• DocumentCode
    696319
  • Title

    A LMI solution to the LQ problem for discrete-time singularly perturbed systems

  • Author

    Malloci, Ivan ; Daafouz, Jamal ; Iung, Claude ; Bonidal, Remi

  • Author_Institution
    Centre de Rech. en Autom. de Nancy, Nancy Univ., Nancy, France
  • fYear
    2009
  • fDate
    23-26 Aug. 2009
  • Firstpage
    3418
  • Lastpage
    3423
  • Abstract
    In this article, an alternative LMI solution for the linear quadratic optimal control design is proposed for discrete-time linear systems in the singular perturbation form. This approach is particularly adapted for the case of high dimension systems. An extension to polytopic uncertain system and an example of practical application to the robust steering control of hot strip mill are also presented.
  • Keywords
    control system synthesis; discrete time systems; linear matrix inequalities; linear quadratic control; linear systems; singularly perturbed systems; uncertain systems; LMI solution; LQ problem; discrete-time linear systems; discrete-time singularly perturbed systems; high dimension systems; linear quadratic optimal control design; polytopic uncertain system; singular perturbation form; Europe; Optimal control; Optimization; Riccati equations; Robustness; Uncertain systems; LMI; LQ control design; Singular perturbation; polytopic uncertainties;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2009 European
  • Conference_Location
    Budapest
  • Print_ISBN
    978-3-9524173-9-3
  • Type

    conf

  • Filename
    7074934