Delay-Dependent H∞ Filter Design for Discrete-Time Fuzzy Systems With Time-Varying Delays

被引：54

作者：

Chen, Meng ^{[1
]}

Feng, Gang ^{[1
]}

Ma, Haibo ^{[2
]}

Chen, Ge ^{[3
]}

机构：

[1] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Kowloon, Hong Kong, Peoples R China

[2] Johnson Elect Grp, Hong Kong, Hong Kong, Peoples R China

[3] Automat Co Taiyuan Iron & Steel Grp Co Ltd, Taiyuan 030024, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2009年 / 17卷 / 03期

关键词：

Delay-dependent filtering; fuzzy systems with delays; linear matrix inequalities (LMIs); reduced-order filters; PIECEWISE LYAPUNOV FUNCTIONS; DYNAMIC-SYSTEMS; STABILITY ANALYSIS; STATE DELAY; COMMUNICATION-SYSTEMS; CONTROLLER SYNTHESIS; QUADRATIC STABILITY; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1109/TFUZZ.2008.924349

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper investigates delay-dependent H. filter design problems for discrete-time fuzzy systems with time-varying delays. First, a novel delay-dependent piecewise Lyapunov-Krasovskii functional (DDPLKF) is proposed in which both the upper bound of delays and the delay interval are considered. Based on this DDPLKF, the delay-dependent stability criteria for discrete-time systems with constant or time-varying delays are obtained, respectively. Then, delay-dependent full-order and reduced-order H-infinity filter design approaches are proposed. The filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Simulation examples are also given to illustrate the performance of the proposed approaches. It is shown that our approaches are less conservative and that the corresponding H-infinity filters can achieve better performance than the existing approaches.

引用

页码：604 / 616

页数：13

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