• DocumentCode
    1518190
  • Title

    Optimal solution and approximation to the l1/H∞ control problem

  • Author

    Rotstein, Héctor ; Shklyar, Benzion

  • Author_Institution
    Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
  • Volume
    44
  • Issue
    6
  • fYear
    1999
  • fDate
    6/1/1999 12:00:00 AM
  • Firstpage
    1240
  • Lastpage
    1243
  • Abstract
    This paper addresses the l1/H∞ optimal control problem for a system described by linear time-invariant finite dimensional discrete-time equations. It is shown that a solution to this problem exists and can be approximated arbitrarily by real-rational transfer matrices. Perhaps more interesting from a computational point of view, a bound on the order of a δ-suboptimal solution is also given
  • Keywords
    H∞ control; approximation theory; discrete time systems; multidimensional systems; transfer function matrices; δ-suboptimal solution order bound; H∞ optimal control; LTI system; l1 optimal control; linear time-invariant finite dimensional discrete-time equations; optimal approximation; real-rational transfer matrices; Computer science; Constraint optimization; Control systems; Equations; Gallium nitride; Mathematics; Optimal control; Robust control; Time domain analysis; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.769382
  • Filename
    769382
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1518190