Detailed build log for mpt-26x_20070307_1451.zip

Runtimeaction
0.0 secs build process started at 07-Mar-2007 14:51:55
0.0 secs previous build detected: mpt-26x_20061211_1007.zip 2006-12-11 10:07
0.0 secs Last tip found: a1c8732c01dc
0.0 secs uname -a
 
Linux autlux03 2.6.16.32-ia32-isg-ee-sm-pxe-smp-1 #1 SMP Mon Nov 20 14:23:52 CET 2006 i686 GNU/Linux
0.0 secs version
 
ans =
6.5.1.199709 (R13) Service Pack 1
0.0 secs cd('/home/mpt/matlab/mpt-utils/')
0.0 secs mkdir mptdistr
0.0 secs cd('mptdistr')
41.0 secs hg clone /home/mpt/hg/mpt-26x mpt
 
Not trusting file /home/mpt/hg/mpt-26x/.hg/hgrc from untrusted user mpt, group ifa
requesting all changes
adding changesets
adding manifests
adding file changes
added 976 changesets with 2535 changes to 976 files
971 files updated, 0 files merged, 0 files removed, 0 files unresolved
0.0 secs cd('/home/mpt/matlab/mpt-utils')
0.0 secs cd('mptdistr/mpt/testing')
0.0 secs delete('*.*')
0.0 secs cd('..')
0.3 secs rmdir('testing')
0.0 secs cd('/home/mpt/matlab/mpt-utils')
7.1 secs unzip yalmip.zip -d /home/mpt/matlab/mpt-utils/mptdistr/mpt
 
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0.0 secs cd('mptdistr/mpt/')
1.0 secs hg log -M --style=changelog -r tip:a1c8732c01dc > ChangeLog
0.1 secs mv ChangeLog ..
1.5 secs hg log -M --style=changelog -r tip:MPT_2_0_2 > ChangeLog
0.0 secs cd('/home/mpt/matlab/mpt-utils')
0.0 secs cd('mptdistr/mpt/')
0.3 secs hg tip -v > tip.txt
0.1 secs mv tip.txt ..
0.0 secs cd('/home/mpt/matlab/mpt-utils')
0.0 secs clearing matlab path
0.0 secs adding mpt to matlab path
 
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/.hg')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/docs')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids/auxiliary')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids/control')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids/control/auxiliary')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids/demo')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids/doc')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids/graphics')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids/solvers')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/ellipsoids/solvers/gradient')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/ballandplate')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/ccode')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/demos')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/hysdel')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/models')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/nonlin')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/ownmpc')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/reachdemo')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/turbocar')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/watertanks')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/analysis')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/auxiliary')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/control')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/control/hys2pwa')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/control/mldmpc')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/control/optmerge')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/geometry')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/geometry/obsolete')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/graphics')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/gui')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/extras/simulink')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/analysis')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/auxiliary')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/clustering')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/docs')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/docs/hit')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/docs/hit/analysis')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/docs/hit/auxiliary')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/docs/hit/clustering')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/docs/hit/examples')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/docs/hit/pattern_rec')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/docs/hit/plotting')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/examples')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/pattern_rec')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/hit/plotting')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/SeDuMi105')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/SeDuMi105/conversion')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/SeDuMi105/doc')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/cddmex')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/clp')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/esp')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/espresso')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/fourier')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/glpkmex')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/hysdel')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/demos')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/extras')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/htmldata')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/modules')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/modules/global')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/modules/moment')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/modules/parametric')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/modules/robust')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/modules/sos')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/operators')
addpath('/home/mpt/matlab/mpt-utils/mptdistr/mpt/yalmip/solvers')
0.0 secs rehashing path
 
rehash path
rehash toolbox
rehash toolboxreset
0.1 secs mpt_version
 
ans =
2.6.2
0.0 secs mpt_update
 
Problems connecting to MPT site...
Please check for updates manually at http://control.ee.ethz.ch/~mpt/
2.1 secs mpt_init
 
looking for available solvers...
MPT toolbox 2.6.2 initialized...
Copyright (C) 2003-2006 by M. Kvasnica, P. Grieder and M. Baotic
Send bug reports, questions or comments to mpt@control.ee.ethz.ch
For news, visit the MPT web page at http://control.ee.ethz.ch/~mpt/
LP solver: NAG (e04naf)
QP solver: NAG
MILP solver: GLPK
MIQP solver: YALMIP
Vertex enumeration: CDD
Run 'mpt_studio' to start the GUI. Run 'mpt_setup' to set global parameters.
0.7 secs mpt_init('lpsolver','linprog')
 
looking for available solvers...
MPT toolbox 2.6.2 initialized...
Copyright (C) 2003-2006 by M. Kvasnica, P. Grieder and M. Baotic
Send bug reports, questions or comments to mpt@control.ee.ethz.ch
For news, visit the MPT web page at http://control.ee.ethz.ch/~mpt/
WARNING: you have chosen linprog as a default LP solver.
This solver is very slow and numerically not robust!
We strongly advice you to use some other alternative if possible.
LP solver: linprog
QP solver: NAG
MILP solver: GLPK
MIQP solver: YALMIP
Vertex enumeration: CDD
Run 'mpt_studio' to start the GUI. Run 'mpt_setup' to set global parameters.
0.4 secs mpt_init('qpsolver','quadprog')
 
looking for available solvers...
MPT toolbox 2.6.2 initialized...
Copyright (C) 2003-2006 by M. Kvasnica, P. Grieder and M. Baotic
Send bug reports, questions or comments to mpt@control.ee.ethz.ch
For news, visit the MPT web page at http://control.ee.ethz.ch/~mpt/
LP solver: NAG (e04naf)
QP solver: quadprog
MILP solver: GLPK
MIQP solver: YALMIP
Vertex enumeration: CDD
Run 'mpt_studio' to start the GUI. Run 'mpt_setup' to set global parameters.
0.4 secs mpt_init('extreme_solver','cdd','lpsolver','cdd')
 
looking for available solvers...
MPT toolbox 2.6.2 initialized...
Copyright (C) 2003-2006 by M. Kvasnica, P. Grieder and M. Baotic
Send bug reports, questions or comments to mpt@control.ee.ethz.ch
For news, visit the MPT web page at http://control.ee.ethz.ch/~mpt/
LP solver: CDD Criss-Cross
QP solver: NAG
MILP solver: GLPK
MIQP solver: YALMIP
Vertex enumeration: CDD
Run 'mpt_studio' to start the GUI. Run 'mpt_setup' to set global parameters.
0.4 secs mpt_init('extreme_solver','matlab')
 
looking for available solvers...
MPT toolbox 2.6.2 initialized...
Copyright (C) 2003-2006 by M. Kvasnica, P. Grieder and M. Baotic
Send bug reports, questions or comments to mpt@control.ee.ethz.ch
For news, visit the MPT web page at http://control.ee.ethz.ch/~mpt/
LP solver: NAG (e04naf)
QP solver: NAG
MILP solver: GLPK
MIQP solver: YALMIP
Vertex enumeration: Analytical method
Run 'mpt_studio' to start the GUI. Run 'mpt_setup' to set global parameters.
0.4 secs mpt_init('lpsolver','cdd')
 
looking for available solvers...
MPT toolbox 2.6.2 initialized...
Copyright (C) 2003-2006 by M. Kvasnica, P. Grieder and M. Baotic
Send bug reports, questions or comments to mpt@control.ee.ethz.ch
For news, visit the MPT web page at http://control.ee.ethz.ch/~mpt/
LP solver: CDD Criss-Cross
QP solver: NAG
MILP solver: GLPK
MIQP solver: YALMIP
Vertex enumeration: CDD
Run 'mpt_studio' to start the GUI. Run 'mpt_setup' to set global parameters.
0.0 secs mpt_options('lpsolver','cdd')
0.0 secs mpt_options
 
LP solver: CDD Criss-Cross
QP solver: NAG
MILP solver: GLPK
MIQP solver: YALMIP
Vertex enumeration: CDD
Absolute tolerance: 1.0e-07
Relative tolerance: 1.0e-06
Infinity box size: 10000
Step size: 1.0e-05
Debug level: 1 (0/1/2)
Level of verbosity: 1 (0/1/2)
Level of details: 0 (0/1)
Open new figure: no
0.0 secs o = mpt_options, o.solvers
 
o =
checkupdates: 0
hysdelpath: '/home/mpt/matlab/mpt-utils/mptdistr/mpt/solvers/hysdel/hysdel.linux'
lpsolver: 3
rescueLP: 0
qpsolver: 0
rescueQP: 0
milpsolver: 2
miqpsolver: 1
extreme_solver: 3
abs_tol: 1.0000e-07
rel_tol: 1.0000e-06
step_size: 1.0000e-05
debug_level: 1
infbox: 10000
newfigure: 0
verbose: 1
details: 0
sdpsettings: [1x1 struct]
emptypoly: [1x1 polytope]
solvers: [1x1 struct]
yalmipdata: [1x1 hashtable]
version: '2.6.2'
ans =
lp: [0 9 3]
lp_all: [0 9 3]
qp: 0
milp: 2
miqp: 1
extreme: [3 4 0 2 1]
0.0 secs p = unitbox(2,1);
0.0 secs p = polytope(rand(10,3));
16.2 secs p = polytope(rand(10,3)); plot(p); close all
 
Plotting...
0.0 secs p = polytope(randn(15,4),rand(15,1));
4.9 secs p = polytope(randn(15,4),rand(15,1)); plot(p); close all
 
Plotting...
0.0 secs p = [unitbox(2,1) unitbox(2,2)];
4.9 secs p = [unitbox(2,1) unitbox(2,2)]; plot(p); close all
0.2 secs p = polytope(randn(30,6),rand(30,1)); q = projection(p,1:2);
2.0 secs p = polytope(randn(100,12),rand(100,1)); q = projection(p,1:2);
0.0 secs p1 = polytope(randn(10,3),5*rand(10,1)); p2=unitbox(3,0.1); if isbounded(p1), q=p1+p2; end
0.1 secs p1 = polytope(randn(10,3),5*rand(10,1)); p2=unitbox(3,0.1); if isbounded(p1), q=p1+p2; end
0.0 secs p1 = polytope(randn(10,3),rand(10,1)); p2=unitbox(3,0.1); q=p1-p2;
0.8 secs e = getInnerEllipsoid(unitbox(3,1));
 
Initializing Ellipsoidal Toolbox version 1.1 ...
0.2 secs e = getOutterEllipsoid(unitbox(3,1));
1.9 secs Double_Integrator; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==25);
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
1.4 secs Double_Integrator; probStruct.y0bounds=0; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==43);
 
Adding stabilizing target set constraint...
Region: 20/31 Region: 40/43 mpt_mpqp: 43 regions
-> Generated 1 partition.
Solution consists of 43 regions
2.1 secs Double_Integrator; probStruct.N=Inf; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==35);
 
------------ New Horizon 2 ------------
------------ New Horizon 3 ------------
------------ New Horizon 4 ------------
------------ New Horizon 5 ------------
------------ New Horizon 6 ------------
------------ New Horizon 7 ------------
------------ New Horizon 8 ------------
------------ New Horizon 9 ------------
------------ New Horizon 10 ------------
------------ New Horizon 11 ------------
Solution consists of 35 regions
3.2 secs Double_Integrator; probStruct.N=Inf; probStruct.y0bounds=0; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==69);
 
------------ New Horizon 2 ------------
------------ New Horizon 3 ------------
------------ New Horizon 4 ------------
------------ New Horizon 5 ------------
------------ New Horizon 6 ------------
------------ New Horizon 7 ------------
------------ New Horizon 8 ------------
------------ New Horizon 9 ------------
------------ New Horizon 10 ------------
Region : 60/64
------------ New Horizon 11 ------------
------------ New Horizon 12 ------------
Solution consists of 69 regions
1.9 secs Double_Integrator; probStruct.subopt_lev=1; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==51);
 
WARNING: Prediction horizon "probStruct.N" should be set to Infinity for sub-optimality levels 1!
WARNING: Prediction horizon "probStruct.N" should be set to Infinity for sub-optimality levels 1!
Iteration 1
Iteration 2
Iteration 3
Iteration 4
Iteration 5
Iteration 6
Iteration 7
Iteration 8
Iteration 9
Iteration 10
Iteration 11
Solution consists of 51 regions
1.2 secs Double_Integrator; probStruct.subopt_lev=2; probStruct.N=1; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==3);
 
Iteration 1 mpt_mpqp: 3 regions
Calculating PWQ Lyapunov function...
Computing transition map...
mpt_getPWQLyapFct: Found 7 feasible transitions.
Solving LMI Problem
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: Computing lower bound on Lyapunov function...
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: verifying positivity of function...
mpt_getPWQLyapFct: verifying decay rate of function...
mpt_getPWQLyapFct: Verification showed that function is Lyapunov.
mpt_getPWQLyapFct: SUCCESS: Found Piecewise Quadratic Lyapunov function.
Lyapunov function found, controller is stabilizing
Solution consists of 3 regions
4.8 secs Double_Integrator; probStruct.norm=1; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==110);
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 110 regions
3.3 secs Double_Integrator; probStruct.norm=Inf; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==84);
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 84 regions
0.7 secs Double_Integrator_addU; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==29);
 
Region: 20/26 mpt_mpqp: 29 regions
Solution consists of 29 regions
0.4 secs Double_Integrator_parU; probStruct.N=1; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==13);
 
mpt_mpqp: 13 regions
Solution consists of 13 regions
0.9 secs Double_Integrator_parU; probStruct.N=5; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==15);
 
mpt_mpqp: 15 regions
Solution consists of 15 regions
0.7 secs ThirdOrder; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==3);
 
Adding stabilizing target set constraint...
mpt_mpqp: 3 regions
-> Generated 1 partition.
Solution consists of 3 regions
1.4 secs ThirdOrder; probStruct.y0bounds=0; probStruct.N=Inf; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==35);
 
------------ New Horizon 2 ------------
Region : 20/34
------------ New Horizon 3 ------------
Solution consists of 35 regions
62.9 secs ThirdOrder; probStruct.y0bounds=0; probStruct.norm=1; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==746);
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 746 regions
0.7 secs FourthOrder; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==1);
 
