Optimal control of switched systems and its parallel optimization algorithm

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:261

Article

Zhai, Jingang^1,3  Shen, Bangyu²  Gao, Jinggui³  Feng, Enmin³  Yin, Hongchao⁴ 

[1] Ludong Univ, Sch Math & Informat, Yantai 264025, Shandong, Peoples R China

[2] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Jiangsu, Peoples R China

[3] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China

[4] Dalian Univ Technol, Sch Energy & Power Engn, Dalian 116024, Liaoning, Peoples R China

关键词: Switched systems;    Optimal switching control;    Optimal control;    Parallel algorithm;    Nonlinear hybrid system;   

DOI  :  10.1016/j.cam.2013.11.011

来源: Elsevier

【 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.

【 授权许可】

Free