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Controller Complexity Reduction for Piecewise Affine Systems Through Safe Region Elimination

Author(s):

F.J. Christophersen, M.N. Zeilinger, C.N. Jones, M. Morari
Conference/Journal:

IEEE Conference on Decision and Control, New Orleans, USA
Abstract:

We consider the class of piecewise affine optimal state feedback control laws applied to discrete-time piecewise affine systems, motivated by recent work on the computation of closed-form MPC controllers. The storage demand and complexity of these optimal closed-form solutions limit their applicability in most real-life situations. In this paper we present a novel algorithm to a posteriori reduce the storage demand and complexity of the closed-form controller without losing closed-loop stability or all time feasibility while guaranteeing a bounded performance decay compared to the optimal solution. The algorithm combines simple polyhedral manipulations with (multi-parametric) linear programming and the effectiveness of the algorithm is demonstrated on a large numerical example.

Year:

2007
Type of Publication:

(01)Article
Supervisor:

M. Morari

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@InProceedings{ChrEtal:cdc:07,
  author       = {F. J. Christophersen and M. N. Zeilinger and
                  C. N. Jones and M. Morari},
  title	       = {{Controller Complexity Reduction for Piecewise
                  Affine Systems Through Safe Region Elimination}},
  booktitle    = {Proc.~of the Conf.~on Decision \& Control},
  year	       = 2007,
  address      = {New Orleans, USA},
  month	       = dec,
}
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