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On the optimal control law for linear discrete time hybrid systems

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)

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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.

Item Type: Book Section
Identification Number: 10.1007/3-540-45873-5_11
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 09:07
Last Modified: 04 Aug 2011 07:29
URI: http://eprints.imtlucca.it/id/eprint/524

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