• DocumentCode
    3304001
  • Title

    Solving discrete algebraic Riccati equations: A new recursive method

  • Author

    Feng, Yantao ; Anderson, Brian D O ; Chen, Weitian

  • fYear
    2009
  • fDate
    15-18 Dec. 2009
  • Firstpage
    1720
  • Lastpage
    1724
  • Abstract
    In this paper, an iterative algorithm is proposed to solve discrete time algebraic Riccati equations (DARE) with a sign indefinite quadratic term, which arise from linear discrete time H¿ control. By constructing two positive semidefinite matrix sequences, we obtain the stabilizing solution of the given DARE. The algorithm has a global convergence property.
  • Keywords
    H¿ control; Riccati equations; discrete time systems; linear systems; recursive estimation; discrete time algebraic Riccati equations; global convergence property; linear discrete time H¿ control; recursive method; semideflnite matrix sequences; sign indefinite quadratic term; Convergence of numerical methods; Difference equations; Eigenvalues and eigenfunctions; Game theory; Hydrogen; Iterative algorithms; Nonlinear equations; Riccati equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
  • Conference_Location
    Shanghai
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3871-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2009.5400097
  • Filename
    5400097