Sufficient Optimality Conditions for Impulsive and Switching Optimal Control Problems

被引：0
|
作者：
Li Lihua [1 ]
Gao Yan [2 ]
机构：
[1] Shanghai Univ Elect Power, Sch Math & Phys, Shanghai 200090, Peoples R China
[2] Univ Shanghai Sci & Technol, Sch Management, Shanghai 200093, Peoples R China
来源：
2015 34TH CHINESE CONTROL CONFERENCE (CCC) | 2015年
关键词：
Sufficient optimality condition; Impulsive and Switching systems; Riccati matrix equation; SYSTEMS; CONSTRAINTS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, sufficient optimality conditions are given for a class of impulsive and switching optimal control problems. By parameterizing the length of every subinterval between two jumping instants, we transform the hybrid optimal control problem into an equivalent augmented problem. Sufficient optimality conditions for the hybrid optimal control problem are obtained by using classical sufficient optimality conditions to the augment problem. It is shown that sufficient optimality conditions can be verified by checking the Legendre-Clebsch condition and solving some Riccati matrix equations with certain boundary and jump conditions.
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页码：2418 / 2421
页数：4
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