eprintid: 549
rev_number: 11
eprint_status: archive
userid: 7
dir: disk0/00/00/05/49
datestamp: 2011-07-27 09:05:38
lastmod: 2014-07-17 12:50:41
status_changed: 2011-07-27 09:05:38
type: book_section
metadata_visibility: show
item_issues_count: 0
creators_name: Bemporad, Alberto
creators_name: Giua, Alessandro
creators_name: Seatzu, Carla
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
creators_id: 
title: Synthesis of state-feedback optimal controllers for switched linear systems
ispublished: pub
subjects: QA
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: continuous-time switched linear systems; infinite time horizon; state feedback; state space; state-feedback optimal controllers; switched piecewise linear autonomous systems; computational complexity; continuous time systems; control system synthesis; optimal control; optimisation; state feedback; time-varying systems
abstract: The paper deals with the optimal control of switched piecewise linear autonomous systems, where the objective is to minimize a performance index over an infinite time horizon. We assume that the switching sequence has a finite length: the unknown switching times and the switching sequence are the optimization parameters. We also assume that a cost may be associated to each switch. The optimal control for this class of systems takes the form of a state feedback, i.e., it is possible to identify a set of regions of the state space such that an optimal switch should occur if and only if the present state belongs to one of them. We show how the tables containing these regions can be computed off-line through a numerical procedure.
date: 2002-12
date_type: published
publication: Proc. 41th IEEE Conf. on Decision and Control
volume: 3
publisher: IEEE
place_of_pub: Las Vegas, Nevada USA, December 2002
pagerange: 3182-3187
id_number: 10.1109/CDC.2002.1184360
refereed: TRUE
isbn: 0-7803-7516-5 
book_title: Decision and Control Conference
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1184360&isnumber=26568
citation:   Bemporad, Alberto and Giua, Alessandro and Seatzu, Carla  Synthesis of state-feedback optimal controllers for switched linear systems.   In:  Decision and Control Conference.   IEEE, Las Vegas, Nevada USA, December 2002, pp. 3182-3187.  ISBN 0-7803-7516-5       (2002)