Delay-Dependent Nonfragile Robust H a Filtering of T-S Fuzzy Time-Delay Systems

被引：15
作者：
Li, Ze [1 ]
Chu, Yuming [2 ]
Xu, Shengyuan [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
[2] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2010年 / 29卷 / 03期
基金：
美国国家科学基金会;
关键词：
H-infinity filtering; Linear matrix inequality; Nonfragile filtering; Takagi-Sugeno fuzzy models; Time-delay systems; LYAPUNOV FUNCTION-APPROACH; OUTPUT-FEEDBACK CONTROL; INFINITY CONTROL; MATRIX INEQUALITIES; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; LMI APPROACH; NON-FRAGILE; STABILIZATION; DESIGN;
D O I：
10.1007/s00034-010-9148-x
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The problem of nonfragile robust H (a) filtering for a class of Takagi-Sugeno fuzzy time-delay systems is investigated in the paper. We design a fuzzy filter which can tolerate some level of the filter gain variations while ensuring both the robust stability and a prescribed H (a) performance level of the filtering error system. Delay-dependent sufficient conditions for the existence of such filters are obtained in terms of linear matrix inequalities, and an explicit expression of a desired filter is given.
引用
收藏
页码：361 / 375
页数：15
相关论文
共 25 条
[1]  
Boyd S., 1994, SIAM STUDIES APPL MA LINEAR MATRIX INEQUA, V15
[2]   Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models [J].
Cao, YY ;
Frank, PM .
FUZZY SETS AND SYSTEMS, 2001, 124 (02) :213-229
[3]   Delay-dependent robust H∞ control for T-S fuzzy systems with time delay [J].
Chen, B ;
Liu, XP .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (04) :544-556
[4]   New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay [J].
Chen, Bing ;
Liu, Xiaoping ;
Tong, Shaocheng .
FUZZY SETS AND SYSTEMS, 2007, 158 (20) :2209-2224
[5]   H∞ controller synthesis of fuzzy dynamic systems based on piecewise lyapunov functions and bilinear matrix inequalities [J].
Feng, G ;
Chen, CL ;
Sun, D ;
Zhu, Y .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (01) :94-103
[6]  
Jadbabaie A, 1998, P AMER CONTR CONF, P2842, DOI 10.1109/ACC.1998.688374
[7]   Robust H∞ fuzzy static output feedback control of T-S fuzzy systems with parametric uncertainties [J].
Kau, Shih-Wei ;
Lee, Hung-Jen ;
Yang, Ching-Mao ;
Lee, Ching-Hsiang ;
Hong, Lin ;
Fang, Chun-Hsiung .
FUZZY SETS AND SYSTEMS, 2007, 158 (02) :135-146
[8]   Robust, fragile, or optimal? [J].
Keel, LH ;
Bhattacharyya, SP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1098-1105
[9]  
Keel LH, 1998, P AMER CONTR CONF, P2852, DOI 10.1109/ACC.1998.688377
[10]   Dynamic output feedback H∞ control of discrete-time fuzzy systems:: a fuzzy-basis-dependent Lyapunov function approach [J].
Lam, James ;
Zhou, Shaosheng .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2007, 38 (01) :25-37
123