Identification of Fractional-Order Dynamical Systems

Details Identification of Fractional-Order Dynamical Systems Identification of Fractional-Order Dynamical Systems

2002-04-15

arxiv.org/abs/math/0204187v1

12th International Conference on Process Control and Simulation ASRTP'96, September 10.-13. 1996, Kosice, Slovak Republic, Vol

Mathematics

Optimization and Control

LaTeX v.2e, 7 pages, 4 figures

Scientific paper

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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