Delay-dependent Non-fragile H_∞ Filtering for Uncertain Fuzzy Systems Based on Switching Fuzzy Model and Piecewise Lyapunov Function  

作　　者：Zhi-Le Xia Jun-Min Li Jiang-Rong Li 

机构地区：[1]School of Science, Xidian University, Xi＇an 710071, PRC [2]School of Mathematics and Information Engineering, Taizhou University, Taizhon 2317000, PRC [3]College of Mathematics and Computer Science, Yanan University, Yanan 716000, PRC

出　　处：《International Journal of Automation and computing》2010年第4期428-437,共10页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China(No.60974139,No.60804021);Fundamental Research Funds for the Central Universities

摘　　要：This paper is concerned with the non-fragile H∞ filter design problem for uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with time delay. To begin with, the T-S fuzzy system is transformed to an equivalent switching fuzzy system. Then, based on the piecewise Lyapunov function and matrix decoupling technique, a new delay-dependent non-fragile H∞ filtering method is proposed for the switching fuzzy system. The proposed condition is less conservative than the previous results. Since only a set of LMIs is involved, the filter parameters can be solved directly. Finally, a design example is provided to illustrate the validity of the proposed method.This paper is concerned with the non-fragile H∞ filter design problem for uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with time delay. To begin with, the T-S fuzzy system is transformed to an equivalent switching fuzzy system. Then, based on the piecewise Lyapunov function and matrix decoupling technique, a new delay-dependent non-fragile H∞ filtering method is proposed for the switching fuzzy system. The proposed condition is less conservative than the previous results. Since only a set of LMIs is involved, the filter parameters can be solved directly. Finally, a design example is provided to illustrate the validity of the proposed method.

关 键 词：Non-fragile H∞ filter DELAY-DEPENDENT piecewise Lyapunov function linear matrix inequalities （LMIs） 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP18[自动化与计算机技术—控制科学与工程]