Relaxed stability conditions for Takagi-Sugeno fuzzy systems

被引:0
|
作者
Chadli, M [1 ]
Maquin, D [1 ]
Ragot, J [1 ]
机构
[1] CNRS, Ctr Rech Automat Nancy, UPRESA 7039, F-54516 Vandoeuvre Nancy, France
关键词
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
This paper discusses conditions on stability and stabilization of continuous T-S fuzzy systems. Stability analysis is derived via non-quadratic Lyapunov function technique and LMIs (Linear Matrix Inequalities) formulation to obtain an efficient solution. The nonquadratic Lyapunov function is built by inference of quadratic Lyapunov function of each local model. We show that stability condition of the open-loop T-S systems is assured under certain restrictions on the rate of change of state variables. Following a similar approach, stabilization of the closed-loop continuous T-S fuzzy systems using the well-known PDC (Parallel Distributed Compensation) technique is investigated. The design methodology is illustrated by numerical examples.
引用
收藏
页码:3514 / 3519
页数:6
相关论文
共 50 条
  • [1] Relaxed stability conditions for Takagi-Sugeno's fuzzy models
    Blanco, Y
    Perruquetti, W
    Borne, P
    [J]. NINTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2000), VOLS 1 AND 2, 2000, : 539 - 543
  • [2] Relaxed Stabilization conditions for Takagi-Sugeno systems
    Abdelkrim, Rihab
    Wardi, Mohamed Lazhar
    Gassara, Hamdi
    El Hajjaji, Ahmed
    Chaabane, Mohamed
    Abdelkrim, Mohamed Naceur
    [J]. 2019 16TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD), 2019, : 113 - 118
  • [3] Stability of Takagi-Sugeno fuzzy systems
    Ustoglu, Ilker
    [J]. ICINCO 2006: Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics: INTELLIGENT CONTROL SYSTEMS AND OPTIMIZATION, 2006, : 213 - 216
  • [4] On Stability of Takagi-Sugeno Fuzzy Systems
    Fan, Donghong
    Song, Lixia
    [J]. 2009 SECOND INTERNATIONAL SYMPOSIUM ON KNOWLEDGE ACQUISITION AND MODELING: KAM 2009, VOL 3, 2009, : 263 - +
  • [5] Relaxed stability and performance conditions for Takagi-Sugeno fuzzy systems with knowledge on membership function overlap
    Sala, Antonio
    Arino, Carlos
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2007, 37 (03): : 727 - 732
  • [6] New Conditions for Stability and Stabilizaion of Takagi-Sugeno Fuzzy Systems
    Yoneyama, Jun
    [J]. 2017 11TH ASIAN CONTROL CONFERENCE (ASCC), 2017, : 2154 - 2159
  • [7] Stability of cascaded Takagi-Sugeno fuzzy systems
    Lendek, Zs.
    Babuska, R.
    De Schutter, B.
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-4, 2007, : 504 - 509
  • [8] On delay-dependent stability conditions for Takagi-Sugeno fuzzy systems
    Souza, Fernando O.
    Campos, Victor C. S.
    Palhares, Reinaldo M.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (07): : 3707 - 3718
  • [9] Membership-dependent stability conditions for takagi-sugeno fuzzy systems
    Zhang, Yashun
    Li, Jianzhen
    [J]. Information Technology Journal, 2010, 9 (05) : 968 - 973
  • [10] Sufficient conditions for the stability of linear Takagi-Sugeno free fuzzy systems
    Pang, CT
    Guu, SM
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2003, 11 (05) : 695 - 700