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Multiparametric nonlinear integer programming and explicit quantized optimal control

Bemporad, Alberto Multiparametric nonlinear integer programming and explicit quantized optimal control. In: Decision and Control Conference. IEEE, Maui, Hawaii USA, December 2003, pp. 3167-3172. ISBN 0-7803-7924-1 (2003)

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This paper deals with multiparametric nonlinear integer programming problems where the optimization variables belong to a finite set and where the cost function and the constraints depend in an arbitrary nonlinear fashion on the optimization variables and in a linear fashion on the parameters. We examine the main theoretical properties of the optimizer and of the optimum as a function of the parameters, and propose a solution algorithm. The methodology is employed to investigate properties of quantized optimal control laws and optimal performance, and to obtain their explicit representation as a function of the state vector.

Item Type: Book Section
Identification Number: 10.1109/CDC.2003.1273110
Uncontrolled Keywords: cost function; nonlinear integer programming; optimal control; optimization variables; state vector; integer programming; nonlinear programming; optimal control; quantisation (signal)
Subjects: Q Science > QA Mathematics
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 09:02
Last Modified: 04 Aug 2011 07:29
URI: http://eprints.imtlucca.it/id/eprint/560

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