Analog Modeling of Fractional Switched Order Derivative Using Different Switching Schemes

Author

Sierociuk, Dominik ; Macias, Michal ; Malesza, Wiktor

Author_Institution

Inst. of Control & Ind. Electron., Warsaw Univ. of Technol., Warsaw, Poland

Volume

3

Issue

3

fYear

2013

fDate

Sept. 2013

Firstpage

394

Lastpage

403

Abstract

The paper presents comparison of two different switching schemes of variable order derivatives. The first one is additive-switching scheme, when change of order is caused by adding a derivative at the beginning of the system. The second one, introduced in this paper, is reductive-switching scheme, when change of order is caused by removing a derivative at the beginning of the system. For both methods numerical schemes are given and analyzed. Based on presented switching schemes results of analog modeling are presented. Results were obtained using analog approximations of integrators of orders 0.5 and 0.25. Finally, results of analog modeling were compared with numerical approach.

Keywords

analogue integrated circuits; approximation theory; integrated circuit modelling; matrix algebra; additive-switching scheme; analog integrator approximations; analog modeling; fractional switched order derivative; numerical approach; reductive-switching scheme; Approximation methods; Fractional calculus; Numerical models; Signal processing algorithms; Switches; Switching circuits; Analog realization; fractional calculus; fractional order integrators; variable order differentiation;

fLanguage

English

Journal_Title

Emerging and Selected Topics in Circuits and Systems, IEEE Journal on

Publisher

ieee

ISSN

2156-3357

Type

jour

DOI

10.1109/JETCAS.2013.2273281

Filename

6566186