OPTIMAL CONTROL OF PIECEWISE AFFINE SYSTEMS WITH PIECEWISE AFFINE STATE FEEDBACK

被引：5
|
作者：
Wu, Changzhi [1 ,2 ]
Teo, Kok Lay [2 ]
Rehbock, Volker [2 ]
机构：
[1] Chongqing Normal Univ Shapingba, Dept Math, Chongqing 400047, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6002, Australia
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2009年 / 5卷 / 04期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
Piecewise affine system; State feedback; Optimal control;
D O I：
10.3934/jimo.2009.5.737
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider a class of optimal control problems involving piecewise affine (PWA) systems with piecewise affine state feedback. We first show that if the piecewise affine state feedback control is assumed to be continuous at the switching boundaries, then the number of switching amongst PWA systems is finite. On this basis, this optimal control problem is transformed into a discrete valued optimal control problem. For this discrete valued optimal control problem, we introduce the time scaling transform to convert it into an equivalent constrained optimal parameter selection problem, for which it can be solved by existing optimal control techniques for optimal parameter selection problems. A numerical example is solved so as to illustrate the proposed method.
引用
收藏
页码：737 / 747
页数：11
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