Adding stabilizing target set constraint...
mpt_mpqp: 1 regions
-> Generated 1 partition.
Solution consists of 1 regions
8.3 secs pwa_sincos; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==98);
 
origin included in: 1 2
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 46 hulls to be explored
Generating regions
dynamics 1, hull 1/23 dynamics 1, hull 8/23 dynamics 1, hull 16/23 dynamics 1, hull 23/23 dynamics 2, hull 1/23 dynamics 2, hull 8/23 dynamics 2, hull 16/23 dynamics 2, hull 23/23
164 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 23/23 dynamics 1, hull 16/23 dynamics 1, hull 8/23 dynamics 1, hull 1/23 dynamics 2, hull 23/23 dynamics 2, hull 16/23 dynamics 2, hull 8/23 dynamics 2, hull 1/23
Solution consists of 98 regions
22.9 secs pwa2d; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==157);
 
origin included in: 1
Computing target set
Iteration Number 1
Iteration Number 2
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 new horizon: 8 new horizon: 9 new horizon: 10 new horizon: 11 new horizon: 12 new horizon: 13 new horizon: 14 102 hulls to be explored
Generating regions
dynamics 1, hull 1/65 dynamics 1, hull 22/65 dynamics 1, hull 44/65 dynamics 1, hull 65/65 dynamics 2, hull 1/37 dynamics 2, hull 12/37 dynamics 2, hull 24/37 dynamics 2, hull 36/37 dynamics 2, hull 37/37
363 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 65/65 dynamics 1, hull 44/65 dynamics 1, hull 22/65 dynamics 1, hull 1/65 dynamics 2, hull 37/37 dynamics 2, hull 36/37 dynamics 2, hull 24/37 dynamics 2, hull 12/37 dynamics 2, hull 1/37
Solution consists of 157 regions
157.9 secs pwa_car; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==1050);
 
origin included in: 1
Computing target set
Iteration Number 1
Iteration Number 2
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 new horizon: 8 new horizon: 9 new horizon: 10 new horizon: 11 new horizon: 12 new horizon: 13 new horizon: 14 new horizon: 15 new horizon: 16 new horizon: 17 new horizon: 18 new horizon: 19 new horizon: 20 new horizon: 21 new horizon: 22 new horizon: 23 new horizon: 24 new horizon: 25 new horizon: 26 new horizon: 27 new horizon: 28 new horizon: 29 new horizon: 30 387 hulls to be explored
Generating regions
dynamics 1, hull 1/21 dynamics 1, hull 7/21 dynamics 1, hull 14/21 dynamics 1, hull 21/21 dynamics 2, hull 1/109 dynamics 2, hull 36/109 dynamics 2, hull 72/109 dynamics 2, hull 108/109 dynamics 2, hull 109/109 dynamics 3, hull 1/136 dynamics 3, hull 45/136 dynamics 3, hull 90/136 dynamics 3, hull 135/136 dynamics 3, hull 136/136 dynamics 4, hull 1/121 dynamics 4, hull 40/121 dynamics 4, hull 80/121 dynamics 4, hull 120/121 dynamics 4, hull 121/121
1840 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 21/21 dynamics 1, hull 14/21 dynamics 1, hull 7/21 dynamics 1, hull 1/21 dynamics 2, hull 109/109 dynamics 2, hull 108/109 dynamics 2, hull 72/109 dynamics 2, hull 36/109 dynamics 2, hull 1/109 dynamics 3, hull 136/136 dynamics 3, hull 135/136 dynamics 3, hull 90/136 dynamics 3, hull 45/136 dynamics 3, hull 1/136 dynamics 4, hull 121/121 dynamics 4, hull 120/121 dynamics 4, hull 80/121 dynamics 4, hull 40/121 dynamics 4, hull 1/121
Solution consists of 1050 regions
221.0 secs pwa3d; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==522);
 
origin included in: 1
Computing target set
Iteration Number 1
Iteration Number 2
Iteration Number 3
Iteration Number 4
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 new horizon: 8 new horizon: 9 new horizon: 10 new horizon: 11 new horizon: 12 new horizon: 13 new horizon: 14 182 hulls to be explored
Generating regions
dynamics 1, hull 1/97 dynamics 1, hull 32/97 dynamics 1, hull 64/97 dynamics 1, hull 96/97 dynamics 1, hull 97/97 dynamics 2, hull 1/85 dynamics 2, hull 28/85 dynamics 2, hull 56/85 dynamics 2, hull 84/85 dynamics 2, hull 85/85
1204 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 97/97 dynamics 1, hull 96/97 dynamics 1, hull 64/97 dynamics 1, hull 32/97 dynamics 1, hull 1/97 dynamics 2, hull 85/85 dynamics 2, hull 84/85 dynamics 2, hull 56/85 dynamics 2, hull 28/85 dynamics 2, hull 1/85
Solution consists of 522 regions
10.6 secs pwa_sincos; probStruct.norm=1; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==122);
 
origin included in: 1 2
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 46 hulls to be explored
Generating regions
dynamics 1, hull 1/23 dynamics 1, hull 8/23 dynamics 1, hull 16/23 dynamics 1, hull 23/23 dynamics 2, hull 1/23 dynamics 2, hull 8/23 dynamics 2, hull 16/23 dynamics 2, hull 23/23
218 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 23/23 dynamics 1, hull 16/23 dynamics 1, hull 8/23 dynamics 1, hull 1/23 dynamics 2, hull 23/23 dynamics 2, hull 16/23 dynamics 2, hull 8/23 dynamics 2, hull 1/23
Solution consists of 122 regions
44.9 secs pwa2d; probStruct.norm=1; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==224);
 
origin included in: 1
Computing target set
Iteration Number 1
Iteration Number 2
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 new horizon: 8 new horizon: 9 new horizon: 10 new horizon: 11 new horizon: 12 new horizon: 13 new horizon: 14 102 hulls to be explored
Generating regions
dynamics 1, hull 1/65 dynamics 1, hull 22/65 dynamics 1, hull 44/65 dynamics 1, hull 65/65 dynamics 2, hull 1/37 dynamics 2, hull 12/37 dynamics 2, hull 24/37 dynamics 2, hull 36/37 dynamics 2, hull 37/37
1101 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 65/65 dynamics 1, hull 44/65 dynamics 1, hull 22/65 dynamics 1, hull 1/65 dynamics 2, hull 37/37 dynamics 2, hull 36/37 dynamics 2, hull 24/37 dynamics 2, hull 12/37 dynamics 2, hull 1/37
Solution consists of 224 regions
10.8 secs pwa_sincos; probStruct.norm=Inf; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==160);
 
origin included in: 1 2
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 46 hulls to be explored
Generating regions
dynamics 1, hull 1/23 dynamics 1, hull 8/23 dynamics 1, hull 16/23 dynamics 1, hull 23/23 dynamics 2, hull 1/23 dynamics 2, hull 8/23 dynamics 2, hull 16/23 dynamics 2, hull 23/23
252 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 23/23 dynamics 1, hull 16/23 dynamics 1, hull 8/23 dynamics 1, hull 1/23 dynamics 2, hull 23/23 dynamics 2, hull 16/23 dynamics 2, hull 8/23 dynamics 2, hull 1/23
Solution consists of 160 regions
47.1 secs pwa2d; probStruct.norm=Inf; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==279);
 
origin included in: 1
Computing target set
Iteration Number 1
Iteration Number 2
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 new horizon: 8 new horizon: 9 new horizon: 10 new horizon: 11 new horizon: 12 new horizon: 13 new horizon: 14 102 hulls to be explored
Generating regions
dynamics 1, hull 1/65 dynamics 1, hull 22/65 dynamics 1, hull 44/65 dynamics 1, hull 65/65 dynamics 2, hull 1/37 dynamics 2, hull 12/37 dynamics 2, hull 24/37 dynamics 2, hull 36/37 dynamics 2, hull 37/37
1219 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 65/65 dynamics 1, hull 44/65 dynamics 1, hull 22/65 dynamics 1, hull 1/65 dynamics 2, hull 37/37 dynamics 2, hull 36/37 dynamics 2, hull 24/37 dynamics 2, hull 12/37 dynamics 2, hull 1/37
Solution consists of 279 regions
6.9 secs pwa_sincos; probStruct.norm=Inf; probStruct.subopt_lev=2; probStruct.N=1; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==16 | length(cs)==34);
 
origin included in: 1 2
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 Solving one step problem...
Removing overlaps...
hull 1/2 hull 2/2
16 regions generated
Computing PWQ Lyapunov function...
In PWA case, each dynamics has to be associated with exactly one region!
Linking dynamics to regions...
Computing transition map...
mpt_getPWQLyapFct: Found 52 feasible transitions.
Solving LMI Problem
mpt_getPWQLyapFct: LMI solver found feasible solution.
mpt_getPWQLyapFct: Computing lower bound on Lyapunov function...
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: verifying positivity of function...
mpt_getPWQLyapFct: verifying decay rate of function...
mpt_getPWQLyapFct: Verification showed that function is Lyapunov.
mpt_getPWQLyapFct: SUCCESS: Found Piecewise Quadratic Lyapunov function.
Lyapunov function found, system is stable
Solution consists of 16 regions
11.1 secs pwa2d; probStruct.norm=1; probStruct.subopt_lev=2; probStruct.N=1; cs=mpt_control(sysStruct, probStruct);
 
origin included in: 1
Computing target set
Iteration Number 1
Iteration Number 2
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 new horizon: 8 new horizon: 9 new horizon: 10 new horizon: 11 Solving one step problem...
Removing overlaps...
hull 1/2 hull 2/2
22 regions generated
Computing PWQ Lyapunov function...
In PWA case, each dynamics has to be associated with exactly one region!
Linking dynamics to regions...
Computing transition map...
mpt_getPWQLyapFct: Found 71 feasible transitions.
Solving LMI Problem
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: Computing lower bound on Lyapunov function...
mpt_getPWQLyapFct: LMI solver found feasible solution.
mpt_getPWQLyapFct: verifying positivity of function...
mpt_getPWQLyapFct: verifying decay rate of function...
mpt_getPWQLyapFct: SUCCESS: Found Piecewise Quadratic Lyapunov function.
Lyapunov function found, system is stable
Solution consists of 22 regions
15.6 secs pwa2d; cs=mpt_control(sysStruct, probStruct, struct('iterative',1)); mpt_assert(length(cs)==99);
 
origin included in: 1
Computing target set
Iteration Number 1
Iteration Number 2
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 new horizon: 8 new horizon: 9 new horizon: 10 new horizon: 11 44 hulls to be explored
Generating regions
dynamics 1, hull 1/35 dynamics 1, hull 12/35 dynamics 1, hull 24/35 dynamics 1, hull 35/35 dynamics 2, hull 1/9 dynamics 2, hull 3/9 dynamics 2, hull 6/9 dynamics 2, hull 9/9
170 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 35/35 dynamics 1, hull 24/35 dynamics 1, hull 12/35 dynamics 1, hull 1/35 dynamics 2, hull 9/9 dynamics 2, hull 6/9 dynamics 2, hull 3/9 dynamics 2, hull 1/9
Solution consists of 99 regions
9.4 secs pwa_sincos; cs=mpt_control(sysStruct, probStruct, struct('iterative',1)); mpt_assert(length(cs)==98);
 
origin included in: 1 2
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 46 hulls to be explored
Generating regions
dynamics 1, hull 1/23 dynamics 1, hull 8/23 dynamics 1, hull 16/23 dynamics 1, hull 23/23 dynamics 2, hull 1/23 dynamics 2, hull 8/23 dynamics 2, hull 16/23 dynamics 2, hull 23/23
142 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 23/23 dynamics 1, hull 16/23 dynamics 1, hull 8/23 dynamics 1, hull 1/23 dynamics 2, hull 23/23 dynamics 2, hull 16/23 dynamics 2, hull 8/23 dynamics 2, hull 1/23
Solution consists of 98 regions
24.7 secs pwa_DI_addU; cs=mpt_control(sysStruct, probStruct);
 
origin included in: 1 2 3 4
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 exploring 1 target sets in this iteration
new horizon: 2 exploring 5 target sets in this iteration
new horizon: 3 exploring 9 target sets in this iteration
new horizon: 4 exploring 10 target sets in this iteration
new horizon: 5 exploring 10 target sets in this iteration
new horizon: 6 exploring 7 target sets in this iteration
new horizon: 7 exploring 6 target sets in this iteration
new horizon: 8 exploring 1 target sets in this iteration
new horizon: 9 exploring 1 target sets in this iteration
new horizon: 10 exploring 1 target sets in this iteration
new horizon: 11 exploring 1 target sets in this iteration
new horizon: 12 exploring 1 target sets in this iteration
new horizon: 13 exploring 1 target sets in this iteration
new horizon: 14 exploring 1 target sets in this iteration
new horizon: 15 exploring 1 target sets in this iteration
new horizon: 16 exploring 1 target sets in this iteration
new horizon: 17 exploring 1 target sets in this iteration
118 hulls to be explored
Generating regions
dynamics 1, hull 1/32 dynamics 1, hull 11/32 dynamics 1, hull 22/32 dynamics 1, hull 32/32 dynamics 2, hull 1/29 dynamics 2, hull 10/29 dynamics 2, hull 20/29 dynamics 2, hull 29/29 dynamics 3, hull 1/29 dynamics 3, hull 10/29 dynamics 3, hull 20/29 dynamics 3, hull 29/29 dynamics 4, hull 1/28 dynamics 4, hull 9/28 dynamics 4, hull 18/28 dynamics 4, hull 27/28 dynamics 4, hull 28/28
267 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 32/32 dynamics 1, hull 22/32 dynamics 1, hull 11/32 dynamics 1, hull 1/32 dynamics 2, hull 29/29 dynamics 2, hull 20/29 dynamics 2, hull 10/29 dynamics 2, hull 1/29 dynamics 3, hull 29/29 dynamics 3, hull 20/29 dynamics 3, hull 10/29 dynamics 3, hull 1/29 dynamics 4, hull 28/28 dynamics 4, hull 27/28 dynamics 4, hull 18/28 dynamics 4, hull 9/28 dynamics 4, hull 1/28
Solution consists of 215 regions
26.9 secs pwa2d_addU; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)>250 & length(cs)<272);
 
origin included in: 1
Computing target set
Iteration Number 1
Iteration Number 2
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 exploring 1 target sets in this iteration
new horizon: 2 exploring 2 target sets in this iteration
new horizon: 3 exploring 6 target sets in this iteration
new horizon: 4 exploring 5 target sets in this iteration
new horizon: 5 exploring 8 target sets in this iteration
new horizon: 6 exploring 9 target sets in this iteration
new horizon: 7 exploring 10 target sets in this iteration
new horizon: 8 exploring 10 target sets in this iteration
new horizon: 9 exploring 11 target sets in this iteration
new horizon: 10 exploring 12 target sets in this iteration
new horizon: 11 exploring 9 target sets in this iteration
new horizon: 12 exploring 8 target sets in this iteration
new horizon: 13 exploring 7 target sets in this iteration
new horizon: 14 exploring 4 target sets in this iteration
new horizon: 15 exploring 1 target sets in this iteration
113 hulls to be explored
Generating regions
dynamics 1, hull 1/89 dynamics 1, hull 30/89 dynamics 1, hull 60/89 dynamics 1, hull 89/89 dynamics 2, hull 1/24 dynamics 2, hull 8/24 dynamics 2, hull 16/24 dynamics 2, hull 24/24
323 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 89/89 dynamics 1, hull 60/89 dynamics 1, hull 30/89 dynamics 1, hull 1/89 dynamics 2, hull 24/24 dynamics 2, hull 16/24 dynamics 2, hull 8/24 dynamics 2, hull 1/24
Solution consists of 267 regions
76.0 secs opt_sincos; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==252);
 
