%0 Book Section
%A Bemporad, Alberto
%A Borrelli, Francesco
%A Morari, Manfred
%B American Control Conference
%C Chicago, 28-30 June 2000 
%D 2000
%F eprints:568
%I IEEE
%K discrete-time systems; hybrid systems; integer programming; linear programming; minimization; model predictive control; piecewise linear optimal control; robust control; continuous time systems; control system synthesis; discrete time systems; integer programming; linear programming; optimal control; predictive control; robust control
%P 1190-1194
%T Piecewise linear optimal controllers for hybrid systems
%U http://eprints.imtlucca.it/568/
%V 2
%X We propose a procedure for synthesizing piecewise linear optimal controllers for discrete-time hybrid systems. A stabilizing controller is obtained by designing a model predictive controller, which is based on the minimization of a weighted l1/∞-norm of the tracking error and the input trajectories over a finite horizon. The control law is obtained by solving a multiparametric mixed-integer linear program, which avoids solving mixed-integer programs online. As the resulting control law is piecewise affine, online computation is drastically reduced to a simple linear function evaluation