• DocumentCode
    1395509
  • Title

    Bounded real lemma and H∞ control for descriptor systems

  • Author

    Wang, H.-S. ; Yung, C.F. ; Chang, F.R.

  • Author_Institution
    Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
  • Volume
    145
  • Issue
    3
  • fYear
    1998
  • fDate
    5/1/1998 12:00:00 AM
  • Firstpage
    316
  • Lastpage
    322
  • Abstract
    In this paper, the H∞ control problem for descriptor systems is studied. Necessary and sufficient conditions are derived for the solution to this problem, expressed in terms of two generalised algebraic Riccati equations which may be considered to be the generalisations of the Riccati equations obtained by Doyle et al. (1989). When these conditions hold, state space formulae for a controller solving the problem is also given. The approach used in this paper is based on a generalised version of bounded real lemma, thus the proofs given are simple
  • Keywords
    H∞ control; Riccati equations; nonlinear equations; state-space methods; H∞ control; bounded real lemma; descriptor systems; generalised algebraic Riccati equations; necessary and sufficient conditions; state space formulae;
  • fLanguage
    English
  • Journal_Title
    Control Theory and Applications, IEE Proceedings -
  • Publisher
    iet
  • ISSN
    1350-2379
  • Type

    jour

  • DOI
    10.1049/ip-cta:19982048
  • Filename
    685465
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1395509