Accession number:20093812309360
Title:A fuzzy lyapunov function approach to stabilize uncertain nonlinear systems using improved random search method
Authors:Hwang, Jiing-Dong (1); Tsai, Zhi-Ren (2); Chen, Jian-Yu (1) Author affiliation:(1) Institute of Computer and Communication Engineering, Jinwen University of Science and Technology, Taipei 23154, Taiwan; (2) Department of Computer Science and
Information Electronic Engineering, Asia University, Taichung County 41354, Taiwan
Corresponding author:Hwang, J.-D.
Source title:Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
Abbreviated source title:Conf. Proc. IEEE Int. Conf. Syst. Man Cybern.
Monograph title:2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008
Issue date:2008
Publication year:2008 Pages:3195-3200
Article number:4811787 Language:English
ISSN:1062922X CODEN:PICYE3
Document type:Conference article (CA)
Conference name:2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008
Conference date:October 12, 2008 - October 15, 2008 Conference location:Singapore, Singapore
Conference code:76407
Publisher:Institute of Electrical and Electronics Engineers Inc., 3 Park Avenue, 17th Floor, New York, NY 10016-5997, United States
Abstract:This paper addresses stabilization for Takagi-Sugeno (T-S) fuzzy systems with model uncertainties via a so-called fuzzy
Lyapunov function, which is a multiple Lyapunov function. Based on the fuzzy Lyapunov function approach and a parallel distributed compensation (PDC) scheme, we provide stabilization conditions for closed-loop fuzzy systems with model uncertainties. Furthermore, we propose a compound search strategy composed of island
random optimal algorithms concatenated with the Simplex method
to identify the chaotic systems, and to solve the linear matrix
inequality (LMI) problem. Finally, a numerical example of the Lorenz system is given to illustrate the utility of the proposed approach.
© 2008 IEEE.
Number of references:18 Main heading:Chaotic systems
Controlled terms:Control theory - Cybernetics - Differential equations - Feedback control - Fuzzy systems - Linear control systems - Linear matrix inequalities - Lyapunov functions - Nonlinear systems -
Optimization - Stabilization - Uncertainty analysis
Uncontrolled terms:Closed-loop - Fuzzy Lyapunov function - Fuzzy Lyapunov functions - Linear matrix inequality problems - Lorenz system - Model uncertainties - Model uncertainty - Multiple Lyapunov function - Numerical example - Optimal algorithm - Parallel distributed compensation - Random optimal algorithms - Random search method - Search strategies - Simplex methods - Takagi Sugeno fuzzy systems - Uncertain nonlinear systems
Classification code:961 Systems Science - 951 Materials Science - 931 Classical Physics; Quantum Theory; Relativity - 922.1 Probability Theory - 921.5 Optimization Techniques - 921.4 Combinatorial
Mathematics, Includes Graph Theory, Set Theory - 921.2 Calculus - 921.1 Algebra - 921 Mathematics - 731.4 System Stability - 731.1 Control Systems - 723.4 Artificial Intelligence - 461.9 Biology DOI:10.1109/ICSMC.2008.4811787
Database:Compendex
Compilation and indexing terms, Copyright 2009 Elsevier Inc.
