H∞ Control for Continuous-time T-S Fuzzy Systems Using Fuzzy Lyapunov Functions: A LMI Approach

被引:0
|
作者
Chang, Xiao-Heng [1 ,3 ]
Hong, Liang [2 ]
Feng, Yi-Fu [3 ]
机构
[1] Bohai Univ, Coll Informat Sci & Engn, Jinzhou 121003, Peoples R China
[2] China Univ Mining & Technol, Sch mech Elect & Informat Engn, Beijing 100083, Peoples R China
[3] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
关键词
Continuous-time T-S fuzzy systems; Fuzzy Lyapunov functions; H-infinity; LMI; OUTPUT-FEEDBACK CONTROL; NONLINEAR-SYSTEMS; CONTROL DESIGN; STABILITY; STABILIZATION; OBSERVERS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problems of relaxed stability conditions and state feedback H-infinity controller designs arc studied for continuous-time T-S fuzzy systems using fuzzy Lyapunov functions approach. A new stability conditions are obtained by relaxing the stability conditions derived in previous papers, and a sufficient LMI conditions which guarantee the existence of the state feedback Ho controller for T-S fuzzy systems is proposed. Then the solving approach for BLMI is studied based on convex optimization techniques. Finally the effectiveness of the proposed approach is shown through two numerical examples.
引用
收藏
页码:2519 / +
页数:3
相关论文
共 50 条
  • [1] 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
  • [2] Dynamic Output Feedback Control for Continuous-Time T-S Fuzzy Systems Using Fuzzy Lyapunov Functions
    Liu, Yang
    Wu, Fen
    Ban, Xiaojun
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (05) : 1155 - 1167
  • [3] Static Output Feedback Control for Continuous-time T-S Fuzzy Systems: An LMI Approach
    Jeung, Eun Tae
    Lee, Kap Rai
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (03) : 703 - 708
  • [4] Static output feedback control for continuous-time T-S fuzzy systems: An LMI approach
    Eun Tae Jeung
    Kap Rai Lee
    International Journal of Control, Automation and Systems, 2014, 12 : 703 - 708
  • [5] LMI-based Control Synthesis for Continuous-time T-S Fuzzy Systems
    Wang, Dong
    Chang, Xiao-Heng
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 2707 - 2711
  • [6] Control of Continuous-Time T-S Fuzzy Affine Dynamic Systems via Piecewise Lyapunov Functions
    Qiu, Jianbin
    Feng, Gang
    2012 12TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS & VISION (ICARCV), 2012, : 1675 - 1680
  • [7] A New Fuzzy Lyapunov Function Approach to Stability and Stabilization for Continuous-Time T-S Fuzzy Systems
    Li, Lizhen
    Wang, Weiqun
    ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION ICMS2010, VOL 5: APPLIED MATHEMATICS AND MATHEMATICAL MODELLING, 2010, : 14 - 19
  • [8] H∞ control for T-S fuzzy systems:: LMI approach
    Liu, XD
    Zhang, QL
    PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 987 - 988
  • [9] Local H∞ Control for Continuous-Time T-S Fuzzy Systems via Generalized Non-Quadratic Lyapunov Functions
    Hu, Guolin
    Zhang, Jian
    Yan, Zhiguo
    MATHEMATICS, 2022, 10 (19)
  • [10] Static-Output-Feedback H∞ Control of Continuous-Time T-S Fuzzy Affine Systems Via Piecewise Lyapunov Functions
    Qiu, Jianbin
    Feng, Gang
    Gao, Huijun
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2013, 21 (02) : 245 - 261