Generating the "core"
---Iteration 1---
exploring dynamics 1 exploring dynamics 2 Removed 5 duplicate regions
Removed 5 duplicate regions
Regions: 10
---Iteration 2---
exploring dynamics 1 exploring dynamics 2 Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 19
---Iteration 3---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 49
---Iteration 4---
exploring dynamics 1 exploring dynamics 2 Removed 4 duplicate regions
Removing overlaps...
hull 1/16 hull 5/16 hull 10/16 hull 15/16 hull 16/16
Removed 4 duplicate regions
Removing overlaps...
hull 1/16 hull 5/16 hull 10/16 hull 15/16 hull 16/16
Regions: 80
---Iteration 5---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 30
Core has at least 6 regions but we did not yet fully converge
---Iteration 6---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/10 hull 3/10 hull 6/10 hull 9/10 hull 10/10
Removed 3 duplicate regions
Removing overlaps...
hull 1/10 hull 3/10 hull 6/10 hull 9/10 hull 10/10
Regions: 30
Core consists of 10 regions
Exploring the state-space
---Iteration 1---
exploring dynamics 1 exploring dynamics 2 Removed 8 duplicate regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Removed 8 duplicate regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Regions: 30
Core: 10 regions
Ring: 20 regions
---Iteration 2---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/17 hull 6/17 hull 12/17 hull 17/17
Removed 3 duplicate regions
Removing overlaps...
hull 1/17 hull 6/17 hull 12/17 hull 17/17
Regions: 70
Core: 24 regions
Ring: 46 regions
---Iteration 3---
exploring dynamics 1 exploring dynamics 2 Removed 6 duplicate regions
Removing overlaps...
hull 1/29 hull 10/29 hull 20/29 hull 29/29
Removed 6 duplicate regions
Removing overlaps...
hull 1/29 hull 10/29 hull 20/29 hull 29/29
Regions: 124
Core: 58 regions
Ring: 66 regions
---Iteration 4---
exploring dynamics 1 exploring dynamics 2 Removed 8 duplicate regions
Removing overlaps...
hull 1/35 hull 12/35 hull 24/35 hull 35/35
Removed 8 duplicate regions
Removing overlaps...
hull 1/35 hull 12/35 hull 24/35 hull 35/35
Regions: 188
Core: 104 regions
Ring: 84 regions
---Iteration 5---
exploring dynamics 1 exploring dynamics 2 Removed 4 duplicate regions
Removing overlaps...
hull 1/45 hull 15/45 hull 30/45 hull 45/45
Removed 4 duplicate regions
Removing overlaps...
hull 1/45 hull 15/45 hull 30/45 hull 45/45
Regions: 242
Core: 162 regions
Ring: 80 regions
---Iteration 6---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/23 hull 8/23 hull 16/23 hull 23/23
Removed 3 duplicate regions
Removing overlaps...
hull 1/23 hull 8/23 hull 16/23 hull 23/23
Regions: 252
Core: 218 regions
Ring: 34 regions
---Iteration 7---
exploring dynamics 1 exploring dynamics 2 Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 252
Core: 246 regions
Ring: 6 regions
---Iteration 8---
exploring dynamics 1 exploring dynamics 2 Regions: 252
Core: 252 regions
Ring: 0 regions
Algorithm finished after 8 iterations
Solution consists of 252 regions
8.5 secs two_tanks; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==78 | length(cs)==81 | length(cs)==80);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
--- Step 1 (out of 3) ---
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
-> Generated 2 partitions.
Generated 4 regions
--- Step 2 (out of 3) ---
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 5 regions
mpt_mplp: 3 regions
mpt_mplp: 6 regions
mpt_mplp: 7 regions
mpt_mplp: 4 regions
-> Generated 4 partitions.
Generated 21 regions
--- Step 3 (out of 3) ---
mpt_mplp: 6 regions
mpt_mplp: 7 regions
mpt_mplp: 5 regions
mpt_mplp: 4 regions
mpt_mplp: 9 regions
mpt_mplp: 12 regions
mpt_mplp: 5 regions
mpt_mplp: 10 regions
mpt_mplp: 5 regions
mpt_mplp: 8 regions
mpt_mplp: 10 regions
mpt_mplp: 6 regions
mpt_mplp: 12 regions
mpt_mplp: 5 regions
-> Generated 13 partitions.
Generated 99 regions
Removing overlaps...
hull 1/13 hull 4/13 hull 8/13 hull 12/13 hull 13/13
Solution consists of 78 regions
3.7 secs opt_sincos; probStruct.N=4; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==52);
 
Noise polytope empty.
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 3, targets partitions: 2, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 2, targets partitions: 4, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 1, targets partitions: 6, regions in the previous step 0
dynamic 1
Removed 1 duplicate regions
Removing overlaps...
hull 1/3 hull 2/3 hull 3/3
dynamic 2
Removed 1 duplicate regions
Removing overlaps...
hull 1/3 hull 2/3 hull 3/3
Solution consists of 52 regions
14.7 secs opt_sincos; probStruct.N=4; cs=mpt_control(sysStruct, probStruct, struct('mplpver',3)); mpt_assert(length(cs)==52 | length(cs)==62);
 
WARNING: older version of mpLP solver specified, switching to different algorithm...
--- Step 1 (Horizon 4) ---
exploring dynamics 1 exploring dynamics 2 10 regions in 2 feasible transitions
Regions: 10
--- Step 2 (Horizon 3) ---
exploring dynamics 1 exploring dynamics 2 36 regions in 12 feasible transitions
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 16
--- Step 3 (Horizon 2) ---
exploring dynamics 1 exploring dynamics 2 76 regions in 24 feasible transitions
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 26
--- Step 4 (Horizon 1) ---
exploring dynamics 1 exploring dynamics 2 184 regions in 52 feasible transitions
Removed 6 duplicate regions
Removing overlaps...
hull 1/26 hull 9/26 hull 18/26 hull 26/26
Removed 6 duplicate regions
Removing overlaps...
hull 1/26 hull 9/26 hull 18/26 hull 26/26
Regions: 52
Solution consists of 52 regions
3.7 secs opt_sincos; probStruct.N=4; cs=mpt_control(sysStruct, probStruct, struct('mplpver',4)); mpt_assert(length(cs)==52);
 
Noise polytope empty.
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 3, targets partitions: 2, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 2, targets partitions: 4, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 1, targets partitions: 6, regions in the previous step 0
dynamic 1
Removed 1 duplicate regions
Removing overlaps...
hull 1/3 hull 2/3 hull 3/3
dynamic 2
Removed 1 duplicate regions
Removing overlaps...
hull 1/3 hull 2/3 hull 3/3
Solution consists of 52 regions
149.4 secs opt_sincos; probStruct.N=11; cs=mpt_control(sysStruct, probStruct); mpt_assert(length(cs)==252);
 
Noise polytope empty.
*** Step 11, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 10, targets partitions: 2, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 9, targets partitions: 4, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 8, targets partitions: 6, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 7, targets partitions: 6, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 6, targets partitions: 8, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 5, targets partitions: 12, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 4, targets partitions: 22, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 3, targets partitions: 31, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 2, targets partitions: 42, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 1, targets partitions: 48, regions in the previous step 0
dynamic 1
Removed 365 duplicate regions
Removing overlaps...
hull 1/13 hull 4/13 hull 8/13 hull 12/13 hull 13/13
dynamic 2
Removed 314 duplicate regions
Removing overlaps...
hull 1/14 hull 5/14 hull 10/14 hull 14/14
Solution consists of 252 regions
6.6 secs Double_Integrator; cs=mpt_control(sysStruct, probStruct); mpt_plotPartition(cs); close all
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
7.1 secs Double_Integrator; cs=mpt_control(sysStruct, probStruct); mpt_plotJ(cs); close all
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
Creating PWQ plot...
9.9 secs Double_Integrator; probStruct.norm=1; cs=mpt_control(sysStruct, probStruct); mpt_plotJ(cs); close all
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 110 regions
3.7 secs Double_Integrator; cs=mpt_control(sysStruct, probStruct); mpt_plotU(cs); close all
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
Plotting value of control moves...
4.4 secs Double_Integrator; cs=mpt_control(sysStruct, probStruct); simplot(cs,[2;2]); close all
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
4.0 secs ThirdOrder; cs=mpt_control(sysStruct, probStruct); simplot(cs,[2;2;2]); close all
 
Adding stabilizing target set constraint...
mpt_mpqp: 3 regions
-> Generated 1 partition.
Solution consists of 3 regions
1.2 secs Double_Integrator; cs=mpt_control(sysStruct, probStruct); P=mpt_delaunay(cs.Pfinal);
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
mpt_mplp: 6 regions
9.0 secs Double_Integrator; probStruct.norm=1; cs=mpt_control(sysStruct, probStruct); css=mpt_simplify(cs);
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 110 regions
110 regions with 15 different control laws
control law # 1, 1 region --> 1 region
control law # 2, 43 regions --> 15 regions
control law # 3, 6 regions --> 6 regions
control law # 4, 1 region --> 1 region
control law # 5, 4 regions --> 2 regions
control law # 6, 1 region --> 1 region
control law # 7, 1 region --> 1 region
control law # 8, 1 region --> 1 region
control law # 9, 4 regions --> 2 regions
control law # 10, 43 regions --> 17 regions
control law # 11, 1 region --> 1 region
control law # 12, 1 region --> 1 region
control law # 13, 1 region --> 1 region
control law # 14, 1 region --> 1 region
control law # 15, 1 region --> 1 region
controller partition reduced to 52 regions
14.1 secs Double_Integrator; probStruct.norm=1; cs=mpt_control(sysStruct, probStruct); css=mpt_simplify(cs,struct('merging','optimal'));
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 110 regions
110 regions with 15 different control laws
collect all facets
... found 92 different hyperplanes
collect information about relative position of facets
derive markings of hyperplane arrangement with 38 hyperplanes
... removed 0 polyhedra from hyperplane arrangement with radii below 1.00e-05 or undeterminable color
remove hyperplanes bounding the domain
==> hyperplane arrangement contains 36 hyperplanes and 386 markings

total computation time: 8.86 s
# regions of original PWA model: 110
# regions after extension of hyperplanes: 386
# regions after merging: 28
--> reduction by 82 regions or 74.55 percent

controller partition reduced to 28 regions
9.0 secs Double_Integrator; probStruct.norm=1; cs=mpt_control(sysStruct, probStruct); css=mpt_simplify(cs,struct('merging','greedy'));
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 110 regions
110 regions with 15 different control laws
control law # 1, 1 region --> 1 region
control law # 2, 43 regions --> 13 regions
control law # 3, 6 regions --> 6 regions
control law # 4, 1 region --> 1 region
control law # 5, 4 regions --> 2 regions
control law # 6, 1 region --> 1 region
control law # 7, 1 region --> 1 region
control law # 8, 1 region --> 1 region
control law # 9, 4 regions --> 2 regions
control law # 10, 43 regions --> 15 regions
control law # 11, 1 region --> 1 region
control law # 12, 1 region --> 1 region
control law # 13, 1 region --> 1 region
control law # 14, 1 region --> 1 region
control law # 15, 1 region --> 1 region
controller partition reduced to 48 regions
5.3 secs P=mpt_voronoi(rand(10,2),struct('plot',1)); close all
0.2 secs P=mpt_voronoi(rand(10,3));
2.5 secs matotest; probStruct.Tset=unitbox(2,1); ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==36);
 
WARNING: Terminal set provided, you should set "probStruct.Tconstraint=2" to enforce it...
Using User-Defined Target Set...
Warning: this may not guarantee stability
Warning: setting probStruct.P_N to stage cost.
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 12 hulls to be explored
Generating regions
dynamics 1, hull 1/6 dynamics 1, hull 2/6 dynamics 1, hull 4/6 mpt_mpqp: Degeneracy
mpt_mpqp: Degeneracy
dynamics 1, hull 6/6 dynamics 2, hull 1/6 dynamics 2, hull 2/6 dynamics 2, hull 4/6 mpt_mpqp: Degeneracy
dynamics 2, hull 6/6
48 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 6/6 dynamics 1, hull 4/6 dynamics 1, hull 2/6 dynamics 1, hull 1/6 dynamics 2, hull 6/6 dynamics 2, hull 4/6 dynamics 2, hull 2/6 dynamics 2, hull 1/6
Solution consists of 36 regions
9.1 secs Double_Integrator; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==375 | length(ec)==175);
 
Region: 20/72 Region: 40/111 Region: 60/131 Region: 80/147 Region: 100/166 Region: 120/175 Region: 140/175 Region: 160/175 mpt_mpqp: 175 regions
-> Generated 1 partition.
Solution consists of 175 regions
17.1 secs Double_Integrator; probStruct.tracking=1; probStruct.norm=1; probStruct.N=3; ec=mpt_control(sysStruct, probStruct);
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 270 regions
5.4 secs Double_Integrator; probStruct.tracking=2; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==269 | length(ec)==125);
 
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
Region: 20/58 Region: 40/83 Region: 60/104 Region: 80/124 Region: 100/125 Region: 120/125 mpt_mpqp: 125 regions
-> Generated 1 partition.
Solution consists of 125 regions
10.1 secs Double_Integrator; probStruct.tracking=2; probStruct.norm=1; probStruct.N=3; ec=mpt_control(sysStruct, probStruct);
 
===============================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
===============================================================================
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 238 regions
4.8 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=1; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==197 | length(ec)==117);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Region: 20/64 Region: 40/88 Region: 60/97 Region: 80/114 Region: 100/117 mpt_mpqp: 117 regions
-> Generated 1 partition.
Solution consists of 117 regions
7.7 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=1; probStruct.tracking=1; probStruct.norm=1; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==142);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 142 regions
3.4 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=1; probStruct.tracking=2; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==163 | length(ec)==95);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
Region: 20/46 Region: 40/73 Region: 60/91 Region: 80/95 mpt_mpqp: 95 regions
-> Generated 1 partition.
Solution consists of 95 regions
5.9 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=1; probStruct.tracking=2; probStruct.norm=1; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==122);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
===============================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
===============================================================================
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 122 regions
4.8 secs pwa_DI; probStruct.tracking=1; probStruct.N=1; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=eye(2); ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==112);
 
Noise polytope empty.
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
Solution consists of 112 regions
34.0 secs pwa_DI; probStruct.tracking=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=eye(2); ec=mpt_control(sysStruct, probStruct);
 
===============================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
===============================================================================
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 405 regions
9.5 secs pwa_DI; sysStruct.C={[1 0],[1 0],[1 0],[1 0]}; sysStruct.D={0,0,0,0}; sysStruct.g={0,0,0,0}; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.tracking=1; probStruct.Qy=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=1; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==80);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 80 regions
9.5 secs pwa_DI; sysStruct.C={[1 0],[1 0],[1 0],[1 0]}; sysStruct.D={0,0,0,0}; sysStruct.g={0,0,0,0}; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.tracking=1; probStruct.Qy=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=1; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==80);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 80 regions
3.0 secs two_tanks; probStruct.tracking=2; probStruct=rmfield(probStruct, 'yref'); probStruct.P_N=100; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==36);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
--- Step 1 (out of 2) ---
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
-> Generated 2 partitions.
Generated 4 regions
--- Step 2 (out of 2) ---
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 7 regions
mpt_mplp: 3 regions
mpt_mplp: 6 regions
mpt_mplp: 9 regions
mpt_mplp: 6 regions
-> Generated 4 partitions.
Generated 25 regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 36 regions
5.7 secs two_tanks; probStruct.tracking=2; sysStruct.Uset{1}=[0 0.5 1]; probStruct=rmfield(probStruct, 'yref'); probStruct.P_N=0; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); mpt_assert(length(ec)==55 | length(ec)==53);
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
--- Step 1 (out of 2) ---
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
-> Generated 2 partitions.
Generated 4 regions
--- Step 2 (out of 2) ---
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 4 regions
mpt_mplp: 4 regions
mpt_mplp: 4 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
Binary node 20/24
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
-> Generated 11 partitions.
Generated 35 regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Solution consists of 55 regions
10.6 secs Double_Integrator; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; ec=mpt_control(sysStruct, probStruct); simplot(ec, [2;0]); close all
 
Adding stabilizing target set constraint...
Region: 20/61 Region: 40/89 Region: 60/121 Region: 80/140 Region: 100/164 Region: 120/185 Region: 140/205 Region: 160/208 Region: 180/208 Region: 200/208 mpt_mpqp: 208 regions
-> Generated 1 partition.
Solution consists of 208 regions
10.4 secs Double_Integrator; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.P_N=eye(2); ec=mpt_control(sysStruct, probStruct); simplot(ec, [2;0]); close all
 
