A New Approach to Relaxed Quadratic Stabilization for Stochastic T-S Fuzzy Systems

被引:0
|
作者
Xie, Xiangpeng [1 ]
Zhang, Huaguang [1 ]
Feng, Jian [1 ]
机构
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang, Liaoning, Peoples R China
关键词
Relaxed quadratic conditions; stochastic systems; Takagi-Sugeno fuzzy model;
D O I
10.1109/ICSMC.2008.4811338
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the problems of quadratic stabilization conditions for stochastic Takagi-Sugeno fuzzy systems have been studied. A new quadratic stability condition, which takes into account the knowledge of the membership function's shape by considering bounds on their cross products, has been proposed. And then a new sufficient condition in terms of linear matrix inequalities is developed to synthesize the state feedback controller that stabilizes the stochastic fuzzy systems. An numerical example is provided to illustrate the effectiveness of the proposed results.
引用
收藏
页码:571 / 576
页数:6
相关论文
共 50 条
  • [1] A New Approach to Relaxed Quadratic Stabilization for T-S Fuzzy Systems
    Liu Guoyi
    Zhang Qingling
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 711 - 716
  • [2] A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems
    Fang, Chun-Hsiung
    Liu, Yung-Sheng
    Kau, Shih-Wei
    Hong, Lin
    Lee, Ching-Hsiang
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (03) : 386 - 397
  • [3] A new LMI-Based approach to relaxed quadratic stabilization of T-S fuzzy control systems
    Liu, YS
    Fang, CH
    2003 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOLS 1-5, CONFERENCE PROCEEDINGS, 2003, : 2255 - 2260
  • [4] A New Approach to Ralaxed Quadratic Stabilization for T-S Fuzzy Systems
    Xie Xiangpeng
    Zhang Huaguang
    Proceedings of the 27th Chinese Control Conference, Vol 4, 2008, : 307 - 310
  • [5] Approach to quadratic stabilization for continuous-time T-S fuzzy systems
    College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
    不详
    Kongzhi yu Juece Control Decis, 2009, 5 (658-662):
  • [6] Relaxed Stabilization of T-S Fuzzy Systems with Time-Delay
    Tsai, Shun-Hung
    Sun, Chen
    Lo, J. -C.
    Lam, H. K.
    2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
  • [7] Stabilization of T-S fuzzy systems: An SOS approach
    Zhang, Daqing
    Zhang, Qingling
    Zhang, Yan
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2008, 4 (09): : 2273 - 2283
  • [8] RELAXED STABILIZATION CONDITIONS FOR SWITCHING T-S FUZZY SYSTEMS WITH PRACTICAL CONSTRAINTS
    Sun, Chung-Hsun
    Lin, Shih-Wei
    Wang, Yin-Tien
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2012, 8 (06): : 4133 - 4145
  • [9] New relaxed stability and stabilization conditions for T-S fuzzy systems with time-varying delays
    Zhou, Kun
    Wang, Binrui
    Qi, Shunan
    IET CONTROL THEORY AND APPLICATIONS, 2021, 15 (14): : 1849 - 1867
  • [10] Stabilization for a Class of Stochastic T-S Fuzzy Systems with different Premises
    Zhang, Liangliang
    Zhou, Shaosheng
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 2483 - 2486