基于LMI的不确定广义系统鲁棒无源化  

Passification for uncertain descriptor systems based on LMI

作　　者：李琴[1] 张庆灵[1] 

机构地区：[1]东北大学系统科学研究所,辽宁沈阳110004

出　　处：《系统工程与电子技术》2007年第3期422-426,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(60574011);辽宁省普通高校学科带头人基金(124210);辽宁省科技基金(2001401041)资助课题

摘　　要：针对具有不确定性且为线性分式形式的广义系统,考虑其严格无源化问题。利用严格线性矩阵不等式,首先给出了系统广义二次稳定且严格无源的充要条件,然后分别讨论了利用串级补偿和前馈补偿的方法使得系统广义二次稳定且严格无源的充要条件,同时给出了相应的补偿器设计方法.最后举例说明补偿的方法。The problem of strict passification is addressed for descriptor systems subjected to a class of parameter uncertainty which can be expressed in a linear fraction form. By means of strict LMI, a sufficient and necessary condition is first presented for the system to be generalized quadratically stable（GQS） and strictly passifiable（SP）. Then the sufficient and necessary conditions are obtained for the uncertain system to be GQS and SP in the case of series compensation and feedforward compensation, moreover, the compensators are designed. Finally, one numerical example is applied to illustrate the validity of the proposed methods.

关 键 词：不确定广义系统 鲁棒 广义二次稳定 线性矩阵不等式 补偿 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]