Stability Analysis of T-S Fuzzy Control Systems by Using Set Theory

被引：73
|
作者：
Dong, Jiuxiang [1 ,2 ]
Yang, Guang-Hong [1 ,2 ]
Zhang, Huaguang [1 ,2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2015年 / 23卷 / 04期
基金：
中国博士后科学基金;
关键词：
Equivalence class; linear matrix inequalities (LMIs); set theory; stability analysis; T-S fuzzy control systems; NONQUADRATIC STABILIZATION CONDITIONS; H-INFINITY CONTROL; RELAXED STABILITY; ACTIVE SUSPENSION; NONLINEAR-SYSTEMS; LMI CONDITIONS; DESIGN; DELAY; PERFORMANCE;
D O I：
10.1109/TFUZZ.2014.2328016
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper is concerned with the stability analysis for Takagi-Sugeno (T-S) fuzzy control systems. By exploiting the property of the structure of a fuzzy inference engine, an equivalence relation on the index set of the product of fuzzy rule weights is defined. Furthermore, a new stability criterion is proposed by using the equivalence relation and formulated into progressively less-conservative sets of linear matrix inequalities. By using an extension of Polya's theorem, the new criterion is proved to be with no conservatism for quadratic stability analysis of T-S fuzzy control systems with a product inference engine and any possible fuzzy membership functions. A numerical example is given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：827 / 841
页数：15
相关论文
共 50 条
  • [41] Stability Analysis for a Type of Proportional T-S Fuzzy Control Systems Using the Off-Axis Circle Criterion
    Cao, Kairui
    Gao, X. Z.
    Ban, Xiaojun
    Huang, Xianlin
    2010 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2010), 2010,
  • [42] Feedback control of T-S fuzzy systems based on LTV system theory
    Gao, Shiyu
    Man, Zhihong
    Yu, Xinghuo
    INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING EDUCATION, 2009, 46 (01) : 47 - 58
  • [43] Admissibility Analysis and Control Synthesis for T-S Fuzzy Descriptor Systems
    Qiao, Liang
    Zhang, Qingling
    Zhang, Guofeng
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (04) : 729 - 740
  • [44] Further studies on stability analysis and control synthesis of continuous-time T-S fuzzy systems
    Zhang, You
    Ma, Zhiqiang
    Li, Lifang
    ICIC Express Letters, 2011, 5 (9 B): : 3403 - 3409
  • [45] A Comparison between T-S Fuzzy Systems and Affine T-S Fuzzy Systems as Nonlinear Control System Models
    Zeng, Xiao-Jun
    2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2014, : 2103 - 2110
  • [46] Stability Analysis of T-S Fuzzy Control Systems Based on Parameter-dependent Lyapunov Function
    DING Bao-Cang SUN He-Xu QIAO Yu-E(School of Electricity and Automation
    自动化学报, 2005, (04) : 159 - 162
  • [47] Stability analysis of T-S fuzzy models for multiple time-delay networked control systems
    Huang Man
    Wang Xiang-dong
    Proceedings of 2004 Chinese Control and Decision Conference, 2004, : 468 - 471
  • [48] Membership Function Derivatives Transformation Approach for Stability Analysis and Stabilization Control of T-S Fuzzy Systems
    Li, He
    Xie, Wen-bo
    Lam, Hak-Keung
    Zhang, Jian
    IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (08) : 7906 - 7912
  • [49] Modelling and stability analysis of nonlinear networked control systems based on quasi T-S fuzzy model
    Zhang, Hong
    Fang, Huajing
    Zhu, Quanmin
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2015, 24 (01) : 42 - 51
  • [50] Stability analysis of discrete-time T-S fuzzy control systems with uncertain grades of membership
    Wang, Yunxiang
    Dai, Wenzhan
    ISDA 2006: SIXTH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS DESIGN AND APPLICATIONS, VOL 1, 2006, : 310 - 313
12345