New delay-dependent stabilization conditions of T-S fuzzy systems with constant delay

被引:122
作者
Chen, Bing [1 ]
Liu, Xiaoping
Tong, Shaocheng
机构
[1] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[2] Lakehead Univ, Dept Elect Engn, Thunder Bay, ON P7B 5E1, Canada
[3] Liaoning Inst Technol, Dept Basic Math, Jinzhou 121000, Peoples R China
基金
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词
T-S fuzzy systems; time-delay; linear matrix inequality; robust control; delay-dependent stability;
D O I
10.1016/j.fss.2007.02.018
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper focuses on the problem of robust control for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The delay-dependent stability analysis and controller synthesis have been addressed. The free weighting matrix method has been used for stability analysis and controller synthesis. New and less conservative delay-dependent stability conditions are proposed in terms of linear matrix inequalities (LMI). Finally, some examples are given to illustrate the effectiveness of the proposed approaches. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:2209 / 2224
页数:16
相关论文
共 23 条
[1]   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
[2]   Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach [J].
Cao, YY ;
Frank, PM .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (02) :200-211
[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]  
Chen BS, 2000, IEEE T FUZZY SYST, V8, P249, DOI 10.1109/91.855915
[5]   Input/output delay approach to robust sampled-data H∞ control [J].
Fridman, E ;
Shaked, U ;
Suplin, V .
SYSTEMS & CONTROL LETTERS, 2005, 54 (03) :271-282
[6]   Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays [J].
Guan, XP ;
Chen, CL .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (02) :236-249
[7]   Robust stability of uncertain delay-differential systems of neutral type [J].
Han, QL .
AUTOMATICA, 2002, 38 (04) :719-723
[8]   Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [J].
He, Y ;
Wu, M ;
She, JH ;
Liu, GP .
SYSTEMS & CONTROL LETTERS, 2004, 51 (01) :57-65
[9]  
HU SS, 2004, FUZZY SETS SYSTEMS, V51, P57
[10]   Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback [J].
Kwon, OM ;
Park, JH .
CHAOS SOLITONS & FRACTALS, 2006, 27 (03) :800-812