• DocumentCode
    1388859
  • Title

    H2 norm checking for systems with parameter uncertainties

  • Author

    Geng, Zhiyong ; Huang, Lin

  • Author_Institution
    Center for Syst. & Control, Peking Univ., Beijing, China
  • Volume
    45
  • Issue
    8
  • fYear
    2000
  • fDate
    8/1/2000 12:00:00 AM
  • Firstpage
    1519
  • Lastpage
    1522
  • Abstract
    This paper studies the problem of H2 norm checking for a MIMO system with parameter uncertainties. Under the assumptions that the coefficients of the numerator polynomial of the system´s transfer function are multi-affine functions of the uncertain parameter that varies in a convex polytope, and that the coefficients of the denominator polynomial of the system´s transfer function are affine functions of the uncertain parameter which varies in a convex polytope, a vertex checking result is obtained
  • Keywords
    H∞ control; MIMO systems; control system synthesis; multivariable control systems; polynomials; uncertain systems; H2 norm checking; MIMO system; control system design; convex polytope; denominator polynomial coefficients; multi-affine functions; multiaffine functions; numerator polynomial coefficients; parameter uncertainties; transfer function; vertex checking result; Control systems; MIMO; Polynomials; Process design; Robust control; Robust stability; Transfer functions; Uncertain systems; Uncertainty; White noise;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.871763
  • Filename
    871763
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1388859