• DocumentCode
    404555
  • Title

    A simple derivation of ARE solutions to the standard H∞control problem based on LMI solution

  • Author

    Liu, Kang-Zhi ; He, Rong

  • Author_Institution
    Dept. of Electr. & Mech. Eng., Chiba Univ., Japan
  • Volume
    2
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    1723
  • Abstract
    In this paper, a simple derivation of the Riccati equation based solutions to the standard H∞ control problem, namely the well-known Glover-Doyle solution and DGKF solution is given based on LMI solution. It is hoped that this will be helpful for ordinary control engineers in deepening the understanding of Riccati equation solutions.
  • Keywords
    H∞ control; Riccati equations; linear matrix inequalities; H∞control; LMI solution; Riccati equation; linear matrix inequalities; Bismuth; Controllability; Linear matrix inequalities; Matrix decomposition; Observability; Riccati equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272861
  • Filename
    1272861
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404555