A novel delay-dependent criterion for time-delay T-S fuzzy system using fuzzy Lyapunov method

被引：96

作者：

Chen, Cheng-Wu

Lin, Chen-Liang

Tsai, Chung-Hung

Chen, Chen-Yuan

Yeh, Ken

机构：

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

[2] Natl Sun Yat Sen Univ, Dept Mech & Electro Mech Engn, Kaohsiung 80424, Taiwan

[3] Taiwan Hosp & Tourism Coll, Ctr Tour Geog Informat Syst, Hualien 974, Taiwan

[4] Natl Cent Univ, Dept Civil Engn, Chungli 320, Taiwan

[5] Yung Ta Inst Technol & Commerce, Dept Management Informat Syst, Pingtung 90941, Taiwan

[6] De Lin Inst Technol, Dept Civil Engn, Taipei, Taiwan

来源：

INTERNATIONAL JOURNAL ON ARTIFICIAL INTELLIGENCE TOOLS | 2007年 / 16卷 / 03期

关键词：

fuzzy Lyapunov method; delay-dependent; T-S fuzzy systems;

D O I：

10.1142/S0218213007003400

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This study presents an H-infinity controller design time-delay T-S fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on the delay-dependent condition and parallel distributed compensation (PDC) scheme, the controller design problem is transformed into solving linear matrix inequalities (LMI).

引用

页码：545 / 552

页数：8

共 21 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] 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

[5] Fuzzy Lyapunov method for stability conditions of nonlinear systems [J].

Chen, CW ;

Chiang, WL ;

Tsai, CH ;

Chen, CY ;

Wangs, MHL .

INTERNATIONAL JOURNAL ON ARTIFICIAL INTELLIGENCE TOOLS, 2006, 15 (02) :163-171

[6] Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems [J].

Chen, CW ;

Chiang, WL ;

Hsiao, FH .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 66 (06) :523-537

[7] Output feedback control of switched nonlinear systems using multiple Lyapunov functions [J].

El-Farra, NH ;

Mhaskar, P ;

Christofides, PD .

SYSTEMS & CONTROL LETTERS, 2005, 54 (12) :1163-1182

[8] T-S fuzzy controllers for Nonlinear interconnected systems with multiple time delays [J].

Hsiao, FH ;

Chen, CW ;

Liang, YW ;

Xu, SD ;

Chiang, WL .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (09) :1883-1893

[9] Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control [J].

Hsiao, FH ;

Hwang, JD ;

Chen, CW ;

Tsai, ZR .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (01) :152-163

[10] Delay-dependent robust stability of uncertain fuzzy systems with time-varying delays [J].

Li, CG ;

Wang, HJ ;

Liao, XF .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (04) :417-421

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