Stabilization conditions for model predictive control of constrained PWA systems (2004)
| Venue: | In Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, The Bahamas |
| Citations: | 7 - 7 self |
BibTeX
@INPROCEEDINGS{Lazar04stabilizationconditions,
author = {M. Lazar and Student Member and W. P. M. H. Heemels and S. Weil and A. Bemporad},
title = {Stabilization conditions for model predictive control of constrained PWA systems},
booktitle = {In Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, The Bahamas},
year = {2004}
}
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Abstract
Abstract — Model Predictive Control (MPC) has recently been applied to several relevant classes of hybrid systems with promising results. These developments generated an increasing interest towards issues such as stability and computational problems that arise in hybrid MPC. Stability aspects have been addressed only marginally. In this paper we present an extension of the terminal cost and constraint set method for guaranteeing stability in MPC to the class of constrained piecewise affine systems. Semidefinite programming is used to calculate the employed terminal weight matrix that ensures stability for quadratic cost based MPC. A procedure for computing a robust positively invariant set for piecewise linear systems is also developed. The implementation of the proposed method is illustrated by an example. Index Terms — Piecewise affine systems, Model predictive
