• DocumentCode
    1751661
  • Title

    Robust H∞ control problem for nonstandard singularly perturbed systems and application

  • Author

    Mukaidani, Hiroaki ; Xu, Hua

  • Author_Institution
    Fac. of Inf. Sci., Hiroshima City Univ., Japan
  • Volume
    5
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    3920
  • Abstract
    Considers the robust H∞ control problem for nonstandard singularly perturbed uncertain systems under imperfect state measurements. We propose an algorithm which is based on the Kleinman (1968) algorithm with specific initial conditions. Furthermore, we also present an algorithm for solving the generalized Lyapunov equation on the basis of the generalized Schur method. Finally, in order to show the effectiveness of the proposed algorithms, a practical example is included
  • Keywords
    H∞ control; Lyapunov methods; Riccati equations; asymptotic stability; closed loop systems; matrix algebra; robust control; singularly perturbed systems; uncertain systems; Kleinman algorithm; generalized Lyapunov equation; generalized Schur method; imperfect state measurements; nonstandard singularly perturbed systems; robust H∞ control problem; uncertain systems; Control systems; Convergence; Manufacturing processes; Measurement uncertainty; Perturbation methods; Pulp manufacturing; Riccati equations; Robust control; Time varying systems; Uncertain systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2001. Proceedings of the 2001
  • Conference_Location
    Arlington, VA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-6495-3
  • Type

    conf

  • DOI
    10.1109/ACC.2001.946265
  • Filename
    946265
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1751661