• DocumentCode
    700432
  • Title

    Information lower bounds for discrete nonlinear adaptive control problem: Nonparametric uncertainty

  • Author

    Juditsky, A.B. ; Nazin, A.V.

  • Author_Institution
    INRIA Rhone-Alpes, Montbonnot Saint Martin, France
  • fYear
    1997
  • fDate
    1-7 July 1997
  • Firstpage
    66
  • Lastpage
    69
  • Abstract
    We consider the minimum variance adaptive control problem for a discrete nonlinear plant. The uncertainty is described by Hölder class of functions. We prove information inequalities which provide asymptotic minimax lower bounds for mean-square control error. The bounds are shown to be tight for the case of Gaussian disturbances.
  • Keywords
    Gaussian processes; adaptive control; discrete systems; mean square error methods; minimax techniques; nonlinear control systems; Gaussian disturbances; Hölder function class; asymptotic minimax lower bounds; discrete nonlinear adaptive control problem; discrete nonlinear plant; information lower bounds; mean-square control error; minimum variance adaptive control problem; nonparametric uncertainty; Adaptive control; Approximation algorithms; Convergence; Least squares approximations; Process control; Uncertainty; adaptive; discrete time; stochastic;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 1997 European
  • Conference_Location
    Brussels
  • Print_ISBN
    978-3-9524269-0-6
  • Type

    conf

  • Filename
    7081909
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=700432