不确定离散广义时滞系统的静态输出反馈控制  

Static output feedback control of uncertain discrete singular time-delay systems

作　　者：王翠红[1] 黄天民[1] 邹丽[2] 

机构地区：[1]西南交通大学电气工程学院,四川成都610031 [2]辽宁师范大学计算机与信息技术学院,辽宁大连116029

出　　处：《系统工程与电子技术》2008年第8期1545-1548,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金资助课题(60603047)

摘　　要：针对一类不确定离散时滞广义系统,给出了静态输出反馈控制器的设计方法。首先基于标称离散广义时滞系统的稳定条件,以受限线性矩阵不等式形式,得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件,同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法;然后采用矩阵的正交补,把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解;最后的数值实例说明了所给方法的有效性和正确性。The problem of static output feedback stabilization for a class of uncertain discrete singular time- delay systems is investigated. Firstly, based on the stability criterion for the nominal discrete singular time-de- lay system, a sufficient condition for the existence of the static output feedback controller in terms of linear ma- trix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is de- signed by the feasible solution of the linear matrix inequality with linear matrix equality constraint. Then by using matrix orthogonal complement, the linear matrix inequality with linear matrix equality constraints as a strict LMI without constraints is further formulated. Finally, a numerical example is presented to show the ef- fectiveness of the proposed method.

关 键 词：广义系统 静态输出反馈 线性矩阵不等式(LMI) 时滞 离散 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]