relation: http://eprints.imtlucca.it/521/
title: Stabilization conditions for model predictive control of constrained PWA systems
creator: Lazar, Mircea
creator: Heemels, W.P.M.H.
creator: Weiland, Siep
creator: Bemporad, Alberto
subject: QA Mathematics
subject: TJ Mechanical engineering and machinery
description: 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.
publisher: IEEE
date: 2004-12
type: Book Section
type: PeerReviewed
identifier:   Lazar, Mircea and Heemels, W.P.M.H. and Weiland, Siep and Bemporad, Alberto  Stabilization conditions for model predictive control of constrained PWA systems.   In:  Decision and Control Conference.   IEEE, 14th-17th December 2004, pp. 4595-4600.  ISBN 0-7803-8682-5      (2004)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1429508&isnumber=30839
relation: 10.1109/CDC.2004.1429508