随机中立型时滞系统的广义H_2控制  

Generalized H_2 control of stochastic neutral timedelay systems

作　　者：周磊[1,2] 肖小庆[2] 

机构地区：[1]华东师范大学,数学系上海200062 [2]南通大学理学院,江苏南通226007

出　　处：《兰州理工大学学报》2008年第6期162-165,共4页Journal of Lanzhou University of Technology

基　　金：江苏省自然科学基金(BK2007061);江苏省六大人才高峰项目(06-E-029);南通市应用研究计划项目(K2007002)

摘　　要：考虑一类随机中立型时滞系统的广义H2控制问题.利用Lyapunov方法和线性矩阵不等式,得到状态反馈控制器存在的充分条件,保证闭环系统均方渐近稳定.同时给出随机中立型时滞系统广义H2控制器的设计方法.数值例子的仿真结果验证所得方法的有效性.A class of generalized Hz control problem of stochastic neutral time-delay systems was taken into consideration. Applying the Lyapunov method and linear matrix inequality （LMI） technique, a sufficient condition for the existence of the state feedback controller was obtained, which ensured the meansquare asymptotic stability of the closed loop system. Meantime, the design method of generalized H2 controller for stochastic neutral time-delay systems was given. A numerical simulation showed that the pro- posed method was valid.

关 键 词：广义H2控制 均方渐近稳定 随机中立型 状态反馈 线性矩阵不等式(LMI) 

分 类 号：O231.3[理学—运筹学与控制论]