Stability Analysis of Fuzzy Control for Nonlinear Systems

被引:11
作者
Chen, Po-Chen [1 ]
Yeh, Ken [2 ]
Chen, Cheng-Wu [3 ]
Lin, Shu-Hao [2 ]
机构
[1] Natl Cent Univ, Dept Civil Engn, Chungli, Taiwan
[2] De Lin Inst Technol, Dept Construct Sci & Technol, Taipei, Taiwan
[3] Shu Te Univ, Dept Logist Management, Kaohsiung, Taiwan
来源
2009 FIRST ASIAN CONFERENCE ON INTELLIGENT INFORMATION AND DATABASE SYSTEMS | 2009年
关键词
Neural network; Genetic algorithm; LYAPUNOV FUNCTION-APPROACH; DELAY-DEPENDENT STABILITY; INTERCONNECTED SYSTEMS; DESIGN; STABILIZATION;
D O I
10.1109/ACIIDS.2009.83
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this study, we propose a method of stability analysis for a GA-Based reference ANNC capable of handling these types of problems for a nonlinear system. The initial values of the consequent parameter vector are decided via a genetic algorithm (GA) after which a modified adaptive law is derived based on Lyapunov stability theory to control the nonlinear system for tracking a user-defined reference model. The requirement of Kalman-Yacubovich lemma is fulfilling. A boundary-layer function is introduced into these updating laws to cover parameter and modeling errors, and to guarantee that the state errors converge into a specified error bound. After this, an adaptive neural network controller (ANNC) is derived to simultaneously stabilize and control the system.
引用
收藏
页码:238 / +
页数:3
相关论文
共 28 条
[1]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[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 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
[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]   ANALYSIS AND DESIGN OF FUZZY CONTROL-SYSTEM [J].
CHEN, CL ;
CHEN, PC ;
CHEN, CK .
FUZZY SETS AND SYSTEMS, 1993, 57 (02) :125-140
[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]   Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems [J].
Cuesta, F ;
Gordillo, F ;
Aracil, J ;
Ollero, A .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (05) :508-520
[8]   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
[9]   Design of fuzzy control systems with guaranteed stability [J].
Feng, G ;
Cao, SG ;
Rees, NW ;
Chak, CK .
FUZZY SETS AND SYSTEMS, 1997, 85 (01) :1-10
[10]   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