eprintid: 524
rev_number: 8
eprint_status: archive
userid: 7
dir: disk0/00/00/05/24
datestamp: 2011-07-27 09:07:45
lastmod: 2011-08-04 07:29:09
status_changed: 2011-07-27 09:07:45
type: book_section
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
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: On the optimal control law for linear discrete time hybrid systems
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
abstract: In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise afine feedback control law. Then, we give an insight into the structure of the optimal state-feedback solution and of the value function. Finally, we briefly describe how the optimal control law can be computed by means of multiparametric programming. 
date: 2002
date_type: published
publication: Hybrid Systems: Computation and Control
volume: 2289
publisher: Springer-Verlag
pagerange: 105-119
id_number: 10.1007/3-540-45873-5_11
refereed: TRUE
isbn: 978-3-540-43321-7
book_title: Hybrid Systems: Computation and Control
official_url: http://dx.doi.org/10.1007/3-540-45873-5_11
citation:   Bemporad, Alberto and Borrelli, Francesco and Morari, Manfred  On the optimal control law for linear discrete time hybrid systems.   In:  Hybrid Systems: Computation and Control.   Springer-Verlag, pp. 105-119.  ISBN 978-3-540-43321-7      (2002)