Identification of Fractional-Order Dynamical Systems

TL;DR

This paper presents a new method for identifying fractional-order dynamical systems using a discretization approach and transfer characteristic evaluation, validated through experiments on known and laboratory systems.

Contribution

It introduces a novel experimental identification method combining derivatives of transfer characteristics with passive search for fractional-order systems.

Findings

Effective identification on systems with known parameters

Successful application to laboratory object

Validation confirms method's accuracy

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.