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MODELING AND IDENTIFICATION OF FRACTIONAL-ORDER DYNAMICAL SYSTEMS

Lbomir Dorcak

First published: 2011-06-20https://doi.org/10.5593/sgem2011/s10.111View metrics

Abstract

One of the most characteristic features of the processes in the area of mining and processing of earth resources is