严格正实广义系统的鲁棒性分析与输出反馈控制  

Robustness analysis and output feedback control for strictly positive real descriptor systems

作　　者：李秀英[1] 邢伟[2] 张庆灵[2] 

机构地区：[1]通化师范学院数学系,吉林通化134002 [2]东北大学理学院,辽宁沈阳110004

出　　处：《东北师大学报（自然科学版）》2007年第4期33-37,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：辽宁省自然科学基金资助项目(2001401041);辽宁省骨干教师基金资助项目

摘　　要：讨论了一类广义系统的鲁棒严格正实分析与综合问题,其中各个不确定参数矩阵具有线性分式形式.基于线性矩阵不等式,给出了这类系统对所有容许不确定性扩展严格正实的条件,并设计动态输出反馈控制器,使闭环系统容许且扩展严格正实.结果表明,这一问题可以转化为确定广义系统的正实控制问题.The positive real analysis and synthesis problem for a class of uncertain singular systems are considered.The uncertainties are expressed in a linear fractional form.A linear matrix inequality（LMI）-based analysis condition under which the uncertain singular system is extended strictly positive real for all admissible uncertainties is characterized.A dynamic output-feedback controller is designed such that the resulting colsed-loop system is admissible and extended strictly positive real for all admissible uncertainties.It has been established that the problems above can be cast into a class of extended strictly positive real control problems with scaling parameters without uncertainties.

关 键 词：广义系统 不确定性 扩展严格正实(ESPR) 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]