基于观测器的时滞T-S模糊广义系统无源控制  

Observer-Based Passive Control for Delay of T-S Fuzzy Descriptor Systems

作　　者：朱宝彦[1] 刘爱斌[1] 赵恩良[1] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168

出　　处：《沈阳建筑大学学报（自然科学版）》2015年第2期377-384,共8页Journal of Shenyang Jianzhu University：Natural Science

基　　金：国家自然科学基金项目(61273003;61273008;61273011)

摘　　要：目的研究一类时滞T-S模糊广义系统基于观测器的无源控制问题.方法利用Lyapunov函数方法、矩阵缩放理论以及线性矩阵不等式(LMI)技术研究了时滞T-S模糊广义系统的无源控制.结果给出了基于观测器的无源控制器存在的充分条件已确保闭环系统是容许且严格无源的.把这个充分条件表示成了线性矩阵不等式形式,从而无源控制器的求解问题转化成解线性矩阵不等式.结论所提出的方法能很好地解决时滞和干扰情况下,T-S模糊广义系统的无源控制问题,数值算例说明了所提方法的有效性和可行性.This paper investigated the observer-based passive control problem for delay of T-S fuzzy descriptor systems. Using the Lyapunov function method, the matrix magnified theory and the linear matrix inequality （LMI）technology, the passive control problem for delay T-S fuzzy sys- tems was studied. Firstly, a sufficient condition was obtained for existence of an observer-based controller, which can guarantee that the closed-loop delay T-S fuzzy descriptor systems is admissi- ble and strictly passive. Then the sufficient condition was converted to the form of linear matrix inequality and the solution of passive controller can be obtained by solving the linear matrix inequali- ty. Conclusion is that the proposed method can well solve the passive control problem for T-S fuzzy descriptor systems with time-delay and disturbance. Numerical examples show that the meth- od is valid and available.

关 键 词：T-S模糊广义系统 时滞 观测器 无源控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]