relation: http://eprints.imtlucca.it/553/
title: Optimal state-feedback quadratic regulation of linear hybrid automata
creator: Bemporad, Alberto
creator: Corona, Daniele
creator: Giua, Alessandro
creator: Seatzu, Carla
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: 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.
publisher: Elsevier
contributor: Engell, Sebastian 
contributor: Gueguen, Herve 
contributor: Zaytoon, Janan 
date: 2003
type: Book Section
type: PeerReviewed
identifier:   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)