• DocumentCode
    1547925
  • Title

    Identification of Parameters of a Half-Order System

  • Author

    Petras, Ivo ; Sierociuk, Dominik ; Podlubny, Igor

  • Author_Institution
    BERG Fac., Tech. Univ. of Kosice, Kosice, Slovakia
  • Volume
    60
  • Issue
    10
  • fYear
    2012
  • Firstpage
    5561
  • Lastpage
    5566
  • Abstract
    This correspondence presents the half-order system behavior and its parameter identification. The identification is based on fitting the measured data using the Mittag-Leffler function. The data were collected for a discharge of a half-order system. The values of parameters obtained by a new identification method are in good agreement with the calculated interval for theoretical values, which takes into account the manufacturing tolerances of the used electrical elements.
  • Keywords
    ladder networks; partial differential equations; Mittag-Leffler function; electrical elements; fractional partial differential equations; half-order system parameter identification; ladder circuit; manufacturing tolerances; theoretical values; Application software; Approximation methods; Capacitors; Differential equations; Impedance; Mathematical model; Resistors; Domino ladder; Mittag-Leffler function; fractance; fractional calculus; fractional integrator; half-order system;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/TSP.2012.2205920
  • Filename
    6225451