eprintid: 574
rev_number: 9
eprint_status: archive
userid: 7
dir: disk0/00/00/05/74
datestamp: 2011-07-27 09:16:40
lastmod: 2014-07-17 12:22:02
status_changed: 2011-07-27 09:16:40
type: book_section
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Torrisi, Fabio Danilo
creators_name: Morari, Manfred
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
creators_id: 
title: Performance analysis of piecewise linear systems and model predictive control systems
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: continuous piecewise affine function; feedback interconnection; feedback loops; hybrid systems; model predictive control systems; performance analysis; piecewise linear systems; plant model; prediction model; reachability analysis problem; stability domain; control system analysis; feedback; linear systems; predictive control; reachability analysis; stability
abstract: 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
date: 2000
date_type: published
publication: Proc. 39th IEEE Conf. on Decision and Control
volume: 5
publisher: IEEE
place_of_pub: Sydney, Australia December, 2000
pagerange: 4957-4962
event_dates: Sydney, Australia
id_number: 10.1109/CDC.2001.914718
refereed: TRUE
isbn: 0-7803-6638-7 
book_title: Decision and Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=914718&isnumber=19751
citation:   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)