Non-fragile H∞ filter design for discrete-time fuzzy systems with multiplicative gain variations

被引：32
作者：
Chang, Xiao-Heng [1 ]
Yang, Guang-Hong [2 ,3 ]
机构：
[1] Bohai Univ, Coll Engn, Jinzhou 121003, Peoples R China
[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Peoples R China
[3] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110004, Peoples R China
来源：
INFORMATION SCIENCES | 2014年 / 266卷
关键词：
T-S fuzzy systems; Non-fragile H-infinity filters; Multiplicative gain variations; Filter state transformation; Linear matrix inequalities (LMIs); SINGULARLY PERTURBED SYSTEMS; DEPENDENT APPROACH; NONLINEAR-SYSTEMS; ROBUST; STABILITY; VARIABLES;
D O I：
10.1016/j.ins.2013.08.052
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problem of non-fragile H-infinity filter design for discrete-time Takagi-Sugeno (T-S) fuzzy systems. The filter to be designed is assumed to have two type of multiplicative gain variations. By introducing additional matrix variables, a relaxed H-infinity filtering analysis criterion is presented for the fuzzy system based on the fuzzy Lyapunov function. A filter state transformation approach is adopted to design the non-fragile H-infinity filter, and the filter gains are given in terms of the feasible solutions of a set of linear matrix inequalities (LMIs). A simulation example is given to show the efficiency of the proposed methods. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：171 / 185
页数：15
相关论文
共 35 条
[1]   H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints:: An LMI approach [J].
Assawinchaichote, W ;
Nguang, SK .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (06) :1659-1667
[2]   Nonfragile H∞ Filtering of Continuous-Time Fuzzy Systems [J].
Chang, Xiao-Heng ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (04) :1528-1538
[3]   Robust H∞ and mixed H2/H∞ filters for equalization designs of nonlinear communication systems:: Fuzzy interpolation approach [J].
Chen, BS ;
Tsai, CL ;
Chen, DS .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2003, 11 (03) :384-398
[4]   Fuzzy Filter Design for Nonlinear Systems in Finite-Frequency Domain [J].
Ding, Da-Wei ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (05) :935-945
[5]   H∞ control design for fuzzy discrete-time singularly perturbed systems via slow state variables feedback: An LMI-based approach [J].
Dong, Jiuxiang ;
Yang, Guang-Hong .
INFORMATION SCIENCES, 2009, 179 (17) :3041-3058
[6]  
Feng G, 2005, IEEE T AERO ELEC SYS, V41, P658
[7]   A survey on analysis and design of model-based fuzzy control systems [J].
Feng, Gang .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (05) :676-697
[8]  
Gahinet P., 1995, LMI Control Toolbox
[9]   Delay-dependent Robust H∞ and L2-L∞ filtering for a class of uncertain nonlinear time-delay systems [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (09) :1661-1666
[10]   A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (06) :1631-1640
1234