• DocumentCode
    2846137
  • Title

    Hierarchical optimisation in ℋ∞

  • Author

    Halikias, G.D. ; Jaimoukha, I.M.

  • Author_Institution
    Dept. of Electron. & Electr. Eng., Leeds Univ., UK
  • Volume
    4
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    3664
  • Abstract
    In this paper an hierarchical optimal central problem is considered, which involves an ℋ∞ cost in the primary problem and an ℋ∞-norm type or a quadratic secondary objective. Using an allpass dilation technique and results from superoptimal interpolation theory, it is shown that the problem can be reduced to a multi-disk minimisation in terms of a free parameter of reduced dimensions. At this stage, convex programming techniques may be employed to obtain a numerical solution to the problem
  • Keywords
    H∞ control; H∞ optimisation; convex programming; hierarchical systems; interpolation; nonlinear programming; H∞ control; H∞ optimisation; allpass dilation; convex programming; hierarchical optimisation; multi-disk minimisation; quadratic secondary objective; superoptimal interpolation; Cost function; Design optimization; Educational institutions; Functional programming; H infinity control; Interpolation; Linear programming; Optimal control; Systems engineering and theory; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.479160
  • Filename
    479160
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2846137