Adding stabilizing target set constraint...
Region: 20/61 Region: 40/89 Region: 60/121 Region: 80/140 Region: 100/164 Region: 120/185 Region: 140/205 Region: 160/208 Region: 180/208 Region: 200/208 mpt_mpqp: 208 regions
-> Generated 1 partition.
Solution consists of 208 regions
6.5 secs Double_Integrator; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.yref=[1;0]; probStruct.Qy=eye(2); ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Region: 20/54 Region: 40/78 Region: 60/97 Region: 80/101 Region: 100/101 mpt_mpqp: 101 regions
-> Generated 1 partition.
Solution consists of 101 regions
6.9 secs Double_Integrator; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.yref=[1;0]; probStruct.Qy=eye(2); probStruct.P_N=eye(2); ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Region: 20/54 Region: 40/78 Region: 60/97 Region: 80/101 Region: 100/101 mpt_mpqp: 101 regions
-> Generated 1 partition.
Solution consists of 101 regions
10.3 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
Adding stabilizing target set constraint...
Region: 20/61 Region: 40/89 Region: 60/121 Region: 80/140 Region: 100/164 Region: 120/185 Region: 140/205 Region: 160/208 Region: 180/208 Region: 200/208 mpt_mpqp: 208 regions
-> Generated 1 partition.
Solution consists of 208 regions
6.3 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.yref=1; probStruct.Qy=1; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Region: 20/56 Region: 40/75 Region: 60/92 Region: 80/94 mpt_mpqp: 94 regions
-> Generated 1 partition.
Solution consists of 94 regions
10.4 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.P_N=eye(2); ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
Adding stabilizing target set constraint...
Region: 20/61 Region: 40/89 Region: 60/121 Region: 80/140 Region: 100/164 Region: 120/185 Region: 140/205 Region: 160/208 Region: 180/208 Region: 200/208 mpt_mpqp: 208 regions
-> Generated 1 partition.
Solution consists of 208 regions
6.3 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.yref=1; probStruct.Qy=1; sysStruct.D=0; sysStruct.ymax=5; probStruct.P_N=1; sysStruct.ymin=-5; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Region: 20/56 Region: 40/75 Region: 60/92 Region: 80/94 mpt_mpqp: 94 regions
-> Generated 1 partition.
Solution consists of 94 regions
13.5 secs Double_Integrator; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.norm=1; probStruct.N=3; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 311 regions
6.6 secs Double_Integrator; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.yref=[1;0]; probStruct.Qy=eye(2); probStruct.norm=1; probStruct.N=3; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 110 regions
13.3 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.norm=1; probStruct.N=3; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 311 regions
3.9 secs Double_Integrator; sysStruct.C=[1 0]; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.yref=1; probStruct.Qy=1; sysStruct.D=0; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.norm=1; probStruct.N=3; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 28 regions
14.9 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 140 regions
13.8 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=eye(2); ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 112 regions
7.5 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.Qy=eye(2); probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 60 regions
7.5 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.Qy=eye(2); probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=eye(2); ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 60 regions
10.5 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.Qy=eye(2); probStruct.yref=[1; 0]; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 4 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 4 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 58 regions
COMPUTETRAJECTORY: maximum number of iterations reached!
10.5 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.Qy=eye(2); probStruct.yref=[1; 0]; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=eye(2); ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 4 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 4 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 58 regions
COMPUTETRAJECTORY: maximum number of iterations reached!
8.9 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; sysStruct.C={[1 0],[1 0],[1 0],[1 0]}; sysStruct.D={0,0,0,0}; sysStruct.g={0,0,0,0}; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 95 regions
8.9 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; sysStruct.C={[1 0],[1 0],[1 0],[1 0]}; sysStruct.D={0,0,0,0}; sysStruct.g={0,0,0,0}; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=1; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 95 regions
8.9 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.Qy=2; sysStruct.C={[1 0],[1 0],[1 0],[1 0]}; sysStruct.D={0,0,0,0}; sysStruct.g={0,0,0,0}; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 95 regions
8.8 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.Qy=2; sysStruct.C={[1 0],[1 0],[1 0],[1 0]}; sysStruct.D={0,0,0,0}; sysStruct.g={0,0,0,0}; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=1; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removed 2 duplicate regions
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 95 regions
7.0 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.Qy=2; probStruct.yref=1; sysStruct.C={[1 0],[1 0],[1 0],[1 0]}; sysStruct.D={0,0,0,0}; sysStruct.g={0,0,0,0}; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 58 regions
7.0 secs pwa_DI; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; probStruct.Qy=2; probStruct.yref=1; sysStruct.C={[1 0],[1 0],[1 0],[1 0]}; sysStruct.D={0,0,0,0}; sysStruct.g={0,0,0,0}; sysStruct.ymax=5; sysStruct.ymin=-5; probStruct.Qy=2; probStruct.N=2; probStruct.norm=1; probStruct.subopt_lev=0; probStruct.P_N=1; ec=mpt_control(sysStruct, probStruct); simplot(ec, [1;1]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
dynamic 3
dynamic 4
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 2
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 3
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
dynamic 4
Removing overlaps...
hull 1/4 hull 2/4 hull 3/4 hull 4/4
Solution consists of 58 regions
4.0 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); ecl=mpt_lyapunov(ec, 'pwq');
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
In PWA case, each dynamics has to be associated with exactly one region!
Linking dynamics to regions...
Computing transition map...
mpt_getPWQLyapFct: Found 27 feasible transitions.
Solving LMI Problem
mpt_getPWQLyapFct: LMI solver thinks problem is infeasible: residual 0.022236 (should be positive).
mpt_getPWQLyapFct: Computing lower bound on Lyapunov function...
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: verifying positivity of function...
mpt_getPWQLyapFct: verifying decay rate of function...
mpt_getPWQLyapFct: Verification showed that function is Lyapunov.
mpt_getPWQLyapFct: SUCCESS: Found Piecewise Quadratic Lyapunov function.
PWQ Lyapunov function found, closed-loop system is stable.
The Lyapunov function was stored to ctrl.details.lyapunov
20.7 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); ecl=mpt_lyapunov(ec, 'pwp');
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
No degree of piecewise-polynomail function specified, assuming ndeg=4
In PWA case, each dynamics has to be associated with exactly one region!
Linking dynamics to regions...
Computing transition map...
mpt_getPWPLyapFct: Found 27 feasible transitions.
Solving SOS Problem
mpt_getPWPLyapFct: SOS solver has numerical problems... analyzing solution...
mpt_getPWPLyap: Computing lower bound on Lyapunov function... success!
mpt_getPWPLyapFct: SOS decomposition not certifiable. Running manual verification of results...
mpt_getPWPLyapFct: Verifying Decay rate...mpt_getPWPLyapFct:Decay Verification: SOS solver has found infeasible transitions
mpt_getPWPLyapFct: Verifying Positivity... success!
mpt_getPWPLyapFct: FAILURE: Failed to find Piecewise Polynomial Lyapunov function of degree 4
PWP Lyapunov function NOT found, closed-loop system can be unstable.
8.1 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); ecl=mpt_lyapunov(ec, 'pwp', 2);
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
In PWA case, each dynamics has to be associated with exactly one region!
Linking dynamics to regions...
Computing transition map...
mpt_getPWPLyapFct: Found 27 feasible transitions.
Solving SOS Problem
mpt_getPWPLyapFct: SOS solver has numerical problems... analyzing solution...
mpt_getPWPLyap: Computing lower bound on Lyapunov function... success!
mpt_getPWPLyapFct: SUCCESS: Found Piecewise Polynomial Lyapunov function of degree 2
PWP Lyapunov function found, closed-loop system is stable.
The Lyapunov function was stored to ctrl.details.lyapunov
12.2 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); ecl=mpt_lyapunov(ec, 'sos');
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
No degree of sum of squares function specified, assuming ndeg=4
mpt_getCommonSOSyapFun: SUCCESS: Found Common Polynomial Lyapunov function of degree 4
SOS Lyapunov function found, closed-loop system is stable.
The Lyapunov function was stored to ctrl.details.lyapunov
3.6 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); ecl=mpt_lyapunov(ec, 'sos', 2);
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
mpt_getCommonSOSLyapFct: certifiable SOS decomposition => Lyapunov function found!
mpt_getCommonSOSyapFun: SUCCESS: Found Common Polynomial Lyapunov function of degree 2
SOS Lyapunov function found, closed-loop system is stable.
The Lyapunov function was stored to ctrl.details.lyapunov
1.8 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); ecl=mpt_lyapunov(ec, 'quad');
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
In PWA case, each dynamics has to be associated with exactly one region!
Linking dynamics to regions...
mpt_getQuadLyapFct: LMI solver found feasible solution.
The decay rate is: -0.37566 (should be negative)
Quadratic Lyapunov function found, closed-loop system is stable.
The Lyapunov function was stored to ctrl.details.lyapunov
18.9 secs Double_Integrator; probStruct.N=2; probStruct.norm=1; ec=mpt_control(sysStruct, probStruct); ecl=mpt_lyapunov(ec, 'pwa');
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 28 regions
In PWA case, each dynamics has to be associated with exactly one region!
Linking dynamics to regions...
Computing transition map...
mpt_getPWALyapFct: Found 68 feasible transitions.
Normalizing constraint polytope ...
Switching to solver NAG (e04naf) (faster computation)...
Solving LP...
SUCCESS: System is asymptotically stable! Minimal decay bound -3.8906
PWA Lyapunov function found, closed-loop system is stable.
The Lyapunov function was stored to ctrl.details.lyapunov
13.5 secs Double_Integrator; probStruct.norm=1; ec=mpt_control(sysStruct, probStruct); eci=mpt_invariantSet(ec);
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 110 regions
Linking dynamics to regions...
Linking finished, now computing invariant set...
Iteration Number 1
Computing transition map...
Iteration Number 2
Computing transition map...
2.3 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); R=mpt_reachSets(ec,unitbox(2,1)+[4;0],10);
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
Horizon 5 Horizon 10
7.3 secs Double_Integrator; probStruct.norm=1; ec=mpt_control(sysStruct, probStruct); R=mpt_reachSets(ec,unitbox(2,1)+[4;0],10);
 
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 4, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 110 regions
Horizon 5 Horizon 10
20.7 secs A=[-1 -4; 4 -1]; B=[1;1]; C=[1 0]; D=0; di=ss(A,B,C,D); did=c2d(di,0.02); sst=mpt_sys(did); sst.ymax=10; sst.ymin=-10; sst.umax=1; sst.umin=-1; X0=polytope([0.9 0.1; 0.9 -0.1; 1.1 0.1; 1.1 -0.1]); U0=unitbox(1,0.1); R=mpt_reachSets(sst,X0,U0,100);
 
Horizon 5 Horizon 10 Horizon 15 Horizon 20 Horizon 25
Horizon 30 Horizon 35 Horizon 40 Horizon 45 Horizon 50
Horizon 55 Horizon 60 Horizon 65 Horizon 70 Horizon 75
Horizon 80 Horizon 85 Horizon 90 Horizon 95 Horizon 100
0.1 secs Double_Integrator; R=mpt_reachSets(sysStruct,unitbox(2,1)+[4;0],10);
 
Horizon 5 Horizon 10
0.2 secs Double_Integrator; R=mpt_reachSets(sysStruct,unitbox(2,1)+[4;0],unitbox(1,1),10);
 
Horizon 5 Horizon 10
0.0 secs R=mpt_reachXU(unitbox(2,1)+[3;0], unitbox(1,1), [1 1; 0 1], [1; 0.5])
 
R=
Normalized, minimal representation polytope in R^2
H: [6x2 double]
K: [6x1 double]
normal: 1
minrep: 1
xCheb: [2x1 double]
RCheb: 0.8944
[-0.44721 0.89443] [-0.44721]
[ -0 -1] [ 1.5]
[-0.70711 0.70711] [ -1.0607]
[ 0.44721 -0.89443] x <= [ 2.2361]
[ 0.70711 -0.70711] [ 3.182]
[ -0 1] [ 1.5]
0.0 secs R=mpt_reachXU(unitbox(2,1)+[3;0], unitbox(1,1), [1 1; 0 1], [1; 0.5], [0.5; 0])
 
R=
Normalized, minimal representation polytope in R^2
H: [6x2 double]
K: [6x1 double]
normal: 1
minrep: 1
xCheb: [2x1 double]
RCheb: 0.8944
[-0.44721 0.89443] [-0.67082]
[ -0 -1] [ 1.5]
[-0.70711 0.70711] [ -1.4142]
[ 0.44721 -0.89443] x <= [ 2.4597]
[ 0.70711 -0.70711] [ 3.5355]
[ -0 1] [ 1.5]
0.0 secs R=mpt_reachXU(unitbox(2,1)+[3;0], unitbox(1,1), [1 1; 0 0], [1; 0.5])
 
R=
Normalized, minimal representation polytope in R^2
H: [4x2 double]
K: [4x1 double]
normal: 1
minrep: 1
xCheb: [2x1 double]
RCheb: 0.5000
[-0.44721 0.89443] [-0.44721]
[ -0 -1] [ 0.5]
[ 0.44721 -0.89443] x <= [ 2.2361]
[ -0 1] [ 0.5]
0.0 secs R=mpt_reachXU(unitbox(2,1)+[3;0], unitbox(1,1), [1 1; 0 0], [1; 0.5], [0.5; 0])
 
R=
Normalized, minimal representation polytope in R^2
H: [4x2 double]
K: [4x1 double]
normal: 1
minrep: 1
xCheb: [2x1 double]
RCheb: 0.5000
[-0.44721 0.89443] [-0.67082]
[ -0 -1] [ 0.5]
[ 0.44721 -0.89443] x <= [ 2.4597]
[ -0 1] [ 0.5]
1.8 secs A=[-1 -4; 4 -1]; B=[1;1]; C=[1 0]; D=0; di=ss(A,B,C,D); did=c2d(di,0.02); sst=mpt_sys(did); sst.ymax=10; sst.ymin=-10; sst.umax=1; sst.umin=-1; X0=polytope([0.9 0.1; 0.9 -0.1; 1.1 0.1; 1.1 -0.1]); U0=unitbox(1,0.1); Xf=unitbox(2,0.05)+[0.1; -0.4]; f=mpt_verify(sst,X0,Xf,100,U0); mpt_assert(f);
 
Performing verification based on reachable sets...
Horizon 5 Horizon 10 Horizon 15 Horizon 20 Horizon 25
Horizon 30 Horizon 35 Horizon 40 Horizon 45 Horizon 50
Horizon 55
1.6 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); f=mpt_verify(ec,unitbox(2,1)+[3;0],unitbox(2,0.1),100); mpt_assert(f);
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
Performing verification based on reachable sets...
Horizon 5
0.3 secs Double_Integrator; P=mpt_maxCtrlSet(sysStruct);
 
Iteration 1
0.4 secs Double_Integrator; P=mpt_maxCtrlSet(sysStruct, struct('Kinf', 1));
 
Iteration 1
0.3 secs Double_Integrator_addU; P=mpt_maxCtrlSet(sysStruct);
 
Iteration 1
0.5 secs Double_Integrator_addU; P=mpt_maxCtrlSet(sysStruct, struct('Kinf', 1));
 
Iteration 1
2.8 secs pwa_DI; P=mpt_maxCtrlSet(sysStruct);
 
iteration 1 iteration 2 iteration 3 iteration 4 iteration 5
7.3 secs pwa_DI; P=mpt_maxCtrlSet(sysStruct, struct('Kinf', 1));
 
origin included in: 1 2 3 4
Computing target set
Iteration Number 1
mpt_iterativePWA: union of terminal sets is convex, merging...
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7
4.8 secs pwa_DI_addU; P=mpt_maxCtrlSet(sysStruct);
 
iteration 1 iteration 2 iteration 3 iteration 4 iteration 5
52.6 secs pwa_DI_addU; P=mpt_maxCtrlSet(sysStruct, struct('Kinf', 1));
 
origin included in: 1 2 3 4
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 exploring 1 target sets in this iteration
new horizon: 2 exploring 5 target sets in this iteration
new horizon: 3 exploring 9 target sets in this iteration
new horizon: 4 exploring 14 target sets in this iteration
new horizon: 5 exploring 20 target sets in this iteration
new horizon: 6 exploring 21 target sets in this iteration
new horizon: 7 exploring 21 target sets in this iteration
new horizon: 8 exploring 15 target sets in this iteration
new horizon: 9 exploring 14 target sets in this iteration
new horizon: 10 exploring 13 target sets in this iteration
new horizon: 11 exploring 13 target sets in this iteration
new horizon: 12 exploring 7 target sets in this iteration
new horizon: 13 exploring 7 target sets in this iteration
new horizon: 14 exploring 10 target sets in this iteration
new horizon: 15 exploring 9 target sets in this iteration
new horizon: 16 exploring 11 target sets in this iteration
new horizon: 17 exploring 7 target sets in this iteration
9.0 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); ecst=mpt_searchTree(ec);
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
Eliminating redundant control laws
Law 1/25 Law 10/25 Law 20/25 Law 25/25
Extracting hyperplanes
Removing linear dependent hyperplanes
Line 1/83 Line 10/74 Line 20/64 Line 30/54 Line 40/44
hyperplane 1/44 hyperplane 11/44 hyperplane 22/44 hyperplane 33/44 hyperplane 44/44
iteration 1 iteration 20 Algorithm finished at iteration 32
0.5 secs Double_Integrator; ec=mpt_simplexContr(sysStruct, probStruct); ec
 
