Membership Functions Integration Approach for State Feedback Control of T-S Fuzzy Systems

被引:0
|
作者
Wen-Bo Xie
Bo-Lin Xu
Chen Peng
Anh-Tu Nguyen
机构
[1] Shanghai University,School of Mechatronic Engineering and Automation
[2] Harbin University of Science and Technology,College of Automation
[3] Shanghai University,Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronic Engineering and Automation
[4] University of Polytechnique Hauts-de-France,UMR CNRS 8201
来源
关键词
Takagi-Sugeno fuzzy systems; Membership functions; Indefinite integration; Conservatism;
D O I
暂无
中图分类号
学科分类号
摘要
For the stability analysis problem of a T-S fuzzy system, a membership functions integration-based method is proposed to relax the existing conservatism. Firstly, indefinite integral functions are derived for the membership functions. Then with a piecewise linear approximation approach, the membership functions and their integration functions are involved in a fuzzy-like Lyapunov function-based stability analysis process. Finally, comparisons with existing methods are presented in the simulation section to show the advantages of the proposed method.
引用
收藏
页码:2931 / 2945
页数:14
相关论文
共 50 条
  • [1] Membership Functions Integration Approach for State Feedback Control of T-S Fuzzy Systems
    Xie, Wen-Bo
    Xu, Bo-Lin
    Peng, Chen
    Nguyen, Anh-Tu
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2022, 24 (06) : 2931 - 2945
  • [2] A novel polynomial membership functions based control method for T-S fuzzy systems
    Xie, Wen-Bo
    Zhang, Jian
    Li, Yi-Fan
    Palhares, Reinaldo M.
    ISA TRANSACTIONS, 2022, 129 : 192 - 203
  • [3] A novel H∞ control for T-S fuzzy systems with transform matching membership functions
    Zhang, Zhenxing
    Dong, Jiuxiang
    FUZZY SETS AND SYSTEMS, 2023, 467
  • [4] Stability Analysis for T-S Fuzzy Control Systems with Linear Interpolations into Membership Functions
    Wang, Peng
    Li, Ning
    Li, Shaoyuan
    2012 12TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS & VISION (ICARCV), 2012, : 1749 - 1754
  • [5] Fault Detection for T-S Fuzzy Systems With Unknown Membership Functions
    Li, Xiao-Jian
    Yang, Guang-Hong
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (01) : 139 - 152
  • [6] Hybrid state feedback control for T-S fuzzy systems with nonminimum phase
    Kim, SS
    Choi, JY
    ADVANCED FUZZY-NEURAL CONTROL 2001, 2002, : 155 - 160
  • [7] Reliable State Feedback Control of T-S Fuzzy Systems With Sensor Faults
    Dong, Jiuxiang
    Yang, Guang-Hong
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (02) : 421 - 433
  • [8] A Novel H∞ Control for T-S Fuzzy Systems With Membership Functions Online Optimization Learning
    Zhang, Zhenxing
    Dong, Jiuxiang
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (04) : 1129 - 1138
  • [9] State-Feedback H∞ Control of LPV T-S Fuzzy Systems Using Piecewise Lyapunov Functions
    Hu, Yang
    Liu, Jizhen
    Chang, Taihua
    Li, Wei
    Lin, Zhongwei
    2013 18TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2013, : 650 - 655
  • [10] Enhanced State Feedback Control of T-S Fuzzy Systems with Time-delays
    Lian, Zhi
    He, Yong
    Zhang, Chuanke
    Shi, Peng
    Wu, Min
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 3309 - 3315