Optimal control of switching systems

被引：298

作者：

Bengea, SC ^{[1
]}

DeCarlo, RA ^{[1
]}

机构：

[1] Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA

来源：

AUTOMATICA | 2005年 / 41卷 / 01期

关键词：

switched system; switching control; hybrid control; optimal control; Maximum Principle; Chattering Lemma;

D O I：

10.1016/j.automatica.2004.08.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers an optimal control problem for a switching system. For solving this problem we do not make any assumptions about the number of switches nor about the mode sequence, they are determined by the solution of the problem. The switching system Is embedded into a larger family of systems and the optimization problem is formulated for the latter. It is shown that the set of trajectories of the switching system is dense in the set of trajectories of the embedded system. The relationship between the two sets of trajectories (1) motivates the shift of focus from the original problem to the more general one and (2) underlies the engineering relevance of the study of the second problem. Sufficient and necessary conditions for optimality are formulated for the second optimization problem. If they exist, bang-bang-type solutions of the embedded optimal control problem are solutions of the original problem. otherwise. suboptimal solutions are obtained via the Chattering Lemma. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：11 / 27

页数：17

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