• DocumentCode
    697465
  • Title

    Robust control of delay systems: A sliding mode control design via LMI

  • Author

    Gouaisbaut, F. ; Dambrine, M. ; Richard, J.P.

  • Author_Institution
    LAIL, Ecole Centrale de Lille, Villeneuve d´Ascq, France
  • fYear
    2001
  • fDate
    4-7 Sept. 2001
  • Firstpage
    2712
  • Lastpage
    2716
  • Abstract
    In this paper, a sliding mode controller is designed for systems with multiple state delays and submitted to additive pertubations. The conditions for the existence of the sliding regime are studied by using Liapunov-Krasovskii functionals. Upper-bound of the delays are obtained by solving a convex minimisation problem expressed in terms of LMIs. Finally, an example illustrates the proposed method.
  • Keywords
    Lyapunov methods; control system synthesis; convex programming; delay systems; linear matrix inequalities; minimisation; robust control; variable structure systems; LMI; Lyapunov-Krasovskii functionals; additive perturbations; convex minimisation problem; multiple state delay system; robust control; sliding mode control design; upper-bound; Delay effects; Delays; Europe; Linear matrix inequalities; Optimization; Sliding mode control; LMIs; Time Delay Systems; Variable Structure Control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2001 European
  • Conference_Location
    Porto
  • Print_ISBN
    978-3-9524173-6-2
  • Type

    conf

  • Filename
    7076340