relation: http://eprints.imtlucca.it/584/
title: On hybrid systems and closed-loop MPC systems
creator: Bemporad, Alberto
creator: Heemels, W.P.M.H.
creator: De Schutter, Bart
subject: QA Mathematics
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: The following five classes of hybrid systems were proved by W.P.M.H. Heemels et al. (2001) to be equivalent: linear complementarity (LC) systems, extended linear complementarity (ELC) systems, mixed logical-dynamical (MLD) systems, piecewise affine (PWA) systems and max-min-plus-scaling (MMPS) systems. Some of the equivalences were obtained under additional assumptions, such as boundedness of system variables. In this paper, for closed-loop linear or hybrid plants with model-predictive control (MPC) based on a linear model and fulfilling linear constraints on the input and state variables, we provide a simple and direct proof that the closed-loop system (cl-MPC) is a subclass of any of the former five classes of hybrid systems. This result opens up the use of tools developed for hybrid systems (such as stability, robust stability and safety analysis tools) to study the closed-loop properties of MPC
publisher: IEEE
date: 2001
type: Book Section
type: PeerReviewed
identifier:   Bemporad, Alberto and Heemels, W.P.M.H. and De Schutter, Bart  On hybrid systems and closed-loop MPC systems.   In:  Decision and Control Conference.   IEEE, Orlando, Florida USA, December 2001, pp. 1645-1650.  ISBN 0-7803-7061-9       (2001)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=981137&isnumber=21128
relation: 10.1109/.2001.981137