时变时滞模糊系统的稳定性分析  

Stability analysis of fuzzy systems with time-varying delay

作　　者：郭岗[1,2] 赵斌[2] 牛文生[3] 朱敏[4] 

机构地区：[1]西安电子科技大学计算机学院,陕西西安710071 [2]洛阳师范学院信息技术学院,河南洛阳471022 [3]中国航空计算技术研究所,陕西西安710068 [4]西安通信学院通信装备管理系,陕西西安710106

出　　处：《华中科技大学学报（自然科学版）》2010年第7期130-132,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国防预研基金资助项目

摘　　要：提出了一种对一类连续Takagi-Sugeno(T-S)时变时滞系统进行时滞相关的稳定性分析的新方法,与现有的方法相比有着较小的保守性.定义了一种新型的模糊Lyapunov-Krasovskii函数(FLKF),得到了系统时滞相关的稳定性条件.在推导过程中,引入多个自由权值矩阵变量来表示系统方程中各项及莱布尼兹-牛顿公式各项之间的关系,避免使用边界不等式和模型转换所带来的保守性;同时在估计FLKF的导数上界时,考虑了常被忽略的有用项.通过仿真验证了所提方法的有效性.A new method for the delay-dependent stability analysis for continuous-time Takagi-Sugeno（T-S） fuzzy systems with a time-varying delay is suggested,which is less conservative than other existing ones. Based on a fuzzy Lyapunov-Krasovskii functional（FLKF）,a delay-dependent stability criterion was derived for the fuzzy systems. In the derivation process,some free-weighting matrices were introduced to express the relationships among the terms of the system equations,and among the terms in the Leibniz-Newton formula,which may avoid the conservation produced by some bounding inequalities for cross products between two vectors and model transformation. Finally,a simulation example shows that the approach is effective.

关 键 词：模糊控制系统 时滞系统 稳定性分析 自由权值矩阵 模糊Lyapunov-Krasovskii函数(FLKF) 线性矩阵不等式(LMIs) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]