• DocumentCode
    3076043
  • Title

    Search methods for a constant scaling matrix attaining minimum H∞ norm

  • Author

    Saeki, Masami

  • Author_Institution
    Inst. of Inf. Sci. & Electron., Tsukuba Univ., Ibaraki, Japan
  • fYear
    1990
  • fDate
    5-7 Dec 1990
  • Firstpage
    2636
  • Abstract
    The authors propose two iterative methods of searching for a constant diagonal matrix W>0 for which the H∞ norm of W0.5G( s) W-0.5 takes minimum value. One method uses an M-matrix property on a frequency domain and the other a Riccati equation property in a state space. Numerical examples show that the convergence is stable and quick within a few iterations by the frequency-domain approach, and that the convergence is within several iterations for an appropriately chosen step length by the state-space approach
  • Keywords
    control system synthesis; frequency-domain analysis; iterative methods; matrix algebra; optimal control; search problems; stability; state-space methods; M-matrix property; Riccati equation property; constant diagonal matrix; constant scaling matrix; frequency-domain approach; minimum H∞ norm; state-space approach; Frequency domain analysis; H infinity control; Iterative methods; Riccati equations; Robust stability; Search methods; Stability analysis; Stability criteria; State-space methods; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/CDC.1990.203443
  • Filename
    203443
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3076043