• DocumentCode
    3078514
  • Title

    Spatial discretization and approximation of distributed feedback loops and inputs

  • Author

    Kannai, Y. ; Kelemen, M. ; Horowitz, Isaac

  • Author_Institution
    Dept. of Math., Weizmann Inst. of Sci., Rehovot, Israel
  • fYear
    1990
  • fDate
    5-7 Dec 1990
  • Firstpage
    373
  • Abstract
    The problem of approximating distributed feedback loops and inputs by discrete (in space) ones is studied in some detail. The proof is based on the Fredholm-Hilbert idea for solving integral equations. The main result gives sufficient conditions on the plant, input, and compensator enabling such an approximation. The result is illustrated by two examples. One of them is a heat equation and another is a (damped) wave equation for which boundary value problems are solved
  • Keywords
    boundary-value problems; distributed parameter systems; feedback; integral equations; Fredholm-Hilbert idea; boundary value problems; distributed feedback loops; distributed inputs; heat equation; integral equations; spatial discretisation; sufficient conditions; wave equation; Boundary conditions; Control systems; Distributed feedback devices; Feedback loop; Integral equations; Laplace equations; Mathematics; Performance evaluation; Sufficient conditions; Time measurement;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/CDC.1990.203617
  • Filename
    203617