• DocumentCode
    1409210
  • Title

    Hierarchical optimization in H∞

  • Author

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

  • Author_Institution
    Dept. of Electron. & Electr. Eng., Leeds Univ., UK
  • Volume
    43
  • Issue
    8
  • fYear
    1998
  • fDate
    8/1/1998 12:00:00 AM
  • Firstpage
    1123
  • Lastpage
    1128
  • Abstract
    This paper considers a hierarchical optimal control problem which involves an optimal H∞-norm cost in the primary problem and an H∞-norm type or a quadratic secondary objective. Using allpass dilation techniques and results from superoptimal interpolation theory, it is shown that the problem can be reduced to a multidisk minimization in terms of a free parameter of reduced dimensions. Convex programming techniques may then be employed to obtain a numerical solution to the problem
  • Keywords
    H∞ control; convex programming; hierarchical systems; interpolation; minimisation; allpass dilation techniques; convex programming; hierarchical optimal control problem; multidisk minimization; optimal H∞-norm cost; quadratic secondary objective; reduced dimensions; superoptimal interpolation theory; Cost function; Design optimization; Interpolation; Linearity; Optimal control; Optimization methods; Robust control; Robust stability; Systems engineering and theory;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.704986
  • Filename
    704986
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1409210