• DocumentCode
    700880
  • Title

    Perturbation analysis of the H∞ control problem

  • Author

    Konstantinen, M. ; Petkov, P. ; Kawelke, J. ; Gu, D. ; Postlethwaite, I.

  • Author_Institution
    Eng. Dept., Leicester Univ. Leicester, Leicester, UK
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    2670
  • Lastpage
    2674
  • Abstract
    Perturbation bounds for the H∞ control problem are derived. Both linear local (asymptotic) and nonlinear nonlocal bounds are given. The linear bounds are obtained in terms of condition numbers on the basis of the Fréchet derivatives of the left-hand side of the corresponding Placcati equation. The nonlinear bounds are obtained after rewriting the perturbation problem as an operator equation (with nonunique solution) and applying the Brouwer fixed point principle.
  • Keywords
    H∞ control; linear systems; nonlinear control systems; perturbation techniques; Brouwer fixed point principle; Fréchet derivatives; H∞ control problem; Placcati equation; linear local bounds; nonlinear nonlocal bounds; perturbation analysis; Bismuth; Manganese; Matrices; Perturbation methods; Riccati equations; Sensitivity analysis; Transfer functions; Conditioning; H∞ control; Perturbation analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7082511
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=700880