Stability Analysis of Additive Time-Varying T-S Fuzzy System Using Augmented Lyapunov Functional

被引：0
|
作者：
Ganesan, Bhuvaneshwari [1 ]
Annamalai, Manivannan [1 ]
机构：
[1] Vellore Inst Technol, Div Math, Vandalur Kelambakkam Rd, Chennai 600127, Tamil Nadu, India
来源：
MATHEMATICS AND COMPUTING, ICMC 2022 | 2022年 / 415卷
关键词：
Additive time-varying delays; T-S fuzzy system; Stability; Linear matrix inequality; ROBUST STABILITY; STABILIZATION; DISCRETE;
D O I：
10.1007/978-981-19-9307-7_28
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This article discusses the stability analysis problem of Takagi-Sugeno (T-S) fuzzy system with additive time-varying delay components. To find a stability region and to stabilize the system, a state feedback control scheme is considered. A Lyapunov-Krasovskii functional is constructed to obtain less conservative results by utilizing the integral inequality based on non-orthogonal polynomials and the conditions are derived as linear matrix inequality form. The stability conditions are obtained for the system involving two delay components and the proposed result is validated through numerical examples.
引用
收藏
页码：335 / 346
页数：12
相关论文
共 50 条
  • [1] 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
  • [2] Stability and stabilization of T-S fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals
    Kwon, O. M.
    Park, M. J.
    Park, Ju H.
    Lee, S. M.
    [J]. INFORMATION SCIENCES, 2016, 372 : 1 - 15
  • [3] Stability and stabilization of T-S fuzzy systems with two additive time-varying delays
    Zhao, Tao
    Huang, Mobing
    Dian, Songyi
    [J]. INFORMATION SCIENCES, 2019, 494 : 174 - 192
  • [4] Stability criteria for T-S fuzzy systems with time-varying delay: a fuzzy line-integral Lyapunov functional approach
    Song, Zhicheng
    Zhang, Xian
    Wang, Xin
    Xue, Yu
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 4169 - 4174
  • [5] Stability Analysis of T-S Fuzzy Control System With Sampled-Dropouts Based on Time-Varying Lyapunov Function Method
    Wang, Zhanshan
    Sun, Jian
    Zhang, Huaguang
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (07): : 2566 - 2577
  • [6] 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
  • [7] Stability Analysis of T-S Fuzzy Control System with Sampled-Dropouts Based on Time-Varying Lyapunov Function Method
    Wang, Zhanshan
    Sun, Jian
    Zhang, Huaguang
    [J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020, 50 (07): : 2566 - 2577
  • [8] A Novel Asymmetric Lyapunov-Krasovskii Functional Method to Stability for T-S Fuzzy Systems with Time-Varying Delay
    Sheng, Zhaoliang
    Wang, Likui
    Lin, Chong
    Chen, Bing
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2022, 24 (02) : 949 - 956
  • [9] NEW AUGMENTED LYAPUNOV-KRASOVSKII FUNCTIONAL FOR STABILITY ANALYSIS OF SYSTEMS WITH ADDITIVE TIME-VARYING DELAYS
    Ding, Liming
    He, Yong
    Wu, Min
    Wang, Qinggou
    [J]. ASIAN JOURNAL OF CONTROL, 2018, 20 (04) : 1663 - 1670
  • [10] On Stability and Stabilization of T-S Fuzzy Systems With Time-Varying Delays via Quadratic Fuzzy Lyapunov Matrix
    Li, Guiling
    Peng, Chen
    Xie, Xiangpeng
    Xie, Shaorong
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (09) : 3762 - 3773
12345