Stability Analysis of a Continuous-time T-S Fuzzy System

被引:0
|
作者
Chung, H. Y. [1 ]
Chan, S. C. [1 ]
机构
[1] Natl Cent Univ, Dept Elect Engn, Jhongli 32001, Taiwan
关键词
Transfer function; T-S fuzzy model; stability; robust stability; CIRCLE CRITERION; LINEAR-SYSTEMS; STABILIZATION; DESIGN;
D O I
10.1109/IEEM.2009.5373243
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This study proposes absolute stability conditions and an approximate range of robust stability for a continuous-time T-S fuzzy system. In this paper, the mixed transfer functions to synthesize a T-S fuzzy model in any mixed weighting cases for the stability are introduced. A well-known Extreme Value Theorem and Kharitonov's Theorem are developed to analyze the stability robustness and to judge the stability conditions. Finally, two numerical examples are given to show the efficiency and the convenience of the method.
引用
收藏
页码:669 / 673
页数:5
相关论文
共 50 条
  • [31] Simultaneous local stabilisation and fault detection for continuous-time T-S fuzzy systems
    Wu, Yue
    Dong, Jiuxiang
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (08): : 1071 - 1083
  • [32] A new approach to local H∞ control for continuous-time T-S fuzzy models
    Hu, Guolin
    Wang, Likui
    Liu, Xiaodong
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (01) : 213 - 220
  • [33] Control Synthesis of Continuous-Time T-S Fuzzy Systems With Local Nonlinear Models
    Dong, Jiuxiang
    Wang, Youyi
    Yang, Guang-Hong
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (05): : 1245 - 1258
  • [34] State feedback control of continuous-time T-S fuzzy systems via switched fuzzy controllers
    Dong, Jiuxiang
    Yang, Guang-Hong
    INFORMATION SCIENCES, 2008, 178 (06) : 1680 - 1695
  • [35] H∞ Control for Continuous-time T-S Fuzzy Systems Using Fuzzy Lyapunov Functions Approach
    Chang, Xiao-Heng
    Yang, Guang-Hong
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 2066 - 2070
  • [36] Improved approach on stability analysis of T-S fuzzy system
    Zhang, Song-Tao
    Bai, Shi-Zhen
    Kongzhi yu Juece/Control and Decision, 2008, 23 (11): : 1272 - 1276
  • [37] An efficient approach for reducing the conservatism of LMI-based stability conditions for continuous-time T-S fuzzy systems
    Xie, Xiang-Peng
    Liu, Zhen-Wei
    Zhu, Xun-Lin
    FUZZY SETS AND SYSTEMS, 2015, 263 : 71 - 81
  • [38] Stability Analysis of Continuous-Time Fuzzy Large-Scale System
    曾怡达
    张友刚
    肖建
    Journal of Southwest Jiaotong University, 2003, (02) : 144 - 151
  • [39] On Local Non-quadratic H∞ Filtering of Continuous-time T-S Fuzzy Systems
    Pan, Juntao
    Liu, Fang
    Niu, Yong
    Zhang, Bai
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 6675 - 6680
  • [40] Quadratic Optimal Control with Disturbance Attenuation for Uncertain Continuous-Time T-S Fuzzy Systems
    Horng, Wen-Ren
    Fang, Chun-Hsiung
    Chou, Jyh-Horng
    IETE JOURNAL OF RESEARCH, 2017, 63 (01) : 98 - 108