TY - CHAP Y1 - 2003/// ED - Engell, Sebastian ED - Gueguen, Herve ED - Zaytoon, Janan TI - Optimal state-feedback quadratic regulation of linear hybrid automata N2 - 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. A1 - Bemporad, Alberto A1 - Corona, Daniele A1 - Giua, Alessandro A1 - Seatzu, Carla ID - eprints553 KW - hybrid systems; switched systems; hybrid automata; optimal control UR - http://eprints.imtlucca.it/553/ PB - Elsevier EP - 378 T2 - Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference AV - none SN - 0-08-044094-0 SP - 369 ER -