Authors: Patino, D.; Riedinger, P.; Iung, C.

Source: International Journal of Control, Volume 82, Number 7, July 2009 , pp. 1357-1376(20)

Publisher: Taylor and Francis Ltd

Abstract:

In this article, a method for computing an optimal state feedback control law for continuous-time switched affine systems exhibiting cyclic behaviour in steady state is presented. The hybrid solutions are deduced from the Fillipov solutions. It is shown that the optimal trajectory synthesis implies to determine singular arcs. Algebraic conditions are given to obtain these particular arcs of the trajectory. A numerical procedure is then proposed to generate optimal trajectories on a given state space area avoiding the classical two-point boundary value problem occurring in optimal control synthesis. The interpolation of the solutions set, through a neural network, yields a state feedback control law. Several examples in the power converters field show the feasibility and the efficiency of the method.

Keywords: optimal control; singular control; state feedback; switched affine systems; neural network; power converters

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170802563280

Affiliations: 1: Centre de Recherche en Automatique de Nancy (CRAN), Nancy University, France

Publication date: 2009-07-01

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