Local Stability and Local Stabilization of Discrete-time T-S Fuzzy Systems with Time-delay

被引：21
|
作者：
Lee, Donghwan [1 ]
Joo, Young Hoon [2 ]
Ra, In-Ho [3 ]
机构：
[1] Purdue Univ, Dept Elect & Comp Engn, W Lafayette, IN 47906 USA
[2] Kunsan Natl Univ, Dept Control & Robot Engn, Kunsan 573701, Chonbuk, South Korea
[3] Kunsan Natl Univ, Sch Comp Informat & Commun Engn, Kunsan 573701, Chonbuk, South Korea
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2016年 / 14卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Domain of attraction; Lyapunov function; nonlinear systems; Takagi-Sugeno (T-S) fuzzy systems; time-delay; INTELLIGENT DIGITAL REDESIGN; LYAPUNOV FUNCTION-APPROACH; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; NONQUADRATIC STABILIZATION; QUADRATIC STABILIZATION; CONTROLLER SYNTHESIS; PERFORMANCE; DESIGN;
D O I：
10.1007/s12555-015-2006-7
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 goal of this paper is to propose linear matrix inequality (LMI) formulations to analyze the local stability and local stabilization of discrete-time nonlinear systems represented by Takagi-Sugeno (T-S) fuzzy systems with time-delay. In order to estimate the domain of attraction (DA) of the time-delay systems, the so-called fuzzy Lyapunov-Krasovskii functionals are used to characterize the subsets of the DA as sublevel sets of the Lyapunov-Krasovskii functionals. We use the information of the variation rates of the membership functions to obtain less conservative results. Finally, examples are given to illustrate the proposed methods.
引用
收藏
页码：29 / 38
页数：10
相关论文
共 50 条
  • [41] Improved Delay-and-Its-derivative-Dependent Stability and Stabilization Conditions for T-S Fuzzy Systems with Time-Delay
    Gao, Zifan
    Zhang, Dawei
    Yang, Jiaxiu
    [J]. PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 2772 - 2777
  • [42] Local l2-stabilization of nonlinear discrete-time systems with delayed states through T-S fuzzy models
    Silva, L. F. P.
    Castelan, E. B.
    Leite, V. J. S.
    [J]. 2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 3934 - 3939
  • [43] Robust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimates
    Zhang, Baoyong
    Lam, James
    Xu, Shengyuan
    Shu, Zhan
    [J]. FUZZY SETS AND SYSTEMS, 2009, 160 (12) : 1720 - 1737
  • [44] Improved Stability Criteria for Discrete-Time Switched T-S Fuzzy Systems
    Fei, Zhongyang
    Shi, Shuang
    Wang, Tong
    Ahn, Choon Ki
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (02): : 712 - 720
  • [45] Local stability analysis and synthesis of fuzzy systems with time-delay
    Zhou, Linna
    Zhang, Qingling
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 66 - +
  • [46] Stability and Stabilization of Discrete-Time T-S Fuzzy Systems With Time-Varying Delay via Cauchy-Schwartz-Based Summation Inequality
    Park, Myeong-Jin
    Kwon, Oh-Min
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (01) : 128 - 140
  • [47] Stability and stabilization of discrete T-S fuzzy time-delay system based on maximal overlapped-rules group
    Zhang, Songtao
    Zhao, Xiaowei
    Zhang, Jiantong
    [J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2016, 27 (01) : 201 - 210
  • [48] Delay-dependent stabilization of discrete-time interval type-2 T-S fuzzy systems with time-varying delay
    Zhao, Tao
    Dian, Songyi
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (03): : 1542 - 1567
  • [49] Stability and stabilization of discrete T-S fuzzy time-delay system based on maximal overlapped-rules group
    Songtao Zhang
    Xiaowei Zhao
    Jiantong Zhang
    [J]. Journal of Systems Engineering and Electronics, 2016, 27 (01) : 201 - 210
  • [50] Actuator and sensor fault estimation for discrete-time switched T-S fuzzy systems with time delay
    Liu, Ying
    Wang, Youqing
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (02): : 1619 - 1634
12345