Generalization of stability criterion for Takagi-Sugeno continuous fuzzy model

被引:10
作者
Matía, F [1 ]
Al-Hadithi, BM [1 ]
Jiménez, A [1 ]
机构
[1] Univ Politecn Madrid, DISAM, ETSI Ind, E-28006 Madrid, Spain
关键词
D O I
10.1016/S0165-0114(01)00194-4
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The stability analysis of a generalized class of continuous fuzzy systems in terms of Lyapunov stability theory is presented. Firstly, the stability problem of fuzzy systems described by Takagi-Sugeno's continuous model is stated. Secondly, new stability conditions which guarantee the stability of the fuzzy system are derived. The new stability conditions can be regarded as a general solution for Takagi-Sugeno fuzzy system, in which the offset term is not equal to zero. Finally, the suggested stability theorems are verified by some illustrative examples. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:295 / 309
页数:15
相关论文
共 15 条
  • [1] Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems
    Cuesta, F
    Gordillo, F
    Aracil, J
    Ollero, A
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (05) : 508 - 520
  • [2] Computation of piecewise quadratic Lyapunov functions for hybrid systems
    Johansson, M
    Rantzer, A
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) : 555 - 559
  • [3] Johansson M, 1998, 1998 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AT THE IEEE WORLD CONGRESS ON COMPUTATIONAL INTELLIGENCE - PROCEEDINGS, VOL 1-2, P55, DOI 10.1109/FUZZY.1998.687458
  • [4] Piecewise quadratic stability of fuzzy systems
    Johansson, M
    Rantzer, A
    Årzén, KE
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (06) : 713 - 722
  • [5] Fuzzy model-based control of complex plants
    Kiriakidis, K
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1998, 6 (04) : 517 - 529
  • [6] Quadratic stability analysis of the Takagi-Sugeno fuzzy model
    Kiriakidis, K
    Grivas, A
    Tzes, A
    [J]. FUZZY SETS AND SYSTEMS, 1998, 98 (01) : 1 - 14
  • [7] Kosko B., 1997, FUZZY ENG
  • [8] Matia F., 1996, International Journal of Intelligent Control and Systems, V1, P407, DOI 10.1142/S0218796596000271
  • [9] MATIA F, 1998, IN PRESS SOFTCOM 98
  • [10] Ogata K., 1993, MODERN CONTROL ENG