Computing feasible Set...
Computing simplices...
Computing interpolation...
Computing input sequences...
Computing input sequences: 1 / 6
Computing input sequences: 2 / 6
Computing input sequences: 3 / 6
Computing input sequences: 4 / 6
Computing input sequences: 5 / 6
Computing input sequences: 6 / 6
ec=
Explicit MPC controller defined over 6 regions in 2D

Controlled system: LTI system, 2 states, 1 input, 2 outputs
Control objective: horizon 5 optimal control problem (2-norm)
Regulation: towards origin
Invariance: the closed-loop system is invariant
Stability: the closed-loop system is stable
Type 'struct(ec)' to see all fields.
Fields can be accessed directly, e.g. type 'ec.Pn' to get the controller partition.
3.4 secs [e,x0]=mpt_getInnerEllipsoid(unitbox(2,1)); mpt_plotellip(e,x0); close all
5.2 secs [e,x0]=mpt_getOutterEllipsoid(unitbox(2,1)); mpt_plotellip(e,x0); close all
3.8 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0]); close all
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
4.3 secs Double_Integrator; probStruct.N=Inf; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0]); close all
 
------------ New Horizon 2 ------------
------------ New Horizon 3 ------------
------------ New Horizon 4 ------------
------------ New Horizon 5 ------------
------------ New Horizon 6 ------------
------------ New Horizon 7 ------------
------------ New Horizon 8 ------------
------------ New Horizon 9 ------------
------------ New Horizon 10 ------------
------------ New Horizon 11 ------------
Solution consists of 35 regions
4.5 secs Double_Integrator; probStruct.subopt_lev=1; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0]); close all
 
WARNING: Prediction horizon "probStruct.N" should be set to Infinity for sub-optimality levels 1!
WARNING: Prediction horizon "probStruct.N" should be set to Infinity for sub-optimality levels 1!
Iteration 1
Iteration 2
Iteration 3
Iteration 4
Iteration 5
Iteration 6
Iteration 7
Iteration 8
Iteration 9
Iteration 10
Iteration 11
Solution consists of 51 regions
3.5 secs Double_Integrator; probStruct.subopt_lev=2; probStruct.N=1; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0]); close all
 
Iteration 1 mpt_mpqp: 3 regions
Calculating PWQ Lyapunov function...
Computing transition map...
mpt_getPWQLyapFct: Found 7 feasible transitions.
Solving LMI Problem
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: Computing lower bound on Lyapunov function...
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: verifying positivity of function...
mpt_getPWQLyapFct: verifying decay rate of function...
mpt_getPWQLyapFct: Verification showed that function is Lyapunov.
mpt_getPWQLyapFct: SUCCESS: Found Piecewise Quadratic Lyapunov function.
Lyapunov function found, controller is stabilizing
Solution consists of 3 regions
4.5 secs Double_Integrator; probStruct.subopt_lev=2; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0]); close all
 
Iteration 1 mpt_mpqp: 7 regions
Calculating PWQ Lyapunov function...
Computing transition map...
mpt_getPWQLyapFct: Found 17 feasible transitions.
Solving LMI Problem
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: Computing lower bound on Lyapunov function...
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: verifying positivity of function...
mpt_getPWQLyapFct: verifying decay rate of function...
mpt_getPWQLyapFct: Verification showed that function is Lyapunov.
mpt_getPWQLyapFct: SUCCESS: Found Piecewise Quadratic Lyapunov function.
Lyapunov function found, controller is stabilizing
Solution consists of 7 regions
3.5 secs ThirdOrder; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;2;2]); close all
 
Adding stabilizing target set constraint...
mpt_mpqp: 3 regions
-> Generated 1 partition.
Solution consists of 3 regions
3.5 secs ThirdOrder; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;2;2],10); close all
 
Adding stabilizing target set constraint...
mpt_mpqp: 3 regions
-> Generated 1 partition.
Solution consists of 3 regions
3.4 secs ThirdOrder; probStruct.N=Inf; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;2;2]); close all
 
------------ New Horizon 2 ------------
Solution consists of 3 regions
3.4 secs ThirdOrder; probStruct.subopt_lev=1; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;2;2]); close all
 
WARNING: Prediction horizon "probStruct.N" should be set to Infinity for sub-optimality levels 1!
WARNING: Prediction horizon "probStruct.N" should be set to Infinity for sub-optimality levels 1!
Iteration 1
Iteration 2
Solution consists of 3 regions
10.8 secs pwa_sincos; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0]); close all
 
origin included in: 1 2
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 46 hulls to be explored
Generating regions
dynamics 1, hull 1/23 dynamics 1, hull 8/23 dynamics 1, hull 16/23 dynamics 1, hull 23/23 dynamics 2, hull 1/23 dynamics 2, hull 8/23 dynamics 2, hull 16/23 dynamics 2, hull 23/23
164 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 23/23 dynamics 1, hull 16/23 dynamics 1, hull 8/23 dynamics 1, hull 1/23 dynamics 2, hull 23/23 dynamics 2, hull 16/23 dynamics 2, hull 8/23 dynamics 2, hull 1/23
Solution consists of 98 regions
79.2 secs opt_sincos; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0]); close all
 
Generating the "core"
---Iteration 1---
exploring dynamics 1 exploring dynamics 2 Removed 5 duplicate regions
Removed 5 duplicate regions
Regions: 10
---Iteration 2---
exploring dynamics 1 exploring dynamics 2 Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 19
---Iteration 3---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 49
---Iteration 4---
exploring dynamics 1 exploring dynamics 2 Removed 4 duplicate regions
Removing overlaps...
hull 1/16 hull 5/16 hull 10/16 hull 15/16 hull 16/16
Removed 4 duplicate regions
Removing overlaps...
hull 1/16 hull 5/16 hull 10/16 hull 15/16 hull 16/16
Regions: 80
---Iteration 5---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 30
Core has at least 6 regions but we did not yet fully converge
---Iteration 6---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/10 hull 3/10 hull 6/10 hull 9/10 hull 10/10
Removed 3 duplicate regions
Removing overlaps...
hull 1/10 hull 3/10 hull 6/10 hull 9/10 hull 10/10
Regions: 30
Core consists of 10 regions
Exploring the state-space
---Iteration 1---
exploring dynamics 1 exploring dynamics 2 Removed 8 duplicate regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Removed 8 duplicate regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Regions: 30
Core: 10 regions
Ring: 20 regions
---Iteration 2---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/17 hull 6/17 hull 12/17 hull 17/17
Removed 3 duplicate regions
Removing overlaps...
hull 1/17 hull 6/17 hull 12/17 hull 17/17
Regions: 70
Core: 24 regions
Ring: 46 regions
---Iteration 3---
exploring dynamics 1 exploring dynamics 2 Removed 6 duplicate regions
Removing overlaps...
hull 1/29 hull 10/29 hull 20/29 hull 29/29
Removed 6 duplicate regions
Removing overlaps...
hull 1/29 hull 10/29 hull 20/29 hull 29/29
Regions: 124
Core: 58 regions
Ring: 66 regions
---Iteration 4---
exploring dynamics 1 exploring dynamics 2 Removed 8 duplicate regions
Removing overlaps...
hull 1/35 hull 12/35 hull 24/35 hull 35/35
Removed 8 duplicate regions
Removing overlaps...
hull 1/35 hull 12/35 hull 24/35 hull 35/35
Regions: 188
Core: 104 regions
Ring: 84 regions
---Iteration 5---
exploring dynamics 1 exploring dynamics 2 Removed 4 duplicate regions
Removing overlaps...
hull 1/45 hull 15/45 hull 30/45 hull 45/45
Removed 4 duplicate regions
Removing overlaps...
hull 1/45 hull 15/45 hull 30/45 hull 45/45
Regions: 242
Core: 162 regions
Ring: 80 regions
---Iteration 6---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/23 hull 8/23 hull 16/23 hull 23/23
Removed 3 duplicate regions
Removing overlaps...
hull 1/23 hull 8/23 hull 16/23 hull 23/23
Regions: 252
Core: 218 regions
Ring: 34 regions
---Iteration 7---
exploring dynamics 1 exploring dynamics 2 Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 252
Core: 246 regions
Ring: 6 regions
---Iteration 8---
exploring dynamics 1 exploring dynamics 2 Regions: 252
Core: 252 regions
Ring: 0 regions
Algorithm finished after 8 iterations
Solution consists of 252 regions
79.3 secs opt_sincos; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0],10); close all
 
Generating the "core"
---Iteration 1---
exploring dynamics 1 exploring dynamics 2 Removed 5 duplicate regions
Removed 5 duplicate regions
Regions: 10
---Iteration 2---
exploring dynamics 1 exploring dynamics 2 Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 19
---Iteration 3---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 49
---Iteration 4---
exploring dynamics 1 exploring dynamics 2 Removed 4 duplicate regions
Removing overlaps...
hull 1/16 hull 5/16 hull 10/16 hull 15/16 hull 16/16
Removed 4 duplicate regions
Removing overlaps...
hull 1/16 hull 5/16 hull 10/16 hull 15/16 hull 16/16
Regions: 80
---Iteration 5---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 30
Core has at least 6 regions but we did not yet fully converge
---Iteration 6---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/10 hull 3/10 hull 6/10 hull 9/10 hull 10/10
Removed 3 duplicate regions
Removing overlaps...
hull 1/10 hull 3/10 hull 6/10 hull 9/10 hull 10/10
Regions: 30
Core consists of 10 regions
Exploring the state-space
---Iteration 1---
exploring dynamics 1 exploring dynamics 2 Removed 8 duplicate regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Removed 8 duplicate regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Regions: 30
Core: 10 regions
Ring: 20 regions
---Iteration 2---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/17 hull 6/17 hull 12/17 hull 17/17
Removed 3 duplicate regions
Removing overlaps...
hull 1/17 hull 6/17 hull 12/17 hull 17/17
Regions: 70
Core: 24 regions
Ring: 46 regions
---Iteration 3---
exploring dynamics 1 exploring dynamics 2 Removed 6 duplicate regions
Removing overlaps...
hull 1/29 hull 10/29 hull 20/29 hull 29/29
Removed 6 duplicate regions
Removing overlaps...
hull 1/29 hull 10/29 hull 20/29 hull 29/29
Regions: 124
Core: 58 regions
Ring: 66 regions
---Iteration 4---
exploring dynamics 1 exploring dynamics 2 Removed 8 duplicate regions
Removing overlaps...
hull 1/35 hull 12/35 hull 24/35 hull 35/35
Removed 8 duplicate regions
Removing overlaps...
hull 1/35 hull 12/35 hull 24/35 hull 35/35
Regions: 188
Core: 104 regions
Ring: 84 regions
---Iteration 5---
exploring dynamics 1 exploring dynamics 2 Removed 4 duplicate regions
Removing overlaps...
hull 1/45 hull 15/45 hull 30/45 hull 45/45
Removed 4 duplicate regions
Removing overlaps...
hull 1/45 hull 15/45 hull 30/45 hull 45/45
Regions: 242
Core: 162 regions
Ring: 80 regions
---Iteration 6---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/23 hull 8/23 hull 16/23 hull 23/23
Removed 3 duplicate regions
Removing overlaps...
hull 1/23 hull 8/23 hull 16/23 hull 23/23
Regions: 252
Core: 218 regions
Ring: 34 regions
---Iteration 7---
exploring dynamics 1 exploring dynamics 2 Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 252
Core: 246 regions
Ring: 6 regions
---Iteration 8---
exploring dynamics 1 exploring dynamics 2 Regions: 252
Core: 252 regions
Ring: 0 regions
Algorithm finished after 8 iterations
Solution consists of 252 regions
4.3 secs opt_sincos; probStruct.N=3; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0]); close all
 
Noise polytope empty.
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 2, targets partitions: 2, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 1, targets partitions: 4, regions in the previous step 0
dynamic 1
Removing overlaps...
hull 1/3 hull 2/3 hull 3/3
dynamic 2
Removing overlaps...
hull 1/3 hull 2/3 hull 3/3
Solution consists of 26 regions
3.6 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;0],10); close all
 
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
4.1 secs ThirdOrder; probStruct.tracking=1; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;2;2],[],struct('reference',[0;0;0])); close all
 
mpt_mpqp: 15 regions
-> Generated 1 partition.
Solution consists of 15 regions
1.6 secs ThirdOrder; probStruct.tracking=1; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); sim(ec,[2;2;2],[],struct('reference',[0;0;0]));
 
mpt_mpqp: 15 regions
-> Generated 1 partition.
Solution consists of 15 regions
3.6 secs ThirdOrder; probStruct.tracking=2; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;2;2],[],struct('reference',[0;0;0])); close all
 
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
mpt_mpqp: 9 regions
-> Generated 1 partition.
Solution consists of 9 regions
4.1 secs ThirdOrder; probStruct.tracking=1; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;2;2],10,struct('reference',[0;0;0])); close all
 
mpt_mpqp: 15 regions
-> Generated 1 partition.
Solution consists of 15 regions
3.6 secs ThirdOrder; probStruct.tracking=2; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); simplot(ec,[2;2;2],10,struct('reference',[0;0;0])); close all
 
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
mpt_mpqp: 9 regions
-> Generated 1 partition.
Solution consists of 9 regions
17.6 secs ThirdOrder; sysStruct.dumax=[1;1]; sysStruct.dumin=[-0.5; -0.3]; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); simplot(ec,[1;1;1]); close all
 
Adding stabilizing target set constraint...
Region: 20/83 Region: 40/126 Region: 60/171 Region: 80/212 Region: 100/240 Region: 120/265 Region: 140/283 Region: 160/288 Region: 180/291 Region: 200/292 Region: 220/294 Region: 240/295 Region: 260/296 Region: 280/298 mpt_mpqp: 299 regions
-> Generated 1 partition.
Solution consists of 299 regions
17.6 secs ThirdOrder; sysStruct.dumax=[1;1]; sysStruct.dumin=[-0.5; -0.3]; probStruct.N=2; ec=mpt_control(sysStruct, probStruct); simplot(ec,[1;1;1],10); close all
 
Adding stabilizing target set constraint...
Region: 20/83 Region: 40/126 Region: 60/171 Region: 80/212 Region: 100/240 Region: 120/265 Region: 140/283 Region: 160/288 Region: 180/291 Region: 200/292 Region: 220/294 Region: 240/295 Region: 260/296 Region: 280/298 mpt_mpqp: 299 regions
-> Generated 1 partition.
Solution consists of 299 regions
3.5 secs ThirdOrder; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[2;2;2],[],struct('reference',[0;0;0])); close all
 
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
3.4 secs ThirdOrder; probStruct.tracking=2; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[2;2;2],[],struct('reference',[0;0;0])); close all
 
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
3.5 secs ThirdOrder; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[2;2;2],10,struct('reference',[0;0;0])); close all
 
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
3.5 secs ThirdOrder; probStruct.tracking=2; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[2;2;2],10,struct('reference',[0;0;0])); close all
 
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
3.5 secs ThirdOrder; sysStruct.dumax=[1;1]; sysStruct.dumin=[-0.5; -0.3]; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[1;1;1]); close all
 
Adding stabilizing target set constraint...
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
3.5 secs ThirdOrder; sysStruct.dumax=[1;1]; sysStruct.dumin=[-0.5; -0.3]; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[1;1;1],10); close all
 
Adding stabilizing target set constraint...
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
0.6 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct, 'online');
 
Adding stabilizing target set constraint...
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
3.6 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[2;2]); close all
 
