DocumentCode
2634457
Title
Infinite time optimal control of hybrid systems with a linear performance index
Author
Baotic, Mato ; Christophersen, Frank J. ; Morari, Manfred
Author_Institution
Autom. Control Lab., ETH Zentrum, Zurich, Switzerland
Volume
3
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
3191
Abstract
We consider the constrained infinite time optimal control problem for the class of discrete time linear hybrid systems. When a linear performance index is used the infinite time optimal solution is a piecewise affine (PWA) state feedback control law. In this paper we present an algorithm that computes the optimal solution in a computationally efficient manner. It combines a dynamic programming exploration strategy with a multi-parametric linear programming solver and basic polyhedral manipulation.
Keywords
discrete time systems; dynamic programming; linear programming; linear systems; optimal control; performance index; discrete time linear hybrid systems; dynamic programming; hybrid systems; infinite time optimal control; linear performance index; linear programming; piecewise affine state feedback control law; polyhedral manipulation; Automatic control; Control systems; Dynamic programming; Equations; Laboratories; Linear programming; Optimal control; Performance analysis; Stability; Time factors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1273113
Filename
1273113
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