• DocumentCode
    1662186
  • Title

    On the solution of a Hamilton-Jacobi type equation in nonlinear discrete-time H∞-control

  • Author

    Guillard, H. ; Monaco, S. ; Normand-Cyrot, D.

  • Author_Institution
    Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France
  • Volume
    2
  • fYear
    1994
  • Firstpage
    1406
  • Abstract
    The subject of this paper is to show that there exists a smooth solution to the Hamilton-Jacobi type equation arising in nonlinear discrete-time H∞-control provided that a solution to the Riccati equation associated to the linear approximated problem is available. An approximated solution of the Hamilton-Jacobi type equation can be then iteratively computed making use of algebraic expansions
  • Keywords
    H∞ control; algebra; discrete time systems; iterative methods; nonlinear control systems; Hamilton-Jacobi type equation; algebraic expansions; nonlinear discrete-time H∞-control; smooth solution; Control systems; Ear; Feedback; Jacobian matrices; Linear approximation; Nonlinear control systems; Nonlinear equations; Polynomials; Riccati equations; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
  • Conference_Location
    Lake Buena Vista, FL
  • Print_ISBN
    0-7803-1968-0
  • Type

    conf

  • DOI
    10.1109/CDC.1994.411251
  • Filename
    411251
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1662186