一类脉冲切换系统的最优控制  

Optimal control for a class of impulsive and switching systems

作　　者：李丽花[1,2] 高岩[1] 

机构地区：[1]上海理工大学管理学院,上海200093 [2]上海电力学院数理学院,上海200433

出　　处：《控制与决策》2014年第1期94-98,共5页Control and Decision

基　　金：国家自然科学基金项目(11171221;61203006);高等学校博士学科专项科研基金项目(20123120110004);上海市教委项目(11YZ193)

摘　　要：研究一类脉冲依赖于状态的脉冲切换系统的最优控制问题.考虑了目标函数的两种情况:当目标函数光滑时,通过将跳跃瞬间转化为一个新的待优化参数,得到了该脉冲切换系统的必要最优性条件;当目标函数不光滑时,利用非光滑分析的知识,得到了广义微分形式的必要最优性条件.算例分析验证了所提出方法的有效性.Optimal control problems are investigated for a class of impulsive and switching systems, where the transitions are state-dependent. Two kinds of situations for the cost function are considered. When the cost function is smooth, by parameterizing the jumping instants as a new parameter to be optimized, the necessary optimality conditions of the hybrid systems are obtained. When the cost functional is nonsmooth, necessary optimality conditions of the generalized differential form are presented by the knowledge of nonsmooth analysis. An example is given to illustrate the effectiveness of the proposed method.

关 键 词：最优控制 脉冲切换系统 状态依赖 

分 类 号：O231.2[理学—运筹学与控制论]