eprintid: 553 rev_number: 8 eprint_status: archive userid: 7 dir: disk0/00/00/05/53 datestamp: 2011-07-27 09:04:02 lastmod: 2011-08-04 07:29:08 status_changed: 2011-07-27 09:04:02 type: book_section metadata_visibility: show contact_email: alberto.bemporad@imtlucca.it item_issues_count: 0 creators_name: Bemporad, Alberto creators_name: Corona, Daniele creators_name: Giua, Alessandro creators_name: Seatzu, Carla creators_id: alberto.bemporad@imtlucca.it creators_id: creators_id: creators_id: title: Optimal state-feedback quadratic regulation of linear hybrid automata ispublished: pub subjects: QA75 subjects: TJ divisions: CSA full_text_status: none keywords: hybrid systems; switched systems; hybrid automata; optimal control abstract: For linear hybrid automata, namely switched linear autonomous systems whose mode of operation is determined by a controlled automaton, in this paper we face the problem of optimal control, where the objective is to minimize a quadratic performance index over an infinite time horizon. The quantities to be optimized are the sequence of switching times and the sequence of modes (or ”locations”), under the following constraints: the sequence of modes has a finite length; the discrete dynamics of the automaton restricts the possible switches from a given location to the next location, with a cost associated to each switch; the time interval between two consecutive switching times is greater than a fixed quantity. We show how a state-feedback solution can be computed off-line through a numerical procedure. date: 2003 publication: IFAC Conf. on Analysis and Design of Hybrid Systems publisher: Elsevier pagerange: 369-378 event_dates: Saint Malo, France refereed: TRUE isbn: 0-08-044094-0 book_title: Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference editors_name: Engell, Sebastian editors_name: Gueguen, Herve editors_name: Zaytoon, Janan related_url_url: http://www.diee.unica.it/giua/PAPERS/CONF/03adhs.pdf related_url_type: author citation: Bemporad, Alberto and Corona, Daniele and Giua, Alessandro and Seatzu, Carla Optimal state-feedback quadratic regulation of linear hybrid automata. In: Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference. Elsevier, pp. 369-378. ISBN 0-08-044094-0 (2003)