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

• Autorzy: Gałek M. , Olczak A.
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Oficyna Wydawnicza Politechniki Opolskiej
• Czasopismo: Zeszyty Naukowe. Elektryka / Politechnika Opolska
• Rocznik: 2016
• Tom: z. 72
• Strony: 19--22
• Opis fizyczny: Bibliogr. 4 poz., rys., tab.

Twórcy

autor

Gałek M.

• Department of Electrical, Control and Computer Engineering Institute of Control and Computer Engineering

autor

Olczak A.

• Department of Electrical, Control and Computer Engineering Institute of Control and Computer Engineering

Bibliografia

• [1] CHEN Y.Q., MOORE K.L.: Discretization Schemes for Fractional-Order Differentiators and Integrators, IEEE Transactions on Circuits and Systems, Fundamental Theory and Applications, Vol. 49, No 3, March 2002.
• [2] CHEN Y.Q., VINAGRE B.M., PODLUBNY I.: Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives – an Expository Review Nonlinear Dynamics, No 38, pp 155–170, 2004.
• [3] STANISŁAWSKI R., LATAWIEC K.J., ŁUKANISZYN M.: A Comparative Analysis of Laguerre-Based Approximators to the Grünwald-Letnikov Fractional-Order Difference, Mathematical Problems in Engineering, March 2015.
• [4] VINAGRE B.M., CHEN Y.Q., PETRÁŠ I.: Two direct Tustin discretization methods for fractional-order differentiator/integrator, Journal of the Franklin Institute, Engineering and Applied Mathematics, Vol. 340, No 5, pp 349–362, 2003.