A piecewise fuzzy Lyapunov function approach to stability analysis of discrete T-S fuzzy system

被引:2
|
作者
Zhang, Gui-Chen [1 ]
Zhang, Song-Tao [2 ]
Ren, Guang [1 ]
机构
[1] Dalian Maritime Univ, Marine Engn Coll, Dalian 116026, Peoples R China
[2] Dalian Jiaotong Univ, Sch Elect Informat & Engn, Dalian 116028, Peoples R China
关键词
D O I
10.1109/FSKD.2007.108
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Stability analysis of discrete T-S fuzzy system with the common Lyapunov function approach and the fuzzy Lyapunov function approach is computationally attractive but conservative. Based on the definition of a discrete piecewise fuzzy Lyapunov function at each overlapping rules group, this paper introduces a new sufficient stability condition that only needs satisfying the stability condition of the fuzzy Lyapunov function approach in each maximal overlapped-rules group (MORG). A simulation example shows the condition is less conservative and easier to check than earlier approaches.
引用
收藏
页码:316 / +
页数:2
相关论文
共 50 条
  • [41] On stability analysis of nonlinear discrete singularly perturbed T-S fuzzy models
    Sfaihi B.
    Benrejeb M.
    [J]. International Journal of Dynamics and Control, 2013, 1 (1) : 20 - 31
  • [42] Design fuzzy controllers based on T-S fuzzy model via control Lyapunov function
    Chen, SS
    Chang, YC
    [J]. 2003 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-5, PROCEEDINGS, 2003, : 608 - 613
  • [43] New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems
    Mao Wang
    Jia Shi
    Kan Liu
    [J]. Journal of Harbin Institute of Technology(New series), 2015, (05) : 55 - 60
  • [44] H∞ FUZZY STATIC OUTPUT FEEDBACK CONTROL OF T-S FUZZY SYSTEMS BASED ON FUZZY LYAPUNOV APPROACH
    Chang, Xiao-Heng
    Yang, Guang-Hong
    Liu, Xiao-Ping
    [J]. ASIAN JOURNAL OF CONTROL, 2009, 11 (01) : 89 - 93
  • [45] Stability Analysis of Additive Time-Varying T-S Fuzzy System Using Augmented Lyapunov Functional
    Ganesan, Bhuvaneshwari
    Annamalai, Manivannan
    [J]. MATHEMATICS AND COMPUTING, ICMC 2022, 2022, 415 : 335 - 346
  • [46] Stability Analysis of T-S Fuzzy Control System With Sampled-Dropouts Based on Time-Varying Lyapunov Function Method
    Wang, Zhanshan
    Sun, Jian
    Zhang, Huaguang
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (07): : 2566 - 2577
  • [47] Delay-Dependent Generalized H2 Control for Discrete-Time T-S Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function
    Xia, ZhiLe
    [J]. FIFTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS, 2008, : 243 - 247
  • [48] Stability analysis of T-S Fuzzy System via LMI Technique
    Katkol, Pranita S.
    Patil, Utkarsh V.
    Havagondi, Menka M.
    Patil, Ajay B.
    [J]. 2014 IEEE INTERNATIONAL CONFERENCE ON CIRCUIT, POWER AND COMPUTING TECHNOLOGIES (ICCPCT-2014), 2014, : 637 - 641
  • [49] Stability Analysis of a Continuous-time T-S Fuzzy System
    Chung, H. Y.
    Chan, S. C.
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT, VOLS 1-4, 2009, : 669 - 673
  • [50] Stability Analysis of T-S Fuzzy Control System with Sampled-Dropouts Based on Time-Varying Lyapunov Function Method
    Wang, Zhanshan
    Sun, Jian
    Zhang, Huaguang
    [J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020, 50 (07): : 2566 - 2577