• DocumentCode
    820313
  • Title

    H∞ filtering for fuzzy dynamical systems with D stability constraints

  • Author

    Nguang, Sing Kiong ; Assawinchaichote, Wudhichai

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Univ. of Auckland, New Zealand
  • Volume
    50
  • Issue
    11
  • fYear
    2003
  • Firstpage
    1503
  • Lastpage
    1508
  • Abstract
    This brief addresses the problem of designing a filter for a class of fuzzy dynamical systems that guarantees that: 1) the L2 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∞ 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.
  • Keywords
    H∞ control; filtering theory; fuzzy systems; linear matrix inequalities; stability; H∞ filtering; L2 gain; fuzzy dynamical system; linear matrix inequality; numerical simulation; quadratic D stability; Filtering; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Linear systems; Nonlinear equations; Nonlinear filters; Nonlinear systems; Riccati equations; Stability;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/TCSI.2003.818624
  • Filename
    1242851
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=820313