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论文类型：期刊论文
发表时间：2014-05-01
发表刊物：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
收录刊物：SCIE、EI、Scopus
卷号：261
页面范围：287-298
ISSN号：0377-0427
关键字：Switched systems; Optimal switching control; Optimal control; Parallel algorithm; Nonlinear hybrid system
摘要：In this paper, a class of optimal switching control problems is considered in which the mode sequence of active subsystems and the number of mode switchings are not pre-specified, and both the switching sequence and the control inputs are to be chosen such that the cost functional is minimized. For solving this problem, we discuss the necessary conditions for optimality and the construction method for suboptimal solutions, and develop a few sufficient conditions of judgment on the optimal or suboptimal solutions of the switched system. According to the sufficient conditions, a parallel computational algorithm is constructed to find optimal or suboptimal solutions. For illustration, two examples are solved using the proposed algorithm. (C) 2013 Elsevier B.V. All rights reserved.