Stability and Stabilization Analysis for T-S Interconnected Fuzzy Systems Using LMIs

被引:5
|
作者
Benzaouia, Abdellah [1 ]
El Younsi, Laila [1 ]
El Hajjaji, Ahmed [2 ]
机构
[1] Univ Cadi Ayyad, LAEPT URAC 28, Fac Sci Semlalia, PB 2390, Marrakech, Morocco
[2] MIS Univ Picardie Jules Vernes, 7 Rue Moulin Neuf, F-80000 Amiens, France
关键词
Takagi-Sugeno; Interconnected systems; Multiple Lyapunov function; LMI; LARGE-SCALE SYSTEMS; OUTPUT-FEEDBACK CONTROL; DESIGN;
D O I
10.1007/s00034-019-01082-5
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper deals with both the stability and stabilization problems of large-scale nonlinear systems described by interconnected T-S fuzzy models. Afterward, LMI-based stabilizability conditions for the decentralized parallel distributed compensation controller design are developed. To compare feasibility results for stability analysis, different Lyapunov functions with slack variables are considered. Simulation examples are presented to illustrate and to compare the effectiveness of the proposed stability and stabilization techniques.
引用
收藏
页码:4504 / 4525
页数:22
相关论文
共 50 条
  • [1] Stability and Stabilization Analysis for T–S Interconnected Fuzzy Systems Using LMIs
    Abdellah Benzaouia
    Laila El Younsi
    Ahmed El Hajjaji
    Circuits, Systems, and Signal Processing, 2019, 38 : 4504 - 4525
  • [2] Dilated LMIs based Stability Analysis for Artificial T-S Fuzzy Control Systems
    Kim, Dae Young
    Park, Jin Bae
    Joo, Young Hoon
    2013 13TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2013), 2013, : 677 - 682
  • [3] Stability analysis for Takagi-Sugeno interconnected fuzzy systems using LMIs
    El Hajjaji, Ahmed
    El Younsi, Laila
    Benzaouia, Abdellah
    2016 5TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), 2016, : 423 - 426
  • [4] Decentralized stabilization of fractional order T-S fuzzy interconnected systems with multiple time delays
    Li, Yuting
    Li, Junmin
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (01) : 319 - 331
  • [5] Exponential stability and stabilization of positive T-S fuzzy delayed systems
    Elloumi, Wafa
    Makni, Salama
    Mehdi, Driss
    Chrifi-Alaoui, Larbi
    Chaabane, Mohamed
    Bahloul, Mohamed
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2023, 44 (01) : 223 - 242
  • [6] On Stability and Stabilization of T-S Fuzzy Time-Delayed Systems
    Souza, Fernando O.
    Mozelli, Leonardo A.
    Palhares, Reinaldo M.
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (06) : 1450 - 1455
  • [7] Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model
    Li, Yuting
    COMPLEXITY, 2020, 2020
  • [8] Stability Analysis of T-S Fuzzy Control Systems by Using Set Theory
    Dong, Jiuxiang
    Yang, Guang-Hong
    Zhang, Huaguang
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (04) : 827 - 841
  • [9] Improvements on Stabilization and Robust Tracking Control for T-S Fuzzy Control Systems
    Kau, Shih-Wei
    Huang, Xin-Yuan
    Shiu, Sheng-Yu
    Fang, Chun-Hsiung
    ICIEA: 2009 4TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, VOLS 1-6, 2009, : 3172 - 3177
  • [10] Toward less conservative stability and stabilization conditions for T-S fuzzy systems
    Kim, Sung Hyun
    NONLINEAR DYNAMICS, 2014, 75 (04) : 621 - 632