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This paper presents new results in simulation analysis of Al-Alaloui-based discretization scheme for fractional-order derivative. The analysis is performed both in frequency and time domains. A series of simulation analyses provide to formulation of some implementation highlights related to approximation of fractional-order derivative with the Al-Alaloui operator.
This paper presents a new method for modeling and identification of a simple electric circuit described by fractional-order differential equation. The Grunwald-Letnikov fractional-order derivative is approximated by its effective discrete-time model based on Laguerre filters, giving rise to a new discrete-time integer-order equation modeling the considered electric circuit. High accuracy of modeling...
This paper presents a new concept of modeling of LTI SISO discrete-time fractional-order systems, in which the Laguerre filters are employed to model both 1) the Grünwald-Letnikov fractional difference and 2) a dynamics of the LTI SISO fractional-order system. Such a ‘double-Laguerre’ concept yields original accuracy and computational results at both modeling stages, illustrated with a series of simulation...
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