Stabilization for discrete-time fuzzy systems with Takagi-Sugeno's models: reduce the complexity

被引：3
|
作者：
Wang LiKui [1 ]
Liu XiaoDong [2 ]
机构：
[1] Nanchang Hangkong Univ, Sch Math & Informat Sci, Nanchang 330063, Peoples R China
[2] Dalian Univ Technol, Res Ctr Informat & Control, Dalian 116024, Peoples R China
来源：
SCIENCE CHINA-INFORMATION SCIENCES | 2010年 / 53卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Takagi-Sugeno's fuzzy model; non-quadratic Lyapunov function; linear matrix inequality; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; STABILITY CONDITIONS; LMI; DESIGNS; FORM; IDENTIFICATION; UNCERTAINTIES; CONTROLLER; OBSERVERS;
D O I：
10.1007/s11432-010-4116-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of sate feedback control for discrete-time fuzzy systems with Takagi-Sugeno's models is investigated to reduce the computational burden. A stabilization condition is obtained by applying a new Lyapunov function. It is shown that our new theorem is equivalent to an existing result in guaranteeing the stability of the fuzzy system but consumes less computational time than the latter. The effectiveness and the superiority of the proposed design approach are demonstrated by an example borrowed from the literature.
引用
收藏
页码：2506 / 2513
页数：8
相关论文
共 50 条
  • [31] Relaxed H∞ Filtering Designs for Discrete-Time Takagi-Sugeno Fuzzy Systems
    Pan Juntao
    Fei Shumin
    Liu Fang
    Niu Yong
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 3529 - 3534
  • [32] State Estimation of Discrete-Time Takagi-Sugeno Fuzzy Systems in a Network Environment
    Zhang, Hui
    Wang, Junmin
    IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (08) : 1525 - 1536
  • [33] A practical test for assessing the reachability of discrete-time Takagi-Sugeno fuzzy systems
    Witczak, Marcin
    Rotondo, Damiano
    Puig, Vicenc
    Witczak, Piotr
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (12): : 5936 - 5951
  • [34] On Reachable Set Bounding for Delayed Discrete-Time Takagi-Sugeno Fuzzy Systems
    Feng, Zhiguang
    Zheng, Wei Xing
    2016 AUSTRALIAN CONTROL CONFERENCE (AUCC), 2016, : 335 - 340
  • [35] Robust stabilization for discrete-time Takagi-Sugeno fuzzy system based on N4SID models
    Jemmali, Mohamed Ali
    Otis, Martin J. -D.
    Ellouze, Mahmoud
    ENGINEERING COMPUTATIONS, 2019, 36 (04) : 1400 - 1427
  • [36] Discrete-time Takagi-Sugeno descriptor models: controller design
    Estrada-Manzo, Victor ggggg
    Guerra, Thierry Marie
    Lendek, Zsofia
    Pudlo, Philippe
    2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2014, : 2277 - 2281
  • [37] Further studies on relaxed stabilization conditions for discrete-time two-dimension Takagi-Sugeno fuzzy systems
    Ding, Da-Wei
    Li, Xiaoli
    Yin, Yixin
    Xie, Xiang-Peng
    INFORMATION SCIENCES, 2012, 189 : 143 - 154
  • [38] LMI relaxations for nonquadratic stabilization of discrete-time Takagi-Sugeno systems based on polynomial fuzzy Lyapunov functions
    Tognetti, Eduardo S.
    Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    MED: 2009 17TH MEDITERRANEAN CONFERENCE ON CONTROL & AUTOMATION, VOLS 1-3, 2009, : 7 - 12
  • [39] Reducing the Conservatism of Stabilization for Discrete-Time Takagi-Sugeno Fuzzy Systems via a New Extended Representation Approach
    Xie, Xiangpeng
    Yue, Dong
    Park, Ju H.
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (11): : 4387 - 4393
  • [40] Enhanced Stabilization of Discrete-Time Takagi-Sugeno Fuzzy Systems Based on a Comprehensive Real-Time Scheduling Model
    Xie, Xiangpeng
    Yue, Dong
    Park, Ju H.
    Liu, Jinliang
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (02): : 881 - 892
12345