relation: http://eprints.imtlucca.it/493/
title: Stabilizing model predictive control of hybrid systems
creator: Lazar, Mircea
creator: Heemels, W.P.M.H.
creator: Weiland, Siep
creator: Bemporad, Alberto
subject: TJ Mechanical engineering and machinery
subject: TL Motor vehicles. Aeronautics. Astronautics
description: In this note, we investigate the stability of hybrid systems in closed-loop with model predictive controllers (MPC). A priori sufficient conditions for Lyapunov asymptotic stability and exponential stability are derived in the terminal cost and constraint set fashion, while allowing for discontinuous system dynamics and discontinuous MPC value functions. For constrained piecewise affine (PWA) systems as prediction models, we present novel techniques for computing a terminal cost and a terminal constraint set that satisfy the developed stabilization conditions. For quadratic MPC costs, these conditions translate into a linear matrix inequality while, for MPC costs based on 1, infin-norms, they are obtained as norm inequalities. New ways for calculating low complexity piecewise polyhedral positively invariant sets for PWA systems are also presented. An example illustrates the developed theory
publisher: IEEE 
date: 2006-11
type: Article
type: PeerReviewed
identifier:   Lazar, Mircea and Heemels, W.P.M.H. and Weiland, Siep and Bemporad, Alberto  Stabilizing model predictive control of hybrid systems.  IEEE Transactions on Automatic Control, 51 (11).  pp. 1813-1818.  ISSN 0018-9286      (2006)  
relation: 10.1109/TAC.2006.883059