• DocumentCode
    2021990
  • Title

    Mixed H2/H∞ control problem for descriptor systems via LMI

  • Author

    Sato, Kazuya ; Oya, Masahiro ; Kobayashi, Toshihiro

  • Author_Institution
    Saga Univ., Japan
  • Volume
    1
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    205
  • Abstract
    This paper considers the mixed H2/H∞ control problem for descriptor systems. First, we show the H2 and H∞ norms for descriptor systems. We define the mixed H2/H∞ performance cost subject to a constraint on the H∞ norm. We also show that the mixed H2/H∞ performance cost over all static descriptor variable feedback controllers can not be improved by the use of dynamic controllers. Besides, we show that the appropriate feedback gains can be obtained by solving LMI
  • Keywords
    H∞ control; Lyapunov methods; feedback; linear systems; matrix algebra; multidimensional systems; H∞ norm; LMI; descriptor systems; feedback gains; linear matrix inequalities; mixed H2/H∞ control problem; performance cost; variable feedback controllers; Constraint optimization; Control systems; Cost function; Hydrogen; Performance loss; Riccati equations; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.650616
  • Filename
    650616
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2021990