Identification of Fractional-Order Dynamical Systems

2002/04/15 by L. Dorcak, V. Lesko, I. Kostial
Mathematics · #math.OC #msc:26A33 #msc:93C55 #msc:65D25 #msc:93C05

paper · pdf

published as 12th International Conference on Process Control and Simulation ASRTP'96, September 10.-13. 1996, Kosice, Slovak Republic, Volume I, pp. 62-68, ISBN 80-7099-263-8 · LaTeX v.2e, 7 pages, 4 figures

arxiv created 2002/04/15 · arxiv updated 2009/11/30

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.

Related

• An Algebraic Approach for Identification of Linear Systems with Fractional Derivatives
• An inverse problem of determining the orders of systems of fractional pseudo-differential equations
• A Sampling Complexity-aware Framework for Discrete-time Fractional-Order Dynamical System Identification
• Model-order reduction of lumped parameter systems via fractional calculus
• Numerical Models for the Simulation of the Fractional-Order Control Systems