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
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2019年 / 38卷 / 10期
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
  • [11] Membership Function Derivatives Transformation Approach for Stability Analysis and Stabilization Control of T-S Fuzzy Systems
    Li, He
    Xie, Wen-bo
    Lam, Hak-Keung
    Zhang, Jian
    IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (08) : 7906 - 7912
  • [12] Delay-dependent T-S fuzzy control for nonlinear interconnected systems: Using dithers as auxiliaries
    Hsiao, Feng-Hsiag
    APPLIED SOFT COMPUTING, 2013, 13 (11) : 4442 - 4459
  • [13] An Improved Result for Stabilization and H∞ Control of T-S Fuzzy Systems
    Hsu, Shun-Yuan
    Yeh, Chung-Chieh
    Su, Yi-Min
    Fang, Chun-Hsiung
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 514 - 519
  • [14] Robust fuzzy stabilization of hybrid discrete delay T-S systems
    Mahmoud, Magdi S.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (02): : 625 - 652
  • [15] LMI based stability and stabilization for uncertain T-S fuzzy fractional order systems
    Zhang, Xuefeng
    Liu, Yangyang
    PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 629 - 633
  • [16] Stabilization for T-S Fuzzy Systems with Quantized and Delayed Feedback
    Zhang Xiaomei
    Chen Yan
    Gao Yanbo
    Lu Guoping
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2525 - 2530
  • [17] Quantized Stabilization of Networked T-S Fuzzy Singular Systems
    Lu, Renquan
    Huang, Mingwei
    Bai, Jiangjun
    Peng, Hui
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 6822 - 6825
  • [18] Normalization and stabilization for rectangular singular fractional order T-S fuzzy systems
    Zhang, Xuefeng
    Zhao, Zeli
    FUZZY SETS AND SYSTEMS, 2020, 381 : 140 - 153
  • [19] AN APPROACH FOR STABILITY ANALYSIS OF T-S FUZZY SYSTEMS VIA PIECEWISE QUADRATIC STABILITY
    Zamani, Iman
    Zarif, Mohammad H.
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2010, 6 (09): : 4041 - 4054
  • [20] Stabilization Of Discrete-time T-S Fuzzy Systems With Saturating Actuators
    Naamane, Khadija
    Chaibi, Redouane
    Tissir, El Houssaine
    Hmamed, Abdelaziz
    2017 3RD INTERNATIONAL CONFERENCE ON ADVANCED TECHNOLOGIES FOR SIGNAL AND IMAGE PROCESSING (ATSIP), 2017, : 378 - 382
12345