• DocumentCode
    1176190
  • Title

    H∞ state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent Lyapunov functions

  • Author

    Choi, Doo Jin ; Park, PooGyeon

  • Author_Institution
    Div. of Electr. & Comput. Eng., Pohang Univ. of Sci. & Technol., South Korea
  • Volume
    11
  • Issue
    2
  • fYear
    2003
  • fDate
    4/1/2003 12:00:00 AM
  • Firstpage
    271
  • Lastpage
    278
  • Abstract
    For discrete-time Takagi-Sugeno (TS) fuzzy systems, we propose an H∞ state-feedback fuzzy controller associated with a fuzzy weighting-dependent Lyapunov function. The controller, which is designed via parameterized linear matrix inequalities (PLMIs), employs not only the current-time but also the one-step-past information on the time-varying fuzzy weighting functions. Appropriately selecting the structures of variables in the PLMIs allows us to find an LMI formulation as a special case.
  • Keywords
    H∞ control; Lyapunov methods; discrete time systems; fuzzy control; linear matrix inequalities; optimisation; stability; state feedback; H∞ control; Lyapunov function; Takagi-Sugeno fuzzy systems; convex optimization; discrete-time systems; fuzzy control; fuzzy weighting functions; parameterized linear matrix inequalities; stability; state-feedback; Computer science education; Control engineering education; Control system synthesis; Control systems; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Stability analysis; Takagi-Sugeno model;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2003.809903
  • Filename
    1192703
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1176190