• DocumentCode
    2418012
  • Title

    Optimal constant scaling matrix for H∞ control and μ-synthesis-state feedback case

  • Author

    Saeki, Masami

  • Author_Institution
    Div. of Mach. Design Eng., Hiroshima Univ., Japan
  • fYear
    1992
  • fDate
    1992
  • Firstpage
    243
  • Abstract
    A property of a constant scaling matrix for μ-synthesis is clarified for a state feedback case. The property of a set of constant scaling matrices for which the H∞ norm can be made less than γ by state feedback is examined. The convexity of the set and the uniqueness of the optimal value are shown. An algorithm for determining the optimal value is shown for the case of two uncertainties, and a novel DK-iteration is proposed based on the algorithm
  • Keywords
    control system synthesis; feedback; iterative methods; matrix algebra; optimal control; DK-iteration; H∞ control; constant scaling matrix; control system synthesis; convexity; mu -synthesis; optimal control; state feedback; uncertainties; Computer aided software engineering; Control theory; Design engineering; H infinity control; Optimal control; Riccati equations; Robustness; State feedback; Transfer functions; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
  • Conference_Location
    Tucson, AZ
  • Print_ISBN
    0-7803-0872-7
  • Type

    conf

  • DOI
    10.1109/CDC.1992.371747
  • Filename
    371747
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2418012