H∞ filtering for fuzzy dynamical systems with D stability constraints

被引:173
|
作者
Nguang, SK [1 ]
Assawinchaichote, W [1 ]
机构
[1] Univ Auckland, Dept Elect & Elect Engn, Auckland 1, New Zealand
关键词
fuzzy system models; Lyapunov function; stabilizing controller;
D O I
10.1109/TCSI.2003.818624
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 brief addresses the problem of designing a filter for a class of fuzzy dynamical systems that guarantees that: 1) the L-2 gain from an exogenous input to a filter error is less or equal to a prescribed value and 2) the filter is quadratically stable in a prespecified linear matrix inequality (LMI) stability region. Based on an LMI approach, solutions to the problem of the H-infinity fuzzy filtering with quadratic D stability are derived in terms of a family of LMIs. Numerical simulation examples are presented to illustrate the theory development.
引用
收藏
页码:1503 / 1508
页数:6
相关论文
共 50 条
  • [1] On the stability of fuzzy dynamical systems
    Cecconello, M. S.
    Bassanezi, R. C.
    Brandao, A. J. V.
    Leite, J.
    FUZZY SETS AND SYSTEMS, 2014, 248 : 106 - 121
  • [2] Decentralized fuzzy H∞ filtering for networked interconnected systems under communication constraints
    Tian, Engang
    Yue, Dong
    NEUROCOMPUTING, 2016, 185 : 28 - 36
  • [3] On the stability of fuzzy linear dynamical systems
    Najariyan, Marzieh
    Zhao, Yi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (09): : 5502 - 5522
  • [4] H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints:: An LMI approach
    Assawinchaichote, W
    Nguang, SK
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (06) : 1659 - 1667
  • [5] Attractors and asymptotic stability for fuzzy dynamical systems
    Bassanezi, RC
    de Barros, LC
    Tonelli, PA
    FUZZY SETS AND SYSTEMS, 2000, 113 (03) : 473 - 483
  • [6] Stability of Linear Dynamical Systems with Fuzzy Parameters
    Lan, Le Hung
    FIFTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 5, PROCEEDINGS, 2008, : 115 - 118
  • [7] Stability and controllability of fuzzy singular dynamical systems
    Najariyan, Marzieh
    Pariz, Naser
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (15): : 8171 - 8187
  • [8] Comments on "H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints:: An LMI approach"
    Yang, Guang-Hong
    Lum, Kai-Yew
    Dong, Jiuxiang
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2007, 55 (02) : 716 - 717
  • [9] Fuzzy H∞ filtering for nonlinear 2D systems in the Roesser model
    Badie, Khalid
    Alfidi, Mohammed
    Chalh, Zakaria
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2019, 33 (02) : 169 - 178
  • [10] Stability of asynchronous dynamical systems with rates constraints and applications
    Rabello, A
    Bhaya, A
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (05): : 546 - 550