Physical interpretation and initialization of the fractional integrator

Author

Maamri, Nezha ; Massinissa, Tari ; Jean-Claude, Trigeassou

Author_Institution

LIAS, Univ. of Poitiers, Poitiers, France

fYear

2014

fDate

23-25 June 2014

Firstpage

1

Lastpage

6

Abstract

The equivalence between the infinite RC transmission line and the fractional order integrator is analyzed in the paper. This equivalence is used to demonstrate that the integrator infinite state model corresponds to the spatial Fourier transform of the RC line diffusive model. A direct consequence is the correspondence between integrator initialization in the time domain and RC line initialization in the spatial domain. Practical integrator initialization can be only approximated: a solution to this basic problem is provided by an observer based technique.

Keywords

Fourier transforms; integrating circuits; observers; RC line diffusive model; RC line initialization; fractional order integrator; infinite RC transmission line; integrator infinite state model; observer based technique; practical integrator initialization; spatial Fourier transform; spatial domain; time domain; Equations; Fourier transforms; History; Mathematical model; Numerical models; Observers; Power transmission lines; Fourier transform; RC transmission line; fractional integrator; fractional observer; infinite state model; initialization;

fLanguage

English

Publisher

ieee

Conference_Titel

Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on

Conference_Location

Catania

Type

conf

DOI

10.1109/ICFDA.2014.6967455

Filename

6967455