• DocumentCode
    434600
  • Title

    A robust numerical method for optimal H∞ control

  • Author

    Benner, Peter ; Byers, Ralph ; Mehrmann, Volker ; Xu, Hongguo

  • Author_Institution
    Fakultat fur Mathematik, TU Chemnitz, Germany
  • Volume
    1
  • fYear
    2004
  • fDate
    17-17 Dec. 2004
  • Firstpage
    424
  • Abstract
    We present a new numerical method for the solution of the optimal H∞ control problem. The method is based on the γ-iteration as well as the state-space solution to the (sub)optimal H∞ control problem, but re-formulates all steps in order to achieve better robustness in the presence of rounding errors than any implementation of the textbook formulae. It remains robust in the presence of rounding errors even as γ approaches its optimal value.
  • Keywords
    H/sup /spl infin// control; iterative methods; numerical stability; suboptimal control; /spl gamma/-iteration; optimal H/sub /spl infin// control; robust numerical method; rounding errors; state-space solution; Bismuth; Centralized control; Control systems; Optimal control; Output feedback; Riccati equations; Robust control; Robustness; Roundoff errors; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • Conference_Location
    Nassau
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428666
  • Filename
    1428666
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=434600