• DocumentCode
    1174502
  • Title

    Piecewise generalised H2 controller synthesis of discrete-time fuzzy systems

  • Author

    Wang, L. ; Feng, G. ; Hesketh, T.

  • Author_Institution
    Sch. of Electr. Eng. & Telecommun., Univ. of New South Wales, Sydney, NSW, Australia
  • Volume
    151
  • Issue
    5
  • fYear
    2004
  • Firstpage
    554
  • Lastpage
    560
  • Abstract
    A generalised H2 controller synthesis method for discrete-time fuzzy systems based on a piecewise Lyapunov function is presented. The basic idea of the proposed approach is to construct a controller for the discrete-time fuzzy systems in such a way that a piecewise Lyapunov function can be used to establish global stability with generalised H2 performance for the resulting closed-loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of linear matrix inequalities that are numerically tractable with commercially available software. An example is presented to demonstrate the advantage of the proposed approach.
  • Keywords
    H∞ control; Lyapunov methods; closed loop systems; control system synthesis; discrete time systems; fuzzy control; fuzzy systems; linear matrix inequalities; piecewise linear techniques; closed loop fuzzy control system; control synthesis; discrete time fuzzy system; linear matrix inequalities; piecewise Lyapunov function; piecewise generalised H2 control;
  • fLanguage
    English
  • Journal_Title
    Control Theory and Applications, IEE Proceedings -
  • Publisher
    iet
  • ISSN
    1350-2379
  • Type

    jour

  • DOI
    10.1049/ip-cta:20040790
  • Filename
    1363596
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1174502