%0 Book Section
%A Bemporad, Alberto
%B Decision and Control Conference
%C Maui, Hawaii USA, December 2003
%D 2003
%F eprints:560
%I IEEE
%K cost function; nonlinear integer programming; optimal control; optimization variables; state vector; integer programming; nonlinear programming; optimal control; quantisation (signal)
%P 3167-3172
%T Multiparametric nonlinear integer programming and explicit quantized optimal control
%U http://eprints.imtlucca.it/560/
%V 3
%X 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.