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Linear Fractional Order System Identificationusing Adjustable Fractional Order Differentiator

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IET Signal Processing

2013, Pages 1-12

Linear Fractional Order System Identification using Adjustable Fractional Order Differentiator

D. Idiou, A. Charef, A .Djouambi

Abstract: In previous decades, it has been observed that many physical systems are well characterised by fractional order models.

Hence, their identi?cation is attracting more and more interest of the scienti?c community. However, they pose a more dif?cult identi?cation problem, which requires not only the estimation of model coef?cients but also the determination of fractional orders with the tedious calculation of fractional order derivatives. This study focuses on an identi?cation scheme, in the time domain, of dynamic systems described by linear fractional order differential equations. The proposed identi?cation method is based on the recursive least squares algorithm applied to an ARX structure derived from the linear fractional order differential equation using adjustable fractional order differentiators. The basic ideas and the derived formulations of the identi?cation scheme are presented.

Illustrative examples are presented to validate the proposed linear fractional order system identification approach.

Keywords : Adjustable fractional order differentiator, Least squares method, Linear fractional differential equation, Recursive identification.

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