• DocumentCode
    2199231
  • Title

    l1 controller design with frequency domain constraints: finite dimensional approximation of dual problems

  • Author

    Ohta, Yoshito

  • Author_Institution
    Dept. of Computer-Controlled Mech. Syst., Osaka Univ., Japan
  • Volume
    2
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    1125
  • Abstract
    This paper studies the l1 controller design with frequency domain constraints using the duality theorem. For this class of problems it was shown in the literature that the standard finite dimensional approximation of the dual problem in the space of finite support sequences may not converge to the optimal value. In this paper, a condition assuring no duality gap is studied, and a way to approximate the dual problem with arbitrary tolerance by finitely many variables is proposed
  • Keywords
    H∞ control; control system synthesis; duality (mathematics); frequency-domain synthesis; multidimensional systems; arbitrary tolerance; duality theorem; finite dimensional approximation; finite support sequences; frequency domain constraints; l1 controller design; Constraint theory; Control systems; Frequency domain analysis; Frequency response; Hydrogen; Lagrangian functions; Linear programming; Mechanical systems; Pi control; Robust control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.981036
  • Filename
    981036
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2199231