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Identification of Fractional-Order Dynamical Systems

L. Dorcak·V. Lesko·I. Kostial
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Abstract

This contribution deals with identification of fractional-order dynamical systems. We consider systems whose mathematical description is a three-member differential equation in which the orders of derivatives can be real numbers. We give a discretization method and a numerical solution of differential equations of this type. An experimental method of identification is given which is based on evaluation of transfer characteristics. This is a combination of the method of derivatives of transfer characteristics and of the method of passive search. The verification was performed on systems with known parameters and also on a laboratory object.

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L. Dorcak, V. Lesko, I. Kostial. 2002-04-15. Identification of Fractional-Order Dynamical Systems. https://arxiv.org/abs/math/0204187

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