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3 Zeszyty Naukowe. Elektryka / Politechnika Opolska

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A comparative analysis of Tustin-based discretizers for fractional-order derivative In frequency-domain

Gałek M., Olczak A.

Zeszyty Naukowe. Elektryka / Politechnika Opolska

2016

z. 72

19--22

This paper presents a comparative analysis of two Tustin-based discretization schemes for fractional-order derivative. The first one is based on a continuous fractional expansion (CFE) and the second one is an approximation based on the Tustin-Muir recursive formula.

Modeling of a nonlinear system by a fractional-order OBF-based wiener model

Gałek M.

Zeszyty Naukowe. Elektryka / Politechnika Opolska

2014

z. 70

25-28

This paper presents a new concept of modeling of fractional-order nonlinear systems using a block-oriented Wiener model. The Wiener model uses two block covering a linear dynamics and a static nonlinearity. The dynamic model is described by fractional-order Orthonormal Basis Functions and the static nonlinearity by an artificial neural network.

Frequency Domain Characteristics of Selected Fractional-Order Systems

Gałek M.

Zeszyty Naukowe. Elektryka / Politechnika Opolska

2013

z. 69

21--22

This paper presents frequency domain characteristics of selected fractional-order dynamic systems. There is considered first-order system with various values of a fractional order. A frequency response analysis covers the Bode and Nyquist plots.