• DocumentCode
    1367948
  • Title

    A weighted mixed-sensitivity H∞-control design for irrational transfer matrices

  • Author

    Curtain, Ruth F. ; Zhou, Yishao

  • Author_Institution
    Math. Inst., Groningen Univ., Netherlands
  • Volume
    41
  • Issue
    9
  • fYear
    1996
  • fDate
    9/1/1996 12:00:00 AM
  • Firstpage
    1312
  • Lastpage
    1321
  • Abstract
    Approximate solutions to a weighted mixed-sensitivity H∞-control problem for an irrational transfer matrix are obtained by solving the same problem for a reduced-order (rational) transfer matrix. Upper and lower bounds for the sensitivity are obtained in terms of the sensitivity for the reduced-order model and the approximation error. Moreover, rational suboptimal controllers for the irrational transfer matrix are constructed which achieve a sensitivity close to the minimum
  • Keywords
    H∞ control; approximation theory; reduced order systems; suboptimal control; transfer function matrices; approximation error; irrational transfer matrices; lower bounds; rational suboptimal controllers; reduced-order model; reduced-order transfer matrix; upper bounds; weighted mixed-sensitivity H∞-control design; Convergence of numerical methods; Frequency domain analysis; MIMO; Matrix decomposition; Optimal control; Pervasive computing; Reduced order systems; Riccati equations; Robust control; Writing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.536500
  • Filename
    536500
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1367948