eprintid: 521
rev_number: 14
eprint_status: archive
userid: 7
dir: disk0/00/00/05/21
datestamp: 2011-07-27 08:47:36
lastmod: 2011-08-05 13:54:10
status_changed: 2011-07-27 08:47:36
type: book_section
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Lazar, Mircea
creators_name: Heemels, W.P.M.H.
creators_name: Weiland, Siep
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: Stabilization conditions for model predictive control of constrained PWA systems
ispublished: pub
subjects: QA
subjects: TJ
divisions: CSA
full_text_status: none
keywords: constrained piecewise affine systems; constraint set method; linear matrix inequalities; model predictive control; positively invariant sets; semidefinite programming; stabilization conditions; terminal cost; linear matrix inequalities; mathematical programming; predictive control; set theory; stability
abstract: Model predictive control (MPC) has recently been applied to several relevant classes of hybrid systems with promising results. These developments generated an increasing interest towards issues such as stability and computational problems that arise in hybrid MPC. Stability aspects have been addressed only marginally. In this paper we present an extension of the terminal cost and constraint set method for guaranteeing stability in MPC to the class of constrained piecewise affine systems. Semidefinite programming is used to calculate the employed terminal weight matrix that ensures stability for quadratic cost based MPC. A procedure for computing a robust positively invariant set for piecewise linear systems is also developed. The implementation of the proposed method is illustrated by an example.
date: 2004-12
date_type: published
publication: Proc. 43th IEEE Conf. on Decision and Control
volume: 5
publisher: IEEE
place_of_pub: 14th-17th December 2004
pagerange: 4595-4600
event_dates: Paradise Island, Bahamas
id_number: 10.1109/CDC.2004.1429508
refereed: TRUE
isbn: 0-7803-8682-5
book_title: Decision and Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1429508&isnumber=30839
citation:   Lazar, Mircea and Heemels, W.P.M.H. and Weiland, Siep and Bemporad, Alberto  Stabilization conditions for model predictive control of constrained PWA systems.   In:  Decision and Control Conference.   IEEE, 14th-17th December 2004, pp. 4595-4600.  ISBN 0-7803-8682-5      (2004)