Stability Analysis of Fuzzy Control for Nonlinear Systems

被引:5
|
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
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 50 条
  • [1] Stability analysis to fuzzy control design for nonlinear systems
    Feier, Zhang
    [J]. Advances in Modelling & Analysis C: Systems Analysis, Control & Design, 1994, 40 (04): : 47 - 54
  • [2] Stability analysis of fuzzy control for a class of complex nonlinear systems
    Wang, Yan
    Zhang, Qing-Ling
    Liu, Xiao-Dong
    Duan, Xiao-Dong
    [J]. Dongbei Daxue Xuebao/Journal of Northeastern University, 2002, 23 (08): : 718 - 721
  • [3] Stability analysis of nonlinear control systems with fuzzy DMC controllers
    Marusak, P
    Tatjewski, P
    [J]. ADVANCED FUZZY-NEURAL CONTROL 2001, 2002, : 21 - 26
  • [4] Stability analysis of fuzzy control for a class of complex uncertain nonlinear systems
    Gong, CZ
    Wang, AI
    [J]. Proceedings of 2005 International Conference on Machine Learning and Cybernetics, Vols 1-9, 2005, : 758 - 761
  • [5] Stability analysis and constrained fuzzy tracking control of positive nonlinear systems
    Xiaolong Zheng
    Xinyong Wang
    Yunfei Yin
    Lili Hu
    [J]. Nonlinear Dynamics, 2016, 83 : 2509 - 2522
  • [6] Stability analysis and constrained fuzzy tracking control of positive nonlinear systems
    Zheng, Xiaolong
    Wang, Xinyong
    Yin, Yunfei
    Hu, Lili
    [J]. NONLINEAR DYNAMICS, 2016, 83 (04) : 2509 - 2522
  • [7] A new approach on fuzzy system and stability analysis for nonlinear control systems
    Kawamoto, S
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (05) : 3011 - 3018
  • [8] A new approach on fuzzy system and stability analysis for nonlinear control systems
    Kawamoto, Shunji
    [J]. Nonlinear Analysis, Theory, Methods and Applications, 1997, 30 (05): : 3011 - 3018
  • [9] Stability analysis of fuzzy control systems
    Cao, SG
    Rees, NW
    Feng, G
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1996, 26 (01): : 201 - 204
  • [10] Stability analysis of fuzzy control systems
    Kandel, A
    Luo, Y
    Zhang, YQ
    [J]. FUZZY SETS AND SYSTEMS, 1999, 105 (01) : 33 - 48