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control parameterization enhancing transform for optimal control of switched systems

MATHEMATICAL AND COMPUTER MODELLING 2006年第11-12期43卷 1393-1403页

作者： Li, R. Teo, K. L. Wong, K. H. Duan, G. R. Curtin Univ Technol Dept Math & Stat Perth WA 6845 Australia Univ Witwatersrand Dept Computat & Appl Math Johannesburg South Africa Harbin Inst Technol Ctr Control Theory & Guidance Technol Harbin Peoples R China

In this paper, a class of optimal switching control problems with prespecified order of the sequence of subsystems is considered, where the switching instants are included in the cost functional. Both the switching instants and the control function are to be chosen such that the cost functional is minimized. Through the discretization of the control space, each control component is approximated by a piecewise constant function. The partition points and the heights of each of these piecewise constant functions are taken as decision varibles. Using the control parameterization enhancing transform, we map both types of switching instants into preassigned knot points via the introduction of an additional control, known as the enhancing control. In this way, we construct a sequence of approximate optimal parameter selection problems with fixed switching time points. We then show that these approximate optimal parameter selection problems are solvable as mathematical programming problems. The convergence analysis of this approximation is investigated. Two examples are solved using the proposed method so as to demonstrate the effectiveness of the method proposed. (c) 2005 Elsevier Ltd. All rights reserved.

关键词： switched systems optimal control computation control parameterization control parameterization enhancing transform

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control parametrization enhancing transform to optimal control problems

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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2005年第5-7期63卷 E2223-E2236页

作者： Teo, K. L. Curtin Univ Technol Dept Math & Stat Perth WA Australia

In this paper, we consider a class of constrained optimal control problems subject to canonical constraints. The control parametrization enhancing transform can be used together with the control parametrization technique to develop an efficient computational method for solving this class of optimal control problem. The purpose of this paper is to present this computational method as well as the supporting convergence analysis in a mathematically rigorous manner. (C) 2005 Elsevier Ltd. All rights reserved.

关键词： Optimal control computation control parameterization enhancing transform Computational algorithm

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