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Dynamic programming for constrained optimal control of discrete-time linear hybrid systems

Borrelli, Francesco and Baotic, Mato and Bemporad, Alberto and Morari, Manfred Dynamic programming for constrained optimal control of discrete-time linear hybrid systems. Automatica, 41 (10). pp. 1709-1721. ISSN 0005-1098 (2005)

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Abstract

In this paper we study the solution to optimal control problems for constrained discrete-time linear hybrid systems based on quadratic or linear performance criteria. The aim of the paper is twofold. First, we give basic theoretical results on the structure of the optimal state-feedback solution and of the value function. Second, we describe how the state-feedback optimal control law can be constructed by combining multiparametric programming and dynamic programming.

Item Type: Article
Identification Number: https://doi.org/10.1016/j.automatica.2005.04.017
Uncontrolled Keywords: Hybrid systems; Piecewise affine systems; Optimal control; Dynamic programming; Multiparametric programming
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 08:45
Last Modified: 05 Aug 2011 13:46
URI: http://eprints.imtlucca.it/id/eprint/452

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