relation: http://eprints.imtlucca.it/524/
title: On the optimal control law for linear discrete time hybrid systems
creator: Bemporad, Alberto
creator: Borrelli, Francesco
creator: Morari, Manfred
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise afine feedback control law. Then, we give an insight into the structure of the optimal state-feedback solution and of the value function. Finally, we briefly describe how the optimal control law can be computed by means of multiparametric programming. 
publisher: Springer-Verlag
date: 2002
type: Book Section
type: PeerReviewed
identifier:   Bemporad, Alberto and Borrelli, Francesco and Morari, Manfred  On the optimal control law for linear discrete time hybrid systems.   In:  Hybrid Systems: Computation and Control.   Springer-Verlag, pp. 105-119.  ISBN 978-3-540-43321-7      (2002)  
relation: http://dx.doi.org/10.1007/3-540-45873-5_11
relation: 10.1007/3-540-45873-5_11