Adding stabilizing target set constraint...
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
0.7 secs Double_Integrator; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[2;2]); close all
 
Adding stabilizing target set constraint...
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
0.6 secs Double_Integrator; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct, 'online');
 
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
3.8 secs Double_Integrator; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[2;2],[],struct('reference',[1;0])); close all
 
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
0.7 secs Double_Integrator; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[2;2],[],struct('reference',[1;0])); close all
 
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
0.6 secs Double_Integrator; probStruct.tracking=2; ec=mpt_control(sysStruct, probStruct, 'online');
 
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
3.7 secs Double_Integrator; probStruct.tracking=2; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[2;2],[],struct('reference',[1;0])); close all
 
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
0.7 secs Double_Integrator; probStruct.tracking=2; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[2;2],[],struct('reference',[1;0])); close all
 
================================================================================
WARNING: offset-free tracking cannot be guaranteed with probStruct.tracking=2 !
================================================================================
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
0.8 secs Double_Integrator; sysStruct.dumax=0.5; sysStruct.dumin=-0.3; ec=mpt_control(sysStruct, probStruct, 'online');
 
Adding stabilizing target set constraint...
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
3.5 secs Double_Integrator; sysStruct.dumin=-0.3; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[2;0]); close all
 
Adding stabilizing target set constraint...
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
1.0 secs Double_Integrator; sysStruct.dumin=-0.3; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[2;0]); close all
 
Adding stabilizing target set constraint...
Using an LTI model...
WARNING: no state constraints defined, problem can be badly scaled...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
0.9 secs opt_sincos; probStruct.N=5; ec=mpt_control(sysStruct, probStruct, 'online');
 
Using a PWA model...
3.6 secs opt_sincos; probStruct.N=5; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[5;5]); close all
 
Using a PWA model...
1.0 secs opt_sincos; probStruct.N=5; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[5;5]); close all
 
Using a PWA model...
1.2 secs opt_sincos; probStruct.N=5; probStruct.norm=2; ec=mpt_control(sysStruct, probStruct, 'online');
 
Adding stabilizing target set constraint...
Using a PWA model...
6.9 secs opt_sincos; probStruct.N=5; probStruct.norm=2; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[5;5]); close all
 
Adding stabilizing target set constraint...
Using a PWA model...
4.3 secs opt_sincos; probStruct.N=5; probStruct.norm=2; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[5;5]); close all
 
Adding stabilizing target set constraint...
Using a PWA model...
1.3 secs two_tanks; probStruct.N=4; ec=mpt_control(sysStruct, probStruct, 'online');
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Using a PWA model...
4.9 secs two_tanks; probStruct.N=4; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[0.5;0]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Using a PWA model...
2.4 secs two_tanks; probStruct.N=4; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[0.5;0]); close all
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Using a PWA model...
1.2 secs two_tanks; probStruct.N=4; probStruct.norm=2; ec=mpt_control(sysStruct, probStruct, 'online');
 
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Using a PWA model...
1.2 secs opt_sincos; probStruct.N=5; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct, 'online');
 
Using a PWA model...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
16.0 secs opt_sincos; probStruct.N=5; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[5;5],[],struct('reference',[1;0])); close all
 
Using a PWA model...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
COMPUTETRAJECTORY: maximum number of iterations reached!
26.1 secs opt_sincos; probStruct.N=5; probStruct.tracking=1; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[5;5],[],struct('reference',[1;0])); close all
 
Using a PWA model...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
1.2 secs opt_sincos; probStruct.N=5; probStruct.tracking=1; probStruct.norm=2; ec=mpt_control(sysStruct, probStruct, 'online');
 
Using a PWA model...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
198.8 secs opt_sincos; probStruct.N=5; probStruct.tracking=1; probStruct.norm=2; ec=mpt_control(sysStruct, probStruct, 'online'); simplot(ec,[5;5],[],struct('reference',[1;0])); close all
 
Using a PWA model...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
COMPUTETRAJECTORY: maximum number of iterations reached!
389.8 secs opt_sincos; probStruct.N=5; probStruct.tracking=1; probStruct.norm=2; ec=mpt_control(sysStruct, probStruct, 'online'); sim(ec,[5;5],[],struct('reference',[1;0])); close all
 
Using a PWA model...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
53.6 secs evalin('base','ballandplatedemo'); bdclose('all'); close all
 
Simulating...
..............................
..............................
..............................
..........
Now running simulation is Simulink...
17.2 secs evalin('base','turbocardemo'); bdclose('all'); close all
 
No algebraic loops detected.

Conversion from HYSDEL to PWA form finished (2.20 sec)
Value of "probStruct.subopt_lev" not specified, assuming 0...
Using an MLD model...
Warning: Input port 2 of block 'turbocarsim/On-Line Controller' is not connected.
> In /home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/turbocar/turbocardemo.m at line 56
In /home/mpt/matlab/mpt-utils/logged_eval.m at line 14
In /home/mpt/matlab/mpt-utils/test_distro.m at line 383
In /home/mpt/matlab/mpt-utils/makedaily.m at line 353
In /home/mpt/matlab/mpt-utils/make.m at line 210
45.7 secs evalin('base','twotanksdemo'); bdclose('all'); close all
 
No algebraic loops detected.

Conversion from HYSDEL to PWA form finished (1.21 sec)
Computing an explicit controller...
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
--- Step 1 (out of 3) ---
mpt_mplp: 1 regions
mpt_mplp: 1 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
-> Generated 2 partitions.
Generated 4 regions
--- Step 2 (out of 3) ---
mpt_mplp: 4 regions
mpt_mplp: 2 regions
mpt_mplp: 2 regions
mpt_mplp: 3 regions
mpt_mplp: 3 regions
mpt_mplp: 4 regions
-> Generated 5 partitions.
Generated 15 regions
--- Step 3 (out of 3) ---
mpt_mplp: 8 regions
mpt_mplp: 3 regions
mpt_mplp: 5 regions
mpt_mplp: 4 regions
mpt_mplp: 4 regions
mpt_mplp: 4 regions
mpt_mplp: 5 regions
mpt_mplp: 4 regions
mpt_mplp: 4 regions
mpt_mplp: 4 regions
mpt_mplp: 6 regions
mpt_mplp: 12 regions
mpt_mplp: 3 regions
Binary node 20/20
-> Generated 12 partitions.
Generated 62 regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Solution consists of 66 regions
Computing an on-line controller...
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Using an MLD model...
Plotting value of control moves...
Warning: Output port 2 of block 'twotankssim/Explicit Controller' is not connected.
> In /home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/watertanks/twotanksdemo.m at line 72
In /home/mpt/matlab/mpt-utils/logged_eval.m at line 14
In /home/mpt/matlab/mpt-utils/test_distro.m at line 384
In /home/mpt/matlab/mpt-utils/makedaily.m at line 353
In /home/mpt/matlab/mpt-utils/make.m at line 210
Warning: Output port 2 of block 'twotankssim/On-Line Controller' is not connected.
> In /home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/watertanks/twotanksdemo.m at line 72
In /home/mpt/matlab/mpt-utils/logged_eval.m at line 14
In /home/mpt/matlab/mpt-utils/test_distro.m at line 384
In /home/mpt/matlab/mpt-utils/makedaily.m at line 353
In /home/mpt/matlab/mpt-utils/make.m at line 210
19.1 secs evalin('base','fourtanksdemo'); bdclose('all'); close all
 
Value of "probStruct.subopt_lev" not specified, assuming 0...
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Using an LTI model...
The controller will return deltaU=u(k)-u(k-1) instead of u(k) when evaluated!
Warning: Output port 2 of block 'fourtankssim/MPT Controller' is not connected.
> In /home/mpt/matlab/mpt-utils/mptdistr/mpt/examples/watertanks/fourtanksdemo.m at line 78
In /home/mpt/matlab/mpt-utils/logged_eval.m at line 14
In /home/mpt/matlab/mpt-utils/test_distro.m at line 385
In /home/mpt/matlab/mpt-utils/makedaily.m at line 353
In /home/mpt/matlab/mpt-utils/make.m at line 210
8.4 secs reachdemo1; close all
 
Reachability analysis demo - Part 1
Computing N-Step reachable sets
Horizon 5 Horizon 10 Horizon 15 Horizon 20 Horizon 25
Horizon 30 Horizon 35 Horizon 40 Horizon 45 Horizon 50
15.5 secs reachdemo2; close all
 
Reachability analysis demo - Part 2
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 3, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 2, targets partitions: 1, regions in the previous step 0
dynamic 1
*** Step 1, targets partitions: 1, regions in the previous step 0
dynamic 1
Solution consists of 50 regions
Computing N-Step reachable sets
Horizon 5
Now computing also lower-dimensional sets...
Computing N-Step reachable sets (include lower-dimensional sets)
Horizon 5
14.9 secs verifdemo1; close all
 
Verification demo - Part 1
Performing verification...
Performing verification based on reachable sets...
Horizon 5 Horizon 10 Horizon 15 Horizon 20 Horizon 25
Horizon 30 Horizon 35 Horizon 40
Target set CAN be reached in 44 steps
Performing verification with different target set...
Performing verification based on reachable sets...
Horizon 5 Horizon 10 Horizon 15 Horizon 20 Horizon 25
Horizon 30 Horizon 35 Horizon 40 Horizon 45 Horizon 50
Target set CAN NOT be reached in 50 steps
Double-checking results...
Horizon 5 Horizon 10 Horizon 15 Horizon 20 Horizon 25
Horizon 30 Horizon 35 Horizon 40 Horizon 45 Horizon 50
12.7 secs verifdemo2; close all
 
Verification demo - Part 2
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
Performing verification...
Performing verification based on reachable sets...
Horizon 5 Horizon 10
Controller DOES NOT drive system states into Xf in 10 steps
Performing verification with different target set...
Performing verification based on reachable sets...
Horizon 5
Controller drives system states into Xf in 6 steps
Double-check using reach set computation...
Horizon 5 Horizon 10
2.7 secs sysStruct = mpt_sys(which('two_tanks.hys'));
 
No algebraic loops detected.

Conversion from HYSDEL to PWA form finished (1.66 sec)
2.1 secs sysStruct = mpt_sys(which('turbo_car.hys'));
 
No algebraic loops detected.

Conversion from HYSDEL to PWA form finished (1.86 sec)
2.1 secs sysStruct = mpt_sys(which('pwa_car.hys'));
 
No algebraic loops detected.

Conversion from HYSDEL to PWA form finished (1.81 sec)
0.0 secs cd('mptdistr/mpt/examples/demos')
123.5 secs mpt_makedemos
 
making Double_Integrator; probStruct.N=5; probStruct.norm=2;
Adding stabilizing target set constraint...
Region: 20/23 mpt_mpqp: 25 regions
-> Generated 1 partition.
Solution consists of 25 regions
making Double_Integrator; probStruct.N=Inf; probStruct.norm=2;
------------ New Horizon 2 ------------
------------ New Horizon 3 ------------
------------ New Horizon 4 ------------
------------ New Horizon 5 ------------
------------ New Horizon 6 ------------
------------ New Horizon 7 ------------
------------ New Horizon 8 ------------
------------ New Horizon 9 ------------
------------ New Horizon 10 ------------
------------ New Horizon 11 ------------
Solution consists of 35 regions
making Double_Integrator; probStruct.N=Inf; probStruct.norm=2; probStruct.tracking=1;
Region: 20/72 Region: 40/111 Region: 60/131 Region: 80/147 Region: 100/166 Region: 120/175 Region: 140/175 Region: 160/175 mpt_mpqp: 175 regions
-> Generated 1 partition.
Solution consists of 175 regions
making Double_Integrator; probStruct.N=1; probStruct.norm=2; probStruct.subopt_lev=2;
Iteration 1 mpt_mpqp: 3 regions
Calculating PWQ Lyapunov function...
Computing transition map...
mpt_getPWQLyapFct: Found 7 feasible transitions.
Solving LMI Problem
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: Computing lower bound on Lyapunov function...
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: verifying positivity of function...
mpt_getPWQLyapFct: verifying decay rate of function...
mpt_getPWQLyapFct: Verification showed that function is Lyapunov.
mpt_getPWQLyapFct: SUCCESS: Found Piecewise Quadratic Lyapunov function.
Lyapunov function found, controller is stabilizing
Solution consists of 3 regions
making Double_Integrator_addU
Region: 20/26 mpt_mpqp: 29 regions
Solution consists of 29 regions
making Double_Integrator; probStruct.yref = [2;0]; probStruct.Qy = 100*eye(2);
WARNING: Closed-loop stability not guaranteed for penalties on outputs.
Region: 20/26 mpt_mpqp: 26 regions
-> Generated 1 partition.
Solution consists of 26 regions
making pwa_sincos; probStruct.norm = Inf; probStruct.subopt_lev = 0; probStruct.N = 5;
No terminal cost defined. Using the default.
Noise polytope empty.
*** Step 5, targets partitions: 1, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 4, targets partitions: 2, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 3, targets partitions: 4, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 2, targets partitions: 6, regions in the previous step 0
dynamic 1
dynamic 2
*** Step 1, targets partitions: 8, regions in the previous step 0
dynamic 1
Removed 16 duplicate regions
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
dynamic 2
Removed 16 duplicate regions
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Solution consists of 178 regions
making pwa_sincos; probStruct.norm = Inf; probStruct.subopt_lev = 0; probStruct.N = Inf;
Generating the "core"
---Iteration 1---
exploring dynamics 1 exploring dynamics 2 Removed 5 duplicate regions
Removed 5 duplicate regions
Regions: 10
---Iteration 2---
exploring dynamics 1 exploring dynamics 2 Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 19
---Iteration 3---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 49
---Iteration 4---
exploring dynamics 1 exploring dynamics 2 Removed 4 duplicate regions
Removing overlaps...
hull 1/16 hull 5/16 hull 10/16 hull 15/16 hull 16/16
Removed 4 duplicate regions
Removing overlaps...
hull 1/16 hull 5/16 hull 10/16 hull 15/16 hull 16/16
Regions: 80
---Iteration 5---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Removed 3 duplicate regions
Removing overlaps...
hull 1/12 hull 4/12 hull 8/12 hull 12/12
Regions: 30
Core has at least 6 regions but we did not yet fully converge
---Iteration 6---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/10 hull 3/10 hull 6/10 hull 9/10 hull 10/10
Removed 3 duplicate regions
Removing overlaps...
hull 1/10 hull 3/10 hull 6/10 hull 9/10 hull 10/10
Regions: 30
Core consists of 10 regions
Exploring the state-space
---Iteration 1---
exploring dynamics 1 exploring dynamics 2 Removed 8 duplicate regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Removed 8 duplicate regions
Removing overlaps...
hull 1/11 hull 4/11 hull 8/11 hull 11/11
Regions: 30
Core: 10 regions
Ring: 20 regions
---Iteration 2---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/17 hull 6/17 hull 12/17 hull 17/17
Removed 3 duplicate regions
Removing overlaps...
hull 1/17 hull 6/17 hull 12/17 hull 17/17
Regions: 70
Core: 24 regions
Ring: 46 regions
---Iteration 3---
exploring dynamics 1 exploring dynamics 2 Removed 6 duplicate regions
Removing overlaps...
hull 1/29 hull 10/29 hull 20/29 hull 29/29
Removed 6 duplicate regions
Removing overlaps...
hull 1/29 hull 10/29 hull 20/29 hull 29/29
Regions: 124
Core: 58 regions
Ring: 66 regions
---Iteration 4---
exploring dynamics 1 exploring dynamics 2 Removed 8 duplicate regions
Removing overlaps...
hull 1/35 hull 12/35 hull 24/35 hull 35/35
Removed 8 duplicate regions
Removing overlaps...
hull 1/35 hull 12/35 hull 24/35 hull 35/35
Regions: 188
Core: 104 regions
Ring: 84 regions
---Iteration 5---
exploring dynamics 1 exploring dynamics 2 Removed 4 duplicate regions
Removing overlaps...
hull 1/45 hull 15/45 hull 30/45 hull 45/45
Removed 4 duplicate regions
Removing overlaps...
hull 1/45 hull 15/45 hull 30/45 hull 45/45
Regions: 242
Core: 162 regions
Ring: 80 regions
---Iteration 6---
exploring dynamics 1 exploring dynamics 2 Removed 3 duplicate regions
Removing overlaps...
hull 1/23 hull 8/23 hull 16/23 hull 23/23
Removed 3 duplicate regions
Removing overlaps...
hull 1/23 hull 8/23 hull 16/23 hull 23/23
Regions: 252
Core: 218 regions
Ring: 34 regions
---Iteration 7---
exploring dynamics 1 exploring dynamics 2 Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Removing overlaps...
hull 1/6 hull 2/6 hull 4/6 hull 6/6
Regions: 252
Core: 246 regions
Ring: 6 regions
---Iteration 8---
exploring dynamics 1 exploring dynamics 2 Regions: 252
Core: 252 regions
Ring: 0 regions
Algorithm finished after 8 iterations
Solution consists of 252 regions
making pwa_sincos
origin included in: 1 2
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 46 hulls to be explored
Generating regions
dynamics 1, hull 1/23 dynamics 1, hull 8/23 dynamics 1, hull 16/23 dynamics 1, hull 23/23 dynamics 2, hull 1/23 dynamics 2, hull 8/23 dynamics 2, hull 16/23 dynamics 2, hull 23/23
164 regions generated
Removing unused regions (backwards)...
dynamics 1, hull 23/23 dynamics 1, hull 16/23 dynamics 1, hull 8/23 dynamics 1, hull 1/23 dynamics 2, hull 23/23 dynamics 2, hull 16/23 dynamics 2, hull 8/23 dynamics 2, hull 1/23
Solution consists of 98 regions
making pwa_sincos; probStruct.norm = 1; probStruct.N = 1; probStruct.subopt_lev=2;
origin included in: 1 2
Computing target set
Iteration Number 1
Iteration Number 2
Generating feasible set
new horizon: 1 new horizon: 2 new horizon: 3 new horizon: 4 new horizon: 5 new horizon: 6 new horizon: 7 Solving one step problem...
Removing overlaps...
hull 1/2 hull 2/2
16 regions generated
Computing PWQ Lyapunov function...
In PWA case, each dynamics has to be associated with exactly one region!
Linking dynamics to regions...
Computing transition map...
mpt_getPWQLyapFct: Found 52 feasible transitions.
Solving LMI Problem
mpt_getPWQLyapFct: LMI solver found feasible solution.
mpt_getPWQLyapFct: Computing lower bound on Lyapunov function...
mpt_getPWQLyapFct: Numerical problems with LMI solver but solution is feasible.
mpt_getPWQLyapFct: verifying positivity of function...
mpt_getPWQLyapFct: verifying decay rate of function...
mpt_getPWQLyapFct: Verification showed that function is Lyapunov.
mpt_getPWQLyapFct: SUCCESS: Found Piecewise Quadratic Lyapunov function.
Lyapunov function found, system is stable
Solution consists of 16 regions
Adding stabilizing target set constraint...
Region: 20/39 mpt_mpqp: 39 regions
-> Generated 1 partition.
Solution consists of 39 regions
0.1 secs cd('/home/mpt/matlab/mpt-utils')
0.1 secs cd('mptdistr/mpt')
3.8 secs rm -rf .hg/
0.0 secs cd('/home/mpt/matlab/mpt-utils')
0.0 secs cd('mptdistr')
9.2 secs find mpt/ -print | zip -9 mpt-26x_20070307_1451.zip -@
 
