• DocumentCode
    3189989
  • Title

    An application of semidefinite programming duality to derive bounds on the H∞ norm of a transfer matrix

  • Author

    Balakrishnan, V. ; Vandenberghe, L.

  • Author_Institution
    Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
  • Volume
    4
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    3629
  • Abstract
    The problem of computing the H∞ norm of a transfer matrix can be reformulated as a semidefinite program (SDP), by considering a certain quadratic optimal control problem for an associated linear time-invariant system. We apply convex duality theory to this SDP to derive new upper and lower bounds for the H∞ norm
  • Keywords
    H∞ control; duality (mathematics); mathematical programming; transfer function matrices; H∞ norm bounds; SDP; convex duality theory; linear time-invariant system; quadratic optimal control; semidefinite programming duality; transfer matrix; Constraint optimization; Constraint theory; Control theory; Ear; Information systems; Internet; Laboratories; Optimal control; Symmetric matrices; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.577176
  • Filename
    577176
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3189989