• DocumentCode
    1356113
  • Title

    A gradient method for computing the optimal Hinfinity norm

  • Author

    Pandey, P. ; Kenney, C. ; Packard, A. ; Laub, A.J.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
  • Volume
    36
  • Issue
    7
  • fYear
    1991
  • fDate
    7/1/1991 12:00:00 AM
  • Firstpage
    887
  • Lastpage
    890
  • Abstract
    A fast algorithm for computing the optimal Hinfinity norm is presented. The algorithm is based on certain explicit computations of gradients. Examples are given to show that the gradient method is much faster than the bisection method. The gradient method can be used without the upper and lower bound computations. This could be a substantial additional saving because computing these bounds requires the computation of the Hinfinity norm.
  • Keywords
    optimal control; gradient method; lower bound; optimal control; upper bound; Automatic control; Costs; Frequency; Gradient methods; H infinity control; Mathematics; Military computing; Riccati equations; State-space methods; Writing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.85073
  • Filename
    85073
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1356113