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Constrained Optimal Control of Hybrid Systems with a Linear Performance Index

Author(s):

M. Baotic, F.J. Christophersen, M. Morari
Conference/Journal:

vol. AUT04-05
Abstract:

We consider the constrained finite and infinite time optimal control problem for the class of discrete-time linear hybrid systems. When a linear performance index is used the finite and infinite time optimal solution is a piecewise affine state feedback control law. In this paper we present algorithms that compute the optimal solution to both problems in a computationally efficient manner and with guaranteed convergence and error bounds. Both algorithms combine a dynamic programming exploration strategy with multi-parametric linear programming and basic polyhedral manipulation.

Year:

2004
Type of Publication:

(04)Technical Report
Supervisor:

M. Morari

No Files for download available.
@TechReport{BaoEtal:tac:04:trep,
  author       = {M. Baoti{\'c} and F. J. Christophersen and
                  M. Morari},
  title	       = {{Constrained Optimal Control of Hybrid Systems with
                  a Linear Performance Index}},
  institution  = ifa,
  year	       = {2004},
  number       = {AUT04-05},
  address      = ethz,
  month	       = aug,
  url	       =
                  {http://control.ee.ethz.ch/index.cgi?page=publications&action=details&id=1869},
  keywords     = {constrained systems, finite time, infinite time,
                  optimal control, discrete-time, hybrid systems,
                  piecewise affine systems, dynamic programming,
                  multi-parametric linear program},
}
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