On stability analysis of nonlinear discrete singularly perturbed T-S fuzzy models

被引：0
|
作者：
Sfaihi B. [1 ]
Benrejeb M. [1 ]
机构：
[1] Laboratoire de Recherche en Automatique (LARA), Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis, B.P. 37, Tunis
来源：
International Journal of Dynamics and Control | 2013年 / 1卷 / 1期
关键词：
Arrow form matrix; Discrete T-S fuzzy model; Order reduction; Singularly perturbed systems; Stability; Vector norms;
D O I：
10.1007/s40435-013-0003-3
中图分类号：
学科分类号：
摘要：
This paper investigates the stability problem of a class of discrete-time singularly perturbed Tagagi–Sugeno (T-S) fuzzy models. Stability conditions of reduced slow models, based on the use of Borne and Gentina practical stability criterion and matrices in the arrow form, are developed and compared with those concerning the initial singularly perturbed T-S system. The obtained results are practical and easy to use. An example is introduced to illustrate the proposed approaches. © 2013, Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：20 / 31
页数：11
相关论文
共 50 条
  • [1] On Order Reduction and Stability Analysis of Singularly Perturbed T-S Fuzzy Models
    Sfaihi, Boutheina
    Benrejeb, Mohamed
    [J]. 2013 INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT), 2013, : 106 - 111
  • [2] Filter design for discrete-time singularly perturbed T-S fuzzy systems
    Peng, Tong
    Han, Chunsong
    Xiong, Yongyang
    Wu, Ligang
    Pang, Baojun
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (10): : 3011 - 3028
  • [3] A projection scheme to stability analysis of discrete T-S fuzzy models
    Huang, CP
    Juang, YT
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 64 (06) : 643 - 648
  • [4] Output regulation of nonlinear singularly perturbed systems based on T-S fuzzy model
    Shuwei Chen
    [J]. Journal of Control Theory and Applications, 2005, 3 (4): : 399 - 403
  • [5] Output regulation of nonlinear singularly perturbed systems based on T-S fuzzy model
    Shuwei CHEN(Department of Mathematics
    [J]. Control Theory and Technology, 2005, (04) : 399 - 403
  • [6] Multiobjective Control for T-S Fuzzy Singularly Perturbed Systems
    Yang, Chunyu
    Zhang, Qingling
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (01) : 104 - 115
  • [7] Stability Analysis of Discrete T-S Fuzzy Systems
    Zhang, Song-tao
    Wang, Shu-juan
    [J]. 2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 2045 - 2048
  • [8] T-S fuzzy control for dithered nonlinear singularly perturbed systems with multiple time delays
    Hsiao, Feng-Hsiag
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (05): : 1828 - 1850
  • [9] Stability Analysis of Nonstandard Nonlinear Singularly Perturbed Discrete Systems
    Park, Kyun-Sang
    Lim, Jong-Tae
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2011, 58 (05) : 309 - 313
  • [10] Controller Design for T-S Fuzzy Singularly Perturbed Switched Systems
    Ma, Xiaoping
    Wang, Qianjin
    Cheng, Jian
    Guo, Yinan
    Yang, Chunyu
    Zhou, Linna
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2016, : 1159 - 1166
12345