控制理论与应用2013，Vol.30Issue(7)：891-897,7.DOI:10.7641/CTA.2013.11207
一类混杂系统的最优控制
Optimal control of a class of hybrid systems
摘要
Abstract
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.关键词
最优控制/混杂系统/必要最优性条件/Frechet微分Key words
optimal control/ hybrid system/ necessary optimality condition/ Frechet differential分类
信息技术与安全科学引用本文复制引用
李丽花,高岩,杨建芳..一类混杂系统的最优控制[J].控制理论与应用,2013,30(7):891-897,7.基金项目
This work was supported by the National Science Foundation of China (Nos.11171221,6120300),the Science and Technology Commission of Shanghai Municipality (No.10550500800),the Shanghai Leading Academic Discipline (No.XTKX2012),and the Shanghai Graduate Innovation Project (No.5413303101). （Nos.11171221,6120300）
