relation: http://eprints.imtlucca.it/473/
title: On hybrid systems and closed-loop MPC systems
creator: Bemporad, Alberto
creator: Heemels, W.P.M.H.
creator: De Schutter, Bart
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: The following five classes of hybrid systems were recently proven to be equivalent: linear complementarity, extended linear complementarity, mixed logical dynamical systems, piecewise affine systems and max-min-plus-scaling systems. Some of the equivalences were obtained under additional assumptions, such as boundedness of certain system variables. In this paper, for linear or hybrid plants in closed-loop with a model predictive control (MPC)controller based on a linear model fulfilling linear constraints on input and state variables and utilizing a quadratic cost criterion, we provide a simple and direct proof that the closed-loop system is a subclass of any of the former five classes of hybrid systems. This result is of extreme importance, as it opens up the use of tools developed for the mentioned hybrid model classes, such as (robust) stability and safety analysis tools, to study closed-loop properties of MPC
publisher: IEEE
date: 2002-05
type: Article
type: PeerReviewed
identifier:   Bemporad, Alberto and Heemels, W.P.M.H. and De Schutter, Bart  On hybrid systems and closed-loop MPC systems.  IEEE Transactions on Automatic Control, 47 (5).  pp. 863-869.  ISSN 0018-9286      (2002)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1000287&isnumber=21605
relation: 10.1109/TAC.2002.1000287