Optimal control of a class of hybrid systems

被引：1
作者：
机构：
[1] School of Management, University of Shanghai for Science and Technology
[2] School of Mathematics and Physics, Shanghai University of Electric Power
来源：
Li, L.-H. (dlxyllh2004@163.com) | 1600年 / South China University of Technology卷 / 30期
关键词：
Frechet differential; Hybrid system; Necessary optimality condition; Optimal control;
D O I：
10.7641/CTA.2013.11207
中图分类号：
学科分类号：
摘要：
An optimal control problem is investigated for a class of hybrid systems, where the impulsive instants are state-dependent. Instead of relying on the usual technique of variational approach, necessary optimality conditions of this hybrid system are obtained by parameterizing the impulsive instants. Then, the optimal control problem is transformed to a boundary value problem, which can be solved by numerical method or analytic method. Moreover, taking advantage of the theory of generalized differential, necessary optimality conditions are extended to Frechet differential form. It is shown that, at the continuous part of this hybrid dynamic system, the necessary optimality conditions have the same form as traditional continuous system. At the impulsive points of this system, the Hamiltonian function is continuous and the adjoint variable satisfies certain condition. Finally, two examples are presented to illustrate validity of the methods.
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页码：891 / 897
页数：6
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