不满足匹配条件的不确定广义系统的鲁棒镇定  

Robust stabilization for singular systems with mismatched uncertainties

作　　者：王其红[1] 

机构地区：[1]常州信息职业技术学院自动控制工程系,江苏常州213164

出　　处：《江苏大学学报（自然科学版）》2007年第4期336-339,共4页Journal of Jiangsu University：Natural Science Edition

基　　金：江苏高校自然科学计划项目(04KJD120016)

摘　　要：研究了不确定连续线性广义系统的鲁棒稳定和鲁棒镇定问题,针对不确定是模有界、时不变且可不满足匹配条件的不确定连续线性广义系统,应用线性矩阵不等式(LM I)方法得到了不确定连续线性广义系统鲁棒稳定性的充分条件和不确定连续线性广义系统鲁棒镇定的充分条件,它们是一组线性矩阵不等式;在此基础上,给出了状态反馈鲁棒控制器的设计方法;最后举例说明了该方法的应用.For a class of continuous-time singular linear systems with norm bounded time-unvarying and mismatched parameter uncertainties, the problems of robust stability and robust stabilization are considered. Sufficient conditions for the existence of robust stability and robust stabilization are derived via linear matrix inequalities （LMI） approach, which are a group of linear matrix inequalities （LMIs）. Based on that, the design method of the state feedback robust controller is given. Finally, a numerical example is provided to demonstrate the application of the proposed method.

关 键 词：不确定广义系统 鲁棒稳定性 鲁棒镇定 线性矩阵不等式 状态反馈鲁棒控制器 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]