relation: http://eprints.imtlucca.it/574/
title: Performance analysis of piecewise linear systems and model predictive control systems
creator: Bemporad, Alberto
creator: Torrisi, Fabio Danilo
creator: Morari, Manfred
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: Bemporad and Morari (1999) provided a tool for obtaining the explicit solution of constrained model predictive control (MPG) problems by showing that the control law is a continuous piecewise affine (PWA) function of the state vector. Therefore, the feedback interconnection between the MPC controller and a linear system, or a PWA system (e.g., a PWA approximation of a nonlinear system), is a PWA system. For discrete-time PWA and hybrid systems, the present authors (2000) presented an algorithm for verification/reachability analysis. In this paper, we formulate the performance analysis problem of closed-loop PWA systems (including MPC feedback loops where the prediction model and the plant model could be different) as a reachability analysis problem, and use our algorithm to obtain a tool for characterizing (i) the set of states for which the evolution is feasible, (ii) the domain of stability, (iii) the performance of the closed-loop
publisher: IEEE
date: 2000
type: Book Section
type: PeerReviewed
identifier:   Bemporad, Alberto and Torrisi, Fabio Danilo and Morari, Manfred  Performance analysis of piecewise linear systems and model predictive control systems.   In:  Decision and Control Conference.   IEEE, Sydney, Australia December, 2000, pp. 4957-4962.  ISBN 0-7803-6638-7       (2000)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=914718&isnumber=19751
relation: 10.1109/CDC.2001.914718