%B Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference
%E Sebastian  Engell
%E Herve  Gueguen
%E Janan  Zaytoon
%I Elsevier
%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.
%T Optimal state-feedback quadratic regulation of linear hybrid automata
%P 369-378
%K hybrid systems; switched systems; hybrid automata; optimal control
%A Alberto Bemporad
%A Daniele Corona
%A Alessandro Giua
%A Carla Seatzu
%L eprints553
%J IFAC Conf. on Analysis and Design of Hybrid Systems
%D 2003