• DocumentCode
    1806453
  • Title

    A global optimization approach for the H2-norm model reduction problem

  • Author

    Assunção, Edvaldo ; Peres, Pedro L D

  • Author_Institution
    DEE/FEIS/UNESP, Paulista State Univ., Brazil
  • Volume
    2
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    1857
  • Abstract
    A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous-time linear systems, with conditions assuring convergence to the global optimum in finite time. The lower and upper bounds used in the optimization procedure are obtained through linear matrix inequalities formulations. Examples illustrate the results
  • Keywords
    continuous time systems; convergence; linear systems; matrix algebra; optimisation; reduced order systems; state-space methods; tree searching; H2-norm model reduction problem; branch and bound algorithm; continuous-time linear systems; global optimization approach; global optimum; linear matrix inequalities; lower bounds; upper bounds; Analytical models; Control design; Convergence; Electronic mail; Iterative algorithms; Linear matrix inequalities; Linear systems; Reduced order systems; State-space methods; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
  • Conference_Location
    Phoenix, AZ
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-5250-5
  • Type

    conf

  • DOI
    10.1109/CDC.1999.830904
  • Filename
    830904