• DocumentCode
    1057176
  • Title

    A two-sided interpolation approach to H∞ optimization problems

  • Author

    Shaked, U.

  • Author_Institution
    Dept. of Electron. Syst., Tel Aviv Univ., Israel
  • Volume
    34
  • Issue
    12
  • fYear
    1989
  • fDate
    12/1/1989 12:00:00 AM
  • Firstpage
    1285
  • Lastpage
    1290
  • Abstract
    A solution to the two-sided interpolation problem which arises in H∞ optimization theory is obtained. This solution is found in closed form, explicitly in terms of the required interpolation directions. It is simple to obtain and it does not require the application of the relatively complicated matrix Pick-Nevanlinna theory. The solution obtained is of minimum order; due to its simplicity, the order reduction, which occurs at the minimum value of the H∞-norm, is clearly explained
  • Keywords
    interpolation; optimisation; H∞ optimization; H∞-norm; order reduction; two-sided interpolation; Closed-form solution; H infinity control; Interpolation; Linear systems; Transfer functions; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.40777
  • Filename
    40777
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1057176