adding: mpt/ (stored 0%)
adding: mpt/.hgignore (deflated 48%)
adding: mpt/.hgtags (deflated 43%)
adding: mpt/@mptctrl/ (stored 0%)
adding: mpt/@mptctrl/analyze.m (deflated 64%)
adding: mpt/@mptctrl/cancompile.m (deflated 63%)
adding: mpt/@mptctrl/char.m (deflated 73%)
adding: mpt/@mptctrl/display.m (deflated 63%)
adding: mpt/@mptctrl/extendx0.m (deflated 65%)
adding: mpt/@mptctrl/get.m (deflated 62%)
adding: mpt/@mptctrl/horzcat.m (deflated 53%)
adding: mpt/@mptctrl/info.m (deflated 69%)
adding: mpt/@mptctrl/isexplicit.m (deflated 66%)
adding: mpt/@mptctrl/isinvariant.m (deflated 65%)
adding: mpt/@mptctrl/isstabilizable.m (deflated 66%)
adding: mpt/@mptctrl/length.m (deflated 65%)
adding: mpt/@mptctrl/loadobj.m (deflated 63%)
adding: mpt/@mptctrl/modify.m (deflated 69%)
adding: mpt/@mptctrl/mptctrl.m (deflated 74%)
adding: mpt/@mptctrl/plot.m (deflated 62%)
adding: mpt/@mptctrl/plotj.m (deflated 62%)
adding: mpt/@mptctrl/plotu.m (deflated 62%)
adding: mpt/@mptctrl/private/ (stored 0%)
adding: mpt/@mptctrl/private/addMLDconstraints.m (deflated 59%)
adding: mpt/@mptctrl/private/copyvalidfields.m (deflated 55%)
adding: mpt/@mptctrl/runtime.m (deflated 65%)
adding: mpt/@mptctrl/set.m (deflated 62%)
adding: mpt/@mptctrl/sim.m (deflated 75%)
adding: mpt/@mptctrl/simplot.m (deflated 75%)
adding: mpt/@mptctrl/subsasgn.m (deflated 53%)
adding: mpt/@mptctrl/subsref.m (deflated 63%)
adding: mpt/@mptctrl/vertcat.m (deflated 53%)
adding: mpt/@polytope/ (stored 0%)
adding: mpt/@polytope/Contents.m (deflated 68%)
adding: mpt/@polytope/analyticCenter.m (deflated 64%)
adding: mpt/@polytope/and.m (deflated 66%)
adding: mpt/@polytope/bounding_box.m (deflated 69%)
adding: mpt/@polytope/chebyball.m (deflated 63%)
adding: mpt/@polytope/dimension.m (deflated 64%)
adding: mpt/@polytope/display.m (deflated 63%)
adding: mpt/@polytope/distance.m (deflated 81%)
adding: mpt/@polytope/distribpoints.m (deflated 63%)
adding: mpt/@polytope/dointersect.m (deflated 65%)
adding: mpt/@polytope/domain.m (deflated 65%)
adding: mpt/@polytope/double.m (deflated 67%)
adding: mpt/@polytope/end.m (deflated 65%)
adding: mpt/@polytope/envelope.m (deflated 63%)
adding: mpt/@polytope/eq.m (deflated 69%)
adding: mpt/@polytope/extreme.m (deflated 74%)
adding: mpt/@polytope/facetcircle.m (deflated 64%)
adding: mpt/@polytope/facetvoronoi.m (deflated 61%)
adding: mpt/@polytope/fliplr.m (deflated 62%)
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adding: mpt/solvers/SeDuMi105/incorder.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/incorder.mexglx (deflated 57%)
adding: mpt/solvers/SeDuMi105/incorder.mexsol (deflated 56%)
adding: mpt/solvers/SeDuMi105/invcholfac.c (deflated 69%)
adding: mpt/solvers/SeDuMi105/invcholfac.dll (deflated 60%)
adding: mpt/solvers/SeDuMi105/invcholfac.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/invcholfac.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/invcholfac.mexglx (deflated 56%)
adding: mpt/solvers/SeDuMi105/invcholfac.mexsol (deflated 62%)
adding: mpt/solvers/SeDuMi105/invjmulK.c (deflated 71%)
adding: mpt/solvers/SeDuMi105/invjmulK.m (deflated 60%)
adding: mpt/solvers/SeDuMi105/invscaleK.c (deflated 73%)
adding: mpt/solvers/SeDuMi105/iswnbr.c (deflated 65%)
adding: mpt/solvers/SeDuMi105/iswnbr.dll (deflated 70%)
adding: mpt/solvers/SeDuMi105/iswnbr.m (deflated 60%)
adding: mpt/solvers/SeDuMi105/iswnbr.mexa64 (deflated 65%)
adding: mpt/solvers/SeDuMi105/iswnbr.mexglx (deflated 59%)
adding: mpt/solvers/SeDuMi105/iswnbr.mexsol (deflated 55%)
adding: mpt/solvers/SeDuMi105/jmulK.c (deflated 74%)
adding: mpt/solvers/SeDuMi105/jmulK.m (deflated 67%)
adding: mpt/solvers/SeDuMi105/loopPcg.m (deflated 62%)
adding: mpt/solvers/SeDuMi105/mJdetd.c (deflated 60%)
adding: mpt/solvers/SeDuMi105/makereal.c (deflated 77%)
adding: mpt/solvers/SeDuMi105/makereal.dll (deflated 59%)
adding: mpt/solvers/SeDuMi105/makereal.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/makereal.mexa64 (deflated 59%)
adding: mpt/solvers/SeDuMi105/makereal.mexglx (deflated 55%)
adding: mpt/solvers/SeDuMi105/makereal.mexsol (deflated 59%)
adding: mpt/solvers/SeDuMi105/mat.m (deflated 44%)
adding: mpt/solvers/SeDuMi105/maxstep.m (deflated 57%)
adding: mpt/solvers/SeDuMi105/optstep.m (deflated 63%)
adding: mpt/solvers/SeDuMi105/ordmmd.c (deflated 82%)
adding: mpt/solvers/SeDuMi105/ordmmdmex.c (deflated 66%)
adding: mpt/solvers/SeDuMi105/ordmmdmex.dll (deflated 56%)
adding: mpt/solvers/SeDuMi105/ordmmdmex.m (deflated 43%)
adding: mpt/solvers/SeDuMi105/ordmmdmex.mexa64 (deflated 59%)
adding: mpt/solvers/SeDuMi105/ordmmdmex.mexglx (deflated 55%)
adding: mpt/solvers/SeDuMi105/ordmmdmex.mexsol (deflated 52%)
adding: mpt/solvers/SeDuMi105/partitA.c (deflated 66%)
adding: mpt/solvers/SeDuMi105/partitA.dll (deflated 66%)
adding: mpt/solvers/SeDuMi105/partitA.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/partitA.mexa64 (deflated 64%)
adding: mpt/solvers/SeDuMi105/partitA.mexglx (deflated 59%)
adding: mpt/solvers/SeDuMi105/partitA.mexsol (deflated 62%)
adding: mpt/solvers/SeDuMi105/psdeig.c (deflated 73%)
adding: mpt/solvers/SeDuMi105/posttransfo.m (deflated 57%)
adding: mpt/solvers/SeDuMi105/pretransfo.m (deflated 69%)
adding: mpt/solvers/SeDuMi105/psdeig.dll (deflated 66%)
adding: mpt/solvers/SeDuMi105/psdeig.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/psdeig.mexa64 (deflated 66%)
adding: mpt/solvers/SeDuMi105/psdeig.mexglx (deflated 58%)
adding: mpt/solvers/SeDuMi105/psdeig.mexsol (deflated 59%)
adding: mpt/solvers/SeDuMi105/psdfactor.c (deflated 71%)
adding: mpt/solvers/SeDuMi105/psdfactor.dll (deflated 63%)
adding: mpt/solvers/SeDuMi105/psdfactor.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/psdfactor.mexa64 (deflated 65%)
adding: mpt/solvers/SeDuMi105/psdfactor.mexglx (deflated 58%)
adding: mpt/solvers/SeDuMi105/psdfactor.mexsol (deflated 62%)
adding: mpt/solvers/SeDuMi105/psdframeit.c (deflated 66%)
adding: mpt/solvers/SeDuMi105/psdframeit.dll (deflated 62%)
adding: mpt/solvers/SeDuMi105/psdframeit.mexa64 (deflated 64%)
adding: mpt/solvers/SeDuMi105/psdframeit.mexglx (deflated 56%)
adding: mpt/solvers/SeDuMi105/psdframeit.mexsol (deflated 62%)
adding: mpt/solvers/SeDuMi105/psdinvjmul.c (deflated 70%)
adding: mpt/solvers/SeDuMi105/psdinvjmul.dll (deflated 62%)
adding: mpt/solvers/SeDuMi105/psdinvjmul.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/psdinvjmul.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/psdinvjmul.mexglx (deflated 56%)
adding: mpt/solvers/SeDuMi105/psdinvjmul.mexsol (deflated 62%)
adding: mpt/solvers/SeDuMi105/psdinvscale.c (deflated 69%)
adding: mpt/solvers/SeDuMi105/psdinvscale.dll (deflated 59%)
adding: mpt/solvers/SeDuMi105/psdinvscale.mexa64 (deflated 61%)
adding: mpt/solvers/SeDuMi105/psdinvscale.mexglx (deflated 55%)
adding: mpt/solvers/SeDuMi105/psdinvscale.mexsol (deflated 61%)
adding: mpt/solvers/SeDuMi105/psdjmul.c (deflated 69%)
adding: mpt/solvers/SeDuMi105/psdjmul.dll (deflated 64%)
adding: mpt/solvers/SeDuMi105/psdjmul.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/psdjmul.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/psdjmul.mexglx (deflated 59%)
adding: mpt/solvers/SeDuMi105/psdjmul.mexsol (deflated 62%)
adding: mpt/solvers/SeDuMi105/psdscale.c (deflated 67%)
adding: mpt/solvers/SeDuMi105/psdscale.dll (deflated 58%)
adding: mpt/solvers/SeDuMi105/psdscale.m (deflated 49%)
adding: mpt/solvers/SeDuMi105/psdscale.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/psdscale.mexglx (deflated 56%)
adding: mpt/solvers/SeDuMi105/psdscale.mexsol (deflated 62%)
adding: mpt/solvers/SeDuMi105/qblkmul.c (deflated 65%)
adding: mpt/solvers/SeDuMi105/qblkmul.dll (deflated 75%)
adding: mpt/solvers/SeDuMi105/qblkmul.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/qblkmul.mexa64 (deflated 69%)
adding: mpt/solvers/SeDuMi105/qblkmul.mexglx (deflated 63%)
adding: mpt/solvers/SeDuMi105/qblkmul.mexsol (deflated 64%)
adding: mpt/solvers/SeDuMi105/qframeit.m (deflated 38%)
adding: mpt/solvers/SeDuMi105/qframev.c (deflated 69%)
adding: mpt/solvers/SeDuMi105/qframev.dll (deflated 66%)
adding: mpt/solvers/SeDuMi105/qframev.mexa64 (deflated 66%)
adding: mpt/solvers/SeDuMi105/qframev.mexglx (deflated 59%)
adding: mpt/solvers/SeDuMi105/qframev.mexsol (deflated 63%)
adding: mpt/solvers/SeDuMi105/qinvjmul.m (deflated 55%)
adding: mpt/solvers/SeDuMi105/qinvsqrt.c (deflated 64%)
adding: mpt/solvers/SeDuMi105/qinvsqrt.dll (deflated 67%)
adding: mpt/solvers/SeDuMi105/qinvsqrt.mexa64 (deflated 66%)
adding: mpt/solvers/SeDuMi105/qinvsqrt.mexglx (deflated 60%)
adding: mpt/solvers/SeDuMi105/qinvsqrt.mexsol (deflated 64%)
adding: mpt/solvers/SeDuMi105/qjmul.m (deflated 56%)
adding: mpt/solvers/SeDuMi105/qrK.c (deflated 69%)
adding: mpt/solvers/SeDuMi105/qrK.dll (deflated 63%)
adding: mpt/solvers/SeDuMi105/qrK.mexa64 (deflated 64%)
adding: mpt/solvers/SeDuMi105/qrK.mexglx (deflated 56%)
adding: mpt/solvers/SeDuMi105/qrK.mexsol (deflated 60%)
adding: mpt/solvers/SeDuMi105/qreshape.c (deflated 74%)
adding: mpt/solvers/SeDuMi105/qreshape.dll (deflated 60%)
adding: mpt/solvers/SeDuMi105/qreshape.m (deflated 51%)
adding: mpt/solvers/SeDuMi105/qreshape.mexa64 (deflated 60%)
adding: mpt/solvers/SeDuMi105/qreshape.mexglx (deflated 54%)
adding: mpt/solvers/SeDuMi105/qreshape.mexsol (deflated 61%)
adding: mpt/solvers/SeDuMi105/qscaleK.c (deflated 68%)
adding: mpt/solvers/SeDuMi105/qscaleK.dll (deflated 68%)
adding: mpt/solvers/SeDuMi105/qscaleK.mexa64 (deflated 69%)
adding: mpt/solvers/SeDuMi105/qscaleK.mexglx (deflated 60%)
adding: mpt/solvers/SeDuMi105/qscaleK.mexsol (deflated 63%)
adding: mpt/solvers/SeDuMi105/quadadd.c (deflated 65%)
adding: mpt/solvers/SeDuMi105/quadadd.dll (deflated 73%)
adding: mpt/solvers/SeDuMi105/quadadd.m (deflated 49%)
adding: mpt/solvers/SeDuMi105/quadadd.mexa64 (deflated 67%)
adding: mpt/solvers/SeDuMi105/quadadd.mexglx (deflated 61%)
adding: mpt/solvers/SeDuMi105/quadadd.mexsol (deflated 61%)
adding: mpt/solvers/SeDuMi105/read.me (deflated 45%)
adding: mpt/solvers/SeDuMi105/reflect.c (deflated 79%)
adding: mpt/solvers/SeDuMi105/reflect.h (deflated 74%)
