模糊广义系统的稳定性分析与控制器设计  

Stability Analysis and Controller Design of Fuzzy Descriptor Systems

作　　者：时晓岩[1] 高志伟[1] 

机构地区：[1]天津大学电气工程与自动化学院,天津300072

出　　处：《天津大学学报（自然科学与工程技术版）》2004年第9期806-809,共4页Journal of Tianjin University：Science and Technology

摘　　要：为了研究公共矩阵X的求解,讨论了模糊广义系统二次稳定性问题,得出了一个使系统二次稳定的公共矩阵X存在的必要条件,通过该必要条件可以预先判断公共矩阵X是否存在,从而减少在判断模糊广义系统二次稳定性时的计算量,在此基础上给出了模糊状态反馈控制器及观测器的设计方法,并进行了稳定性和收敛性分析,最后以数值例子论证了该方法的可行性.The quadratic stability of fuzzy descriptor systems is investigated in order to resolve common matix X. Several necessary conditions are presented for the existence of a common matrix X enabling the system to be properly stable. The computing burden in determining the quadratic stability is reduced via the present neces-(sary) conditions. Base on these necessary conditions, the design problems of state feedback controllers and state observers are further discussed. A numerical example is given to illustrate the applicability of the proposed approaches.

关 键 词：模糊广义系统 状态反馈 状态观测器 李雅普诺夫稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]