一类不确定离散切换广义系统的二次保性能控制  

Quadratic Guaranteed Cost Control of a Class of Uncertain Discrete-time Switched Descriptor Systems

作　　者：张凤蕊[1] 李壮辉[1] 顾则全 

机构地区：[1]南阳理工学院电子与电气工程系,河南南阳473004 [2]中科软科技股份有限公司信息工程本部,北京100190

出　　处：《四川师范大学学报（自然科学版）》2012年第4期490-494,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10671011);北京市教委重点学科共建项目(00002268)资助项目

摘　　要：针对一类具有范数有界时变参数不确定性的线性切换广义系统,研究了其在任意切换策略下的二次稳定保性能状态反馈控制器的设计问题.结合一个二次型性能指标,利用Lyapunov稳定性理论和线性矩阵不等式技术,给出了此类离散切换广义系统的保性能控制器存在的一个充分条件,使得闭环切换广义系统是二次稳定的,且闭环性能指标值不超过某个确定上界.给出的保性能控制器存在的充分条件可以通过Matlab的LMI工具箱求解,适合在工程中应用.数值仿真例子说明了该方法的有效性.For a class of switched descriptor systems with norm-bounded and time-varying parameter uncertainties,the problem of designing state feedback controller of quadratic stability guaranteed cost under arbitrary switching conditions is studied.Based on the techniques of Lyapunov functional stability theory and linear matrix inequality,a sufficient condition of existence of the guaranteed cost controllers is derived together with a quadratic performance index,which makes the closed-loop switched generalized system quadratically stable and closed-loop performance index to be less than a certain maximum of the range.This condition can be solved easily with Matlab LMI toolbox,and suitable to be applied for engineers.The validity of this approach has been verified by numerical simulation examples.

关 键 词：切换广义系统 不确定性 二次稳定性 保性能控制 线性矩阵不等式 

分 类 号：O175.13[理学—数学] TP273[理学—基础数学]