adding: mpt/solvers/SeDuMi105/rotlorentz.m (deflated 44%)
adding: mpt/solvers/SeDuMi105/sddir.m (deflated 58%)
adding: mpt/solvers/SeDuMi105/sdfactor.m (deflated 58%)
adding: mpt/solvers/SeDuMi105/sdinit.m (deflated 60%)
adding: mpt/solvers/SeDuMi105/tdet.m (deflated 49%)
adding: mpt/solvers/SeDuMi105/sdmauxCmp.c (deflated 64%)
adding: mpt/solvers/SeDuMi105/sdmauxCone.c (deflated 67%)
adding: mpt/solvers/SeDuMi105/sdmauxFill.c (deflated 58%)
adding: mpt/solvers/SeDuMi105/sdmauxRdot.c (deflated 70%)
adding: mpt/solvers/SeDuMi105/sdmauxScalarmul.c (deflated 78%)
adding: mpt/solvers/SeDuMi105/sdmauxTriu.c (deflated 73%)
adding: mpt/solvers/SeDuMi105/sdmauxTriudot.c (deflated 56%)
adding: mpt/solvers/SeDuMi105/sedumi.m (deflated 67%)
adding: mpt/solvers/SeDuMi105/sortnnz.c (deflated 66%)
adding: mpt/solvers/SeDuMi105/sortnnz.dll (deflated 66%)
adding: mpt/solvers/SeDuMi105/sortnnz.m (deflated 51%)
adding: mpt/solvers/SeDuMi105/sortnnz.mexa64 (deflated 64%)
adding: mpt/solvers/SeDuMi105/sortnnz.mexglx (deflated 59%)
adding: mpt/solvers/SeDuMi105/sortnnz.mexsol (deflated 63%)
adding: mpt/solvers/SeDuMi105/sparbwslv.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/sparchol.m (deflated 56%)
adding: mpt/solvers/SeDuMi105/sparfwslv.m (deflated 52%)
adding: mpt/solvers/SeDuMi105/spscale.c (deflated 81%)
adding: mpt/solvers/SeDuMi105/sqrtinv.c (deflated 66%)
adding: mpt/solvers/SeDuMi105/sqrtinv.dll (deflated 66%)
adding: mpt/solvers/SeDuMi105/sqrtinv.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/sqrtinv.mexa64 (deflated 64%)
adding: mpt/solvers/SeDuMi105/sqrtinv.mexglx (deflated 58%)
adding: mpt/solvers/SeDuMi105/sqrtinv.mexsol (deflated 61%)
adding: mpt/solvers/SeDuMi105/startup.m.sample (deflated 47%)
adding: mpt/solvers/SeDuMi105/statsK.c (deflated 71%)
adding: mpt/solvers/SeDuMi105/statsK.dll (deflated 67%)
adding: mpt/solvers/SeDuMi105/statsK.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/statsK.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/statsK.mexglx (deflated 58%)
adding: mpt/solvers/SeDuMi105/statsK.mexsol (deflated 62%)
adding: mpt/solvers/SeDuMi105/stepdif.m (deflated 70%)
adding: mpt/solvers/SeDuMi105/symbbwblk.c (deflated 70%)
adding: mpt/solvers/SeDuMi105/symbbwblk.dll (deflated 65%)
adding: mpt/solvers/SeDuMi105/symbbwblk.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/symbbwblk.mexglx (deflated 59%)
adding: mpt/solvers/SeDuMi105/symbbwblk.mexsol (deflated 58%)
adding: mpt/solvers/SeDuMi105/symbchol.m (deflated 57%)
adding: mpt/solvers/SeDuMi105/symbcholden.m (deflated 57%)
adding: mpt/solvers/SeDuMi105/symbfwblk.c (deflated 73%)
adding: mpt/solvers/SeDuMi105/symbfwblk.dll (deflated 64%)
adding: mpt/solvers/SeDuMi105/symbfwblk.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/symbfwblk.mexglx (deflated 58%)
adding: mpt/solvers/SeDuMi105/symbfwblk.mexsol (deflated 56%)
adding: mpt/solvers/SeDuMi105/symfct.c (deflated 85%)
adding: mpt/solvers/SeDuMi105/symfctmex.c (deflated 70%)
adding: mpt/solvers/SeDuMi105/symfctmex.dll (deflated 54%)
adding: mpt/solvers/SeDuMi105/symfctmex.m (deflated 43%)
adding: mpt/solvers/SeDuMi105/symfctmex.mexa64 (deflated 58%)
adding: mpt/solvers/SeDuMi105/symfctmex.mexglx (deflated 54%)
adding: mpt/solvers/SeDuMi105/symfctmex.mexsol (deflated 49%)
adding: mpt/solvers/SeDuMi105/triuaux.c (deflated 82%)
adding: mpt/solvers/SeDuMi105/triuaux.h (deflated 82%)
adding: mpt/solvers/SeDuMi105/triumtriu.c (deflated 69%)
adding: mpt/solvers/SeDuMi105/triumtriu.dll (deflated 65%)
adding: mpt/solvers/SeDuMi105/triumtriu.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/triumtriu.mexa64 (deflated 67%)
adding: mpt/solvers/SeDuMi105/triumtriu.mexglx (deflated 59%)
adding: mpt/solvers/SeDuMi105/triumtriu.mexsol (deflated 65%)
adding: mpt/solvers/SeDuMi105/trydif.m (deflated 51%)
adding: mpt/solvers/SeDuMi105/updtransfo.m (deflated 61%)
adding: mpt/solvers/SeDuMi105/urotorder.c (deflated 77%)
adding: mpt/solvers/SeDuMi105/urotorder.dll (deflated 60%)
adding: mpt/solvers/SeDuMi105/urotorder.m (deflated 49%)
adding: mpt/solvers/SeDuMi105/urotorder.mexa64 (deflated 62%)
adding: mpt/solvers/SeDuMi105/vec.m (deflated 42%)
adding: mpt/solvers/SeDuMi105/urotorder.mexglx (deflated 55%)
adding: mpt/solvers/SeDuMi105/urotorder.mexsol (deflated 59%)
adding: mpt/solvers/SeDuMi105/veccomplex.m (deflated 57%)
adding: mpt/solvers/SeDuMi105/vecreal.m (deflated 64%)
adding: mpt/solvers/SeDuMi105/vecsym.c (deflated 69%)
adding: mpt/solvers/SeDuMi105/vecsym.dll (deflated 67%)
adding: mpt/solvers/SeDuMi105/vecsym.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/vecsym.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/vecsym.mexglx (deflated 58%)
adding: mpt/solvers/SeDuMi105/vecsym.mexsol (deflated 60%)
adding: mpt/solvers/SeDuMi105/vectril.c (deflated 76%)
adding: mpt/solvers/SeDuMi105/vectril.dll (deflated 58%)
adding: mpt/solvers/SeDuMi105/vectril.m (deflated 49%)
adding: mpt/solvers/SeDuMi105/vectril.mexa64 (deflated 60%)
adding: mpt/solvers/SeDuMi105/vectril.mexglx (deflated 55%)
adding: mpt/solvers/SeDuMi105/vectril.mexsol (deflated 61%)
adding: mpt/solvers/SeDuMi105/whichcpx.c (deflated 71%)
adding: mpt/solvers/SeDuMi105/whichcpx.dll (deflated 63%)
adding: mpt/solvers/SeDuMi105/whichcpx.m (deflated 50%)
adding: mpt/solvers/SeDuMi105/whichcpx.mexa64 (deflated 63%)
adding: mpt/solvers/SeDuMi105/whichcpx.mexglx (deflated 58%)
adding: mpt/solvers/SeDuMi105/whichcpx.mexsol (deflated 61%)
adding: mpt/solvers/SeDuMi105/widelen.m (deflated 57%)
adding: mpt/solvers/SeDuMi105/wrapPcg.m (deflated 60%)
adding: mpt/solvers/SeDuMi105/wregion.m (deflated 63%)
adding: mpt/solvers/cddmex/ (stored 0%)
adding: mpt/solvers/cddmex/cddmex.c (deflated 79%)
adding: mpt/solvers/cddmex/cddmex.dll (deflated 55%)
adding: mpt/solvers/cddmex/cddmex.m (deflated 61%)
adding: mpt/solvers/cddmex/cddmex.mexa64 (deflated 55%)
adding: mpt/solvers/cddmex/cddmex.mexglx (deflated 58%)
adding: mpt/solvers/cddmex/cddmex.mexmac (deflated 62%)
adding: mpt/solvers/cddmex/cddmex.mexsol (deflated 61%)
adding: mpt/solvers/cddmex/readme.txt (deflated 63%)
adding: mpt/solvers/clp/ (stored 0%)
adding: mpt/solvers/clp/clp.m (deflated 66%)
adding: mpt/solvers/clp/mexclp.cpp (deflated 70%)
adding: mpt/solvers/clp/mexclp.dll (deflated 49%)
adding: mpt/solvers/esp/ (stored 0%)
adding: mpt/solvers/esp/H2normalize.m (deflated 37%)
adding: mpt/solvers/esp/a2s.m (deflated 22%)
adding: mpt/solvers/esp/esp.m (deflated 48%)
adding: mpt/solvers/esp/esp_1D.m (deflated 62%)
adding: mpt/solvers/esp/esp_LP.m (deflated 48%)
adding: mpt/solvers/esp/esp_adj.m (deflated 47%)
adding: mpt/solvers/esp/esp_affhull.m (deflated 49%)
adding: mpt/solvers/esp/esp_affhull_checkall.m (deflated 37%)
adding: mpt/solvers/esp/esp_affhull_one.m (deflated 42%)
adding: mpt/solvers/esp/esp_dual_make_unique.m (deflated 52%)
adding: mpt/solvers/esp/esp_fulldim.m (deflated 58%)
adding: mpt/solvers/esp/esp_helper.m (deflated 52%)
adding: mpt/solvers/esp/esp_innerball.m (deflated 48%)
adding: mpt/solvers/esp/esp_isdegen.m (deflated 60%)
adding: mpt/solvers/esp/esp_null.m (deflated 42%)
adding: mpt/solvers/esp/esp_preptable.m (deflated 30%)
adding: mpt/solvers/esp/esp_projaff.m (deflated 49%)
adding: mpt/solvers/esp/esp_rdg.m (deflated 62%)
adding: mpt/solvers/esp/esp_setdiff.m (deflated 49%)
adding: mpt/solvers/esp/esp_setdiff_c.c (deflated 52%)
adding: mpt/solvers/esp/esp_shift.m (deflated 30%)
adding: mpt/solvers/esp/esp_setdiff_c.dll (deflated 72%)
adding: mpt/solvers/esp/esp_setdiff_c.mexa64 (deflated 68%)
adding: mpt/solvers/esp/esp_setdiff_c.mexglx (deflated 62%)
adding: mpt/solvers/esp/esp_setdiff_c.mexmac (deflated 84%)
adding: mpt/solvers/esp/esp_setdiff_c.mexsol (deflated 63%)
adding: mpt/solvers/esp/esp_shoot.m (deflated 49%)
adding: mpt/solvers/esp/esp_table.m (deflated 61%)
adding: mpt/solvers/esp/mpt_esp.m (deflated 26%)
adding: mpt/solvers/esp/polydim.m (deflated 25%)
adding: mpt/solvers/espresso/ (stored 0%)
adding: mpt/solvers/espresso/espresso.exe (deflated 49%)
adding: mpt/solvers/espresso/espresso.linux (deflated 56%)
adding: mpt/solvers/fourier/ (stored 0%)
adding: mpt/solvers/fourier/fourier.cc (deflated 65%)
adding: mpt/solvers/fourier/fourier.dll (deflated 50%)
adding: mpt/solvers/fourier/fourier.h (deflated 58%)
adding: mpt/solvers/fourier/fourier.m (deflated 53%)
adding: mpt/solvers/fourier/fourier.mexa64 (deflated 60%)
adding: mpt/solvers/fourier/fourier.mexglx (deflated 61%)
adding: mpt/solvers/fourier/fourier.mexmac (deflated 61%)
adding: mpt/solvers/fourier/fourier.mexsol (deflated 60%)
adding: mpt/solvers/fourier/makelinux.m (deflated 33%)
adding: mpt/solvers/fourier/makewin.m (deflated 47%)
adding: mpt/solvers/fourier/matlab_driver.cc (deflated 51%)
adding: mpt/solvers/fourier/readme.txt (deflated 52%)
adding: mpt/solvers/fourier/support.cc (deflated 70%)
adding: mpt/solvers/glpkmex/ (stored 0%)
adding: mpt/solvers/glpkmex/COPYING (deflated 62%)
adding: mpt/solvers/glpkmex/ChangeLog (deflated 57%)
adding: mpt/solvers/glpkmex/INSTALL (deflated 59%)
adding: mpt/solvers/glpkmex/glpkfun.h (deflated 63%)
adding: mpt/solvers/glpkmex/glpkmex.c (deflated 73%)
adding: mpt/solvers/glpkmex/glpkmex.dll (deflated 54%)
adding: mpt/solvers/glpkmex/glpkmex.m (deflated 63%)
adding: mpt/solvers/glpkmex/glpkmex.mexglx (deflated 55%)
adding: mpt/solvers/glpkmex/glpkmex.mexmac (deflated 63%)
adding: mpt/solvers/glpkmex/glpkmex.mexsol (deflated 71%)
adding: mpt/solvers/glpkmex/glpkparams.m (deflated 71%)
adding: mpt/solvers/glpkmex/glpksets.h (deflated 54%)
adding: mpt/solvers/glpkmex/glpksparse.m (deflated 35%)
adding: mpt/solvers/glpkmex/glpktest1.m (deflated 32%)
adding: mpt/solvers/glpkmex/glpktest2.m (deflated 50%)
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adding: mpt/hit/hit_error.m (deflated 54%)
adding: mpt/ChangeLog (deflated 73%)
0.0 secs touch -t 200703071451 mpt-26x_20070307_1451.zip
0.0 secs mv mpt-26x_20070307_1451.zip /home/mpt/public_html/daily/builds/
0.0 secs cd('/home/mpt/matlab/mpt-utils')
0.0 secs build process finished at 07-Mar-2007 15:41:45
0.0 secs build took 2989.4 seconds