relation: http://eprints.imtlucca.it/568/ title: Piecewise linear optimal controllers for hybrid systems creator: Bemporad, Alberto creator: Borrelli, Francesco creator: Morari, Manfred subject: QA Mathematics subject: QA75 Electronic computers. Computer science subject: TJ Mechanical engineering and machinery description: 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 publisher: IEEE date: 2000 type: Book Section type: PeerReviewed identifier: Bemporad, Alberto and Borrelli, Francesco and Morari, Manfred Piecewise linear optimal controllers for hybrid systems. In: American Control Conference. IEEE, Chicago, 28-30 June 2000 , pp. 1190-1194. ISBN 0-7803-5519-9 (2000) relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=876688&isnumber=18973 relation: 10.1109/ACC.2000.876688