• DocumentCode
    701075
  • Title

    State feedback optimal H2 and H∞ problems for continuous-time periodic systems

  • Author

    Colaneri, P.

  • Author_Institution
    Dipt. di Elettron., Politec. di Milano, Milan, Italy
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    3788
  • Lastpage
    3793
  • Abstract
    This paper is devoted to three state-feedback control problems for continuous-time linear periodic systems, namely the H2 control problem, the H∞ control problem and the mixed H2/H∞ control problem. The development is based on the the properties of differential Lyapunov and Riccati equations and inequalities. New insight and technical tools are provided for the parametrization of memoryless H∞ controllers and a new algorithm is proposed for the suboptimal solution of the mixed H2/H∞ problem.
  • Keywords
    H2 control; Lyapunov methods; Riccati equations; continuous time systems; differential equations; linear systems; memoryless systems; periodic control; state feedback; suboptimal control; time-varying systems; Riccati equation; continuous-time linear periodic systems; continuous-time periodic systems; differential Lyapunov equation; memoryless H∞ controller parametrization; mixed H2/H∞ control problem; state-feedback control problems; suboptimal solution; Context; Convex functions; Linear matrix inequalities; Linear programming; Riccati equations; Standards; Symmetric matrices; H∞/L1; Periodic systems; Robust control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7082707
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=701075