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
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;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2012.2205920
