Robustness design of time-delay fuzzy systems using fuzzy Lyapunov method

被引：118

作者：

Yeh, Ken ^{[2
]}

Chen, Chen-Yuan ^{[3
]}

Chen, Cheng-Wu ^{[1
]}

机构：

[1] Shu Te Univ, Dept Logist Management, Kaohsiung 82445, Taiwan

[2] De Lin Inst Technol, Dept Construct Sci & Technol, Taipei, Taiwan

[3] Yung Ta Inst Technol & Commerce, Dept Management Informat Syst, Pingtung, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 205卷 / 02期

关键词：

Fuzzy Lyapunov method; Delay-dependent; T-S fuzzy systems;

D O I：

10.1016/j.amc.2008.05.104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study we address a fuzzy Lyapunov method for the stability analysis of time-delay fuzzy systems subject to external disturbances. A Takagi-Sugeno (T-S) fuzzy model and parallel distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy controller for the stabilization of time-delay fuzzy systems. According to the controlled system, the H-infinity criterion is derived based on the fuzzy Lyapunov method, which is defined in terms of fuzzy-blending quadratic Lyapunov functions. Based on the stability criterion, the time-delay fuzzy systems are guaranteed to be stable. The control problem can then be reformulated as a linear matrix inequality (LMI) problem. A simulation is provided to explore the feasibility of the proposed fuzzy controller design method. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：568 / 577

页数：10

共 36 条

[1]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[2] Analysis and design for a class of complex control systems .2. Fuzzy controller design [J].

Cao, SG ;

Rees, NW ;

Feng, G .

AUTOMATICA, 1997, 33 (06) :1029-1039

[3] Stability analysis and design for a class of continuous-time fuzzy control systems [J].

Cao, SG ;

Rees, NW ;

Feng, G .

INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (06) :1069-1087

[4] 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

[5] 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

[6] Robustness design of nonlinear dynamic systems via fuzzy linear control [J].

Chen, BS ;

Tseng, CS ;

Uang, HJ .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (05) :571-585

[7] A novel delay-dependent criterion for time-delay T-S fuzzy system using fuzzy Lyapunov method [J].

Chen, Cheng-Wu ;

Lin, Chen-Liang ;

Tsai, Chung-Hung ;

Chen, Chen-Yuan ;

Yeh, Ken .

INTERNATIONAL JOURNAL ON ARTIFICIAL INTELLIGENCE TOOLS, 2007, 16 (03) :545-552

[8] Modeling, H∞ control and stability analysis for structural systems using takagi-sugeno fuzzy model [J].

Chen, Cheng-Wu ;

Yeh, Ken ;

Chiang, Wei-Ling ;

Chen, Chen-Yuan ;

Wu, Deh-Juan .

JOURNAL OF VIBRATION AND CONTROL, 2007, 13 (11) :1519-1534

[9] Stability conditions of fuzzy systems and its application to structural and mechanical systems [J].

Chen, Cheng-Wu .

ADVANCES IN ENGINEERING SOFTWARE, 2006, 37 (09) :624-629

[10] ANALYSIS AND DESIGN OF FUZZY CONTROL-SYSTEM [J].

CHEN, CL ;

CHEN, PC ;

CHEN, CK .

FUZZY SETS AND SYSTEMS, 1993, 57 (02) :125-140

← 1 2 3 4 →