eprintid: 562
rev_number: 19
eprint_status: archive
userid: 7
dir: disk0/00/00/05/62
datestamp: 2011-07-27 08:54:00
lastmod: 2011-08-05 13:56:12
status_changed: 2011-07-27 08:54:00
type: conference_item
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: Stabilizing receding horizon control of piecewise linear systems: An LMI approach
ispublished: pub
subjects: QA75
subjects: TJ
divisions: EIC
full_text_status: none
pres_type: paper
abstract: Receding horizon control has recently been used for regulating discrete-time Piecewise Affine (PWA) systems. One of the obstructions for implementation consists in guaranteeing closed-loop stability a priori. This is an issue that has only been addressed marginally in the literature. In this paper we present an extension of the terminal cost method for guaranteeing stability in receding horizon control to the class of unconstrained Piecewise Linear (PWL) systems. A linear matrix inequalities set-up is developed to calculate the terminal weight matrix and the auxiliary feedback gains that ensure stability for quadratic cost based receding horizon control. It is shown that the PWL statefeedback control law employed in the stability proof globally asymptotically stabilizes the origin of the PWL system. The additional conditions needed to extend these results to constrained PWA systems are also pointed out. The implementation of the proposed method is illustrated by an example.
date: 2004-07
date_type: published
publication: 16th Int. Symp. Mathematical Theory of Networks and Systems
publisher: Katholieke Universiteit Leuven, Belgium
place_of_pub: July 5-9, 2004
event_title: 16th Symposium on Mathematical Theory of Networks and Systems
event_location: Leuven, Belgium
event_dates: July 5-9, 2004
event_type: conference
refereed: TRUE
book_title: 16th Symposium on Mathematical Theory of Networks and Systems
related_url_url: http://www.cs.ele.tue.nl/MLazar/MTNSpaper.pdf
related_url_type: author
funders: This work has been financially sponsored by the Dutch Science Foundation (STW), Grant “Model Predictive Control for Hybrid Systems” (DMR.5675).
citation:   Lazar, Mircea and Heemels, W.P.M.H. and Weiland, Siep and Bemporad, Alberto  Stabilizing receding horizon control of piecewise linear systems: An LMI approach.  In: 16th Symposium on Mathematical Theory of Networks and Systems, July 5-9, 2004, Leuven, Belgium         (2004)