一类不确定线性切换系统的满意控制  

Satisfactory Control for a Class of Uncertain Switched Linear Systems

作　　者：董学平[1] 苏瑜田[1] 

机构地区：[1]合肥工业大学电气与自动化工程学院,合肥230009

出　　处：《上海交通大学学报》2011年第8期1196-1201,共6页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目(60974022)

摘　　要：针对一般的不确定线性切换系统,设计了闭环具有H∞指标且子系统具有区域极点指标、反馈增益指标及协方差指标的状态反馈控制器.建立了切换系统满足4个指标的充分条件,运用线性矩阵不等式将具有4个指标的状态反馈控制器设计问题转化为一组线性矩阵不等式(LMI)的可行解问题,并借助MATLAB中LMI工具箱,求解得到满足要求的状态反馈控制器.最后通过数值仿真,验证了所提出设计方法的有效性.The problem of satisfactory control for a class of uncertain switched linear systems was studied.The state feedback controller with closed-loop H infinity index and every subsystem with circular pole index,feedback gain and steady variance was designed.A sufficient condition for the switched system with above four indices was obtained.Meanwhile,by linear matrix inequalities（LMI） approach,the design of state feedback controllers with above four indices was transformed into the feasible problem of some certain LMI.The state feedback controllers can be efficiently solved by means of Matlab LMI toolbox.Finally,a numerical example shows the validity of the proposed design method.

关 键 词：线性切换系统 满意控制 线性矩阵不等式 多指标 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]