• DocumentCode
    1661621
  • Title

    Reliable computation of γopt in singular H∞ control

  • Author

    Gahinet, Pascal ; Laub, Alan J.

  • Author_Institution
    Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
  • Volume
    2
  • fYear
    1994
  • Firstpage
    1527
  • Abstract
    This paper describes a numerically stable algorithm for the computation of the optimal H∞ performance γopt when the feedthrough matrices D12 or D 21 are rank-deficient. Using only orthogonal transformations, this algorithm extracts a regular subproblem from the original singular H∞ problem. A standard Riccati-based γ-iteration scheme is then applied to this regular subproblem to compute γopt
  • Keywords
    H∞ control; matrix algebra; numerical stability; γopt; feedthrough matrices; numerically stable algorithm; optimal H∞ performance; orthogonal transformations; rank-deficient matrices; singular H∞ control; Eigenvalues and eigenfunctions; Linear algebra; Null space; Optimized production technology; Riccati equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
  • Conference_Location
    Lake Buena Vista, FL
  • Print_ISBN
    0-7803-1968-0
  • Type

    conf

  • DOI
    10.1109/CDC.1994.411228
  • Filename
    411228
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1661621