A Novel Asymmetric Lyapunov-Krasovskii Functional Method to Stability for T-S Fuzzy Systems with Time-Varying Delay

被引:15
|
作者
Sheng, Zhaoliang [1 ]
Wang, Likui [2 ]
Lin, Chong [1 ]
Chen, Bing [1 ]
机构
[1] Qingdao Univ, Sch Automat, Inst Complex Sci, Shandong Key Lab Ind Control Technol, Qingdao 266071, Peoples R China
[2] Hebei Univ Technol, Sch Art Intelligence, Tianjin 300401, Peoples R China
基金
中国国家自然科学基金;
关键词
T-S fuzzy systems; Time-varying delay; Stability; Asymmetric Lyapunov-Krasovskii functional; STABILIZATION; INEQUALITY;
D O I
10.1007/s40815-021-01176-w
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a novel asymmetric Lyapunov-Krasovskii functional (LKF) method for the stability of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay is proposed. This asymmetric LKF method is shown to effectively reduce conservatism compared with symmetric LKF method. For further improving the stability criterion, the method is combined with the improved membership-function-dependent technique. Two numerical examples are given to demonstrate the advantages of our method and stability criterion numerically.
引用
收藏
页码:949 / 956
页数:8
相关论文
共 50 条
  • [1] On designing Lyapunov-Krasovskii functional for time-varying delay T-S fuzzy systems
    Sadek, Belamfedel Alaoui
    El Houssaine, Tissir
    Noreddine, Chaibi
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (05): : 2192 - 2205
  • [2] An Asymmetric Lyapunov-Krasovskii Functional Method on Stability and Stabilization for T-S Fuzzy Systems With Time Delay
    Sheng, Zhaoliang
    Lin, Chong
    Chen, Bing
    Wang, Qing-Guo
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (06) : 2135 - 2140
  • [3] An Augmented Lyapunov-Krasovskii Functional Approach to Analyze Stability of T-S Fuzzy Systems With Time-Varying Delay
    Yang, Jiaxiu
    Zhu, Shuqian
    Wang, Tian-Bao
    [J]. 2018 AUSTRALIAN & NEW ZEALAND CONTROL CONFERENCE (ANZCC), 2018, : 65 - 68
  • [4] A Novel Asymmetric Lyapunov–Krasovskii Functional Method to Stability for T–S Fuzzy Systems with Time-Varying Delay
    Zhaoliang Sheng
    Likui Wang
    Chong Lin
    Bing Chen
    [J]. International Journal of Fuzzy Systems, 2022, 24 : 949 - 956
  • [5] Stability condition for T-S fuzzy systems with time delay via novel Lyapunov-Krasovskii functional
    Zhao, Xin
    Liu, Huanxia
    Lin, Chong
    Chen, Bing
    [J]. 2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1260 - 1264
  • [6] A novel Lyapunov-Krasovskii functional approach to stability and stabilization for T-S fuzzy systems with time delay
    Zhao, Xin
    Lin, Chong
    Chen, Bing
    Wang, Qing-Guo
    [J]. NEUROCOMPUTING, 2018, 313 : 288 - 294
  • [7] Further Studies on Stability and Stabilization of T-S Fuzzy Systems With Time-Varying Delays via Fuzzy Lyapunov-Krasovskii Functional Method
    Tan, Jiyong
    Dian, Songyi
    Zhao, Tao
    [J]. ASIAN JOURNAL OF CONTROL, 2018, 20 (06) : 2207 - 2222
  • [8] Asymmetric Lyapunov-Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay
    Wang, Hao
    Sheng, Zhaoliang
    Lin, Chong
    Chen, Bing
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (14) : 2998 - 3009
  • [9] Construction of Lyapunov-Krasovskii functional for time-varying delay systems
    Ariba, Yassine
    Gouaisbaut, Frederic
    [J]. 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 3995 - 4000
  • [10] Novel Lyapunov-Krasovskii functional with delay-dependent matrix for stability of time-varying delay systems
    Kwon, W.
    Koo, Baeyoung
    Lee, S. M.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 320 : 149 - 157