Identification of Fractional-Order Dynamical Systems

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.

LaTeX v.2e, 7 pages, 4 figures

References in corpus (1)

• The Laplace Transform Method for Linear Differential Equations of the Fractional Order

Cited by in corpus (6)

• State-Space Controller Design for the Fractional-Order Regulated System
• Fractional-Order State Space Models
• Approximation of a Fractional Order System by an Integer Order Model Using Particle Swarm Optimization Technique
• A Study of the Grunwald-Letnikov Definition for Minimizing the Effects of Random Noise on Fractional Order Differential Equations
• A Novel Approach for Complete Identification of Dynamic Fractional Order Systems Using Stochastic Optimization Algorithms and Fractional Calculus
• A Swarm Intelligence Based Scheme for Complete and Fault-tolerant Identification of a Dynamical Fractional Order Process