%0 Book Section
%A Bemporad, Alberto
%A Corona, Daniele
%A Giua, Alessandro
%A Seatzu, Carla
%B Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference
%D 2003
%E Engell, Sebastian 
%E Gueguen, Herve 
%E Zaytoon, Janan 
%F eprints:553
%I Elsevier
%K hybrid systems; switched systems; hybrid automata; optimal control
%P 369-378
%T Optimal state-feedback quadratic regulation of linear hybrid automata
%U http://eprints.imtlucca.it/553/
%X 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.