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Rational Function Approximation of aFundamental Fractional Order TransferFunction

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The Second International Conference on Electrical Engineering and Control Applications (ICEECA2014) 2014

Rational Function Approximation of a Fundamental Fractional Order Transfer

Function

Djamel BOUCHERMA, Abdelfatah Charef, Hassene NEZZARI

Abstract : This paper introduces a rational function approximation of the fractional order transfer function . H(s)=(?0s)?/(1+(?0s)2?

)This fractional order transfer function is one of the fundamental functions of the linear fractional system of commensurate order corresponding to pure complex conjugate poles or eigenvalues, in s?. Hence, the proposed approximation will be used in the solution of the linear fractional systems of commensurate order. Illustrative examples are given to show the exactitude and the efficiency of the approximation method.

Keywords : Fractional power zero, linear fractional system, irrational transfer function, rational transfer function

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