不确定奇异系统的鲁棒严格无源和ISS（英文）  

Robust strict passivity and ISS for uncertain singular systems

作　　者：Kumsa Boka 刘伟[1] 汪志鸣[1] 

机构地区：[1]华东师范大学数学系,上海200241

出　　处：《应用数学与计算数学学报》2016年第1期165-180,共16页Communication on Applied Mathematics and Computation

基　　金：supported by the National Natural Science Foundation of China(11171113);the ECNU Reward for Excellent Doctoral Students in Academics(xrzz2014019);the Science and Technology Commission of Shanghai Municipality(13dz2260400);the Shanghai Key Laboratory of PMMP

摘　　要：研究了一类不确定性奇异系统的严格无源和ISS问题.利用线性矩阵不等式(LMI)方法,给出了系统严格无源和ISS的充分条件.当获取的线性矩阵不等式条件不能被满足时,考虑状态反馈问题,并设计有效的控制方法使系统达到相应的性能.最后,通过数值仿真例子验证了本文方法的有效性.This paper presents robust strict passivity and input-to-state stable （ISS） for uncertain singular systems. In order to establish the result, linear matrix inequality （LMI） is proposed under which the system is derived and proved to have robust strict passivity and ISS. In addition, the problem of designing robust state stabilization is addressed when the proposed LMI condition is not satisfied so that the closed-loop system is still proved to have robust strict passivity and ISS. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach.

关 键 词：奇异系统 ISS 线性矩阵不等式 不确定 不动点定理 

分 类 号：O231[理学—运筹学与控制论]