基于广义系统表达式的模糊系统稳定性分析  

Stability Analysis of Uncertain T-S Fuzzy System Based on Descriptor Representation

作　　者：巩长忠[1] 曾晓伟[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《中国民航大学学报》2009年第2期38-43,共6页Journal of Civil Aviation University of China

基　　金：中国民航大学科研启动基金(05qd03x)

摘　　要：研究不确定T-S模糊系统的稳定性问题,并基于模糊广义系统表达式,给出了系统稳定的充分条件。在此基础上,转化为求解线性矩阵不等式的问题。与以往结果相比,减少了求解过程的计算量。同时,为了得到更为松弛的线性矩阵不等式条件,提出一种新的模糊控制器设计及模糊Lyapunov函数。算例说明所提方法有效和可行。The problem of stability of uncertain T-S fuzzy system has been studied, and the sufficient conditions, which maintain the stability of the system based on the descriptor representation, has been proved. Then, convert these conditions into LMIs （linear matrix inequalities）. The results reduce computation obviously compared with the previous one. For the more relaxed LMIs conditions ,a new fuzzy controller design approach and fuzzy Lyapunov function are given. Finally, a numerical example is given to show the validity and feasibility of the proposed approach.

关 键 词：不确定T—S模糊系统 广义表达式 模糊LYAPUNOV函数 线性矩阵不等式 

分 类 号：TP202[自动化与计算机技术—检测技术与自动化装置]