eprintid: 455
rev_number: 15
eprint_status: archive
userid: 7
dir: disk0/00/00/04/55
datestamp: 2011-07-27 08:40:46
lastmod: 2011-08-05 13:23:15
status_changed: 2011-07-27 08:40:46
type: article
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Seatzu, Carla
creators_name: Corona, Daniele
creators_name: Giua, Alessandro
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: Optimal control of continuous-time switched affine systems
ispublished: pub
subjects: QA75
subjects: TA
divisions: CSA
full_text_status: none
keywords: continuous-time switched affine system; dynamic programming; infinite time horizon; optimal control; performance index; state feedback control; switched piecewise affine autonomous system; continuous time systems; dynamic programming; infinite horizon; optimal control; performance index; state feedback; state-space methods; time-varying systems
abstract: This paper deals with optimal control of switched piecewise affine 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, and that the decision variables are the switching instants and the sequence of operating modes. We present two different approaches for solving such an optimal control problem. The first approach iterates between a procedure that finds an optimal switching sequence of modes, and a procedure that finds the optimal switching instants. The second approach is inspired by dynamic programming and identifies the regions of the state space where an optimal mode switch should occur, therefore providing a state feedback control law.
date: 2006-05
date_type: published
publication: IEEE Transactions on Automatic Control 
volume: 51
number: 5
publisher: IEEE 
pagerange: 726-741
id_number: 10.1109/TAC.2006.875053
refereed: TRUE
issn: 0018-9286
related_url_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1632302&isnumber=34231
citation:   Seatzu, Carla and Corona, Daniele and Giua, Alessandro and Bemporad, Alberto  Optimal control of continuous-time switched affine systems.  IEEE Transactions on Automatic Control , 51 (5).  pp. 726-741.  ISSN 0018-9286      (2006)