Algerian Journal of Signals and Systems

Algerian Journal of Signals and Systems

Novel Fractional order Integrators Using Traditional Rules Interpolation

Yazarlar: Chafia MEKHNACHE, Nawel BALASKA, Nedjma DETOUCHE

Cilt 5 , Sayı 1 , 2020 , Sayfalar 58-65

Konular:-

DOI:10.51485/ajss.v5i1.97

Anahtar Kelimeler:Digital integrators,Fractional order integrators,Impulse invariant method,Euler-bilinear-Simpson integrator,Steiglitz-Mc-bride

Özet: This work proposes a new IIR integer order digital, so a new IIR fractional order integrators. The followed method includes two stages. First, the integer order integrator is obtained by interpolating well-known integration rulesnamely, Euler, bilinear and Simpsonas a weighted sum. Second the initial value theorem for the selection of initial value of the impulse response is used. Lastlythe Steiglitz-Mc-bride signal modeling technique is applied to find the parameters of rational approximation models. Numerical examples are presented to illustrate the performance of the proposed integrator. It was found that the Euler-bilinear-Simpson integrator yields high accuracy than the existing integrators.

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@article{2020, title={Novel Fractional order Integrators Using Traditional Rules Interpolation}, volume={5}, number={58–65}, publisher={Algerian Journal of Signals and Systems}, author={Chafia MEKHNACHE, Nawel BALASKA, Nedjma DETOUCHE}, year={2020} }
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Chafia MEKHNACHE, Nawel BALASKA, Nedjma DETOUCHE. (2020). Novel Fractional order Integrators Using Traditional Rules Interpolation (Vol. 5). Vol. 5. Algerian Journal of Signals and Systems.
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Chafia MEKHNACHE, Nawel BALASKA, Nedjma DETOUCHE. Novel Fractional Order Integrators Using Traditional Rules Interpolation. no. 58–65, Algerian Journal of Signals and Systems, 2020.
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