eprintid: 568
rev_number: 10
eprint_status: archive
userid: 7
dir: disk0/00/00/05/68
datestamp: 2011-07-27 09:11:21
lastmod: 2014-07-17 12:17:38
status_changed: 2011-07-27 09:11:21
type: book_section
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Borrelli, Francesco
creators_name: Morari, Manfred
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
creators_id: 
title: Piecewise linear optimal controllers for hybrid systems
ispublished: pub
subjects: QA
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: discrete-time systems; hybrid systems; integer programming; linear programming; minimization; model predictive control; piecewise linear optimal control; robust control; continuous time systems; control system synthesis; discrete time systems; integer programming; linear programming; optimal control; predictive control; robust control
abstract: We propose a procedure for synthesizing piecewise linear optimal controllers for discrete-time hybrid systems. A stabilizing controller is obtained by designing a model predictive controller, which is based on the minimization of a weighted l1/∞-norm of the tracking error and the input trajectories over a finite horizon. The control law is obtained by solving a multiparametric mixed-integer linear program, which avoids solving mixed-integer programs online. As the resulting control law is piecewise affine, online computation is drastically reduced to a simple linear function evaluation
date: 2000
date_type: published
publication: American Control Conference
volume: 2
publisher: IEEE
place_of_pub: Chicago, 28-30 June 2000 
pagerange: 1190-1194
event_dates: Chicago, IL
id_number: 10.1109/ACC.2000.876688
refereed: TRUE
isbn: 0-7803-5519-9 
book_title: American Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=876688&isnumber=18973
citation:   Bemporad, Alberto and Borrelli, Francesco and Morari, Manfred  Piecewise linear optimal controllers for hybrid systems.   In:  American Control Conference.   IEEE, Chicago, 28-30 June 2000 , pp. 1190-1194.  ISBN 0-7803-5519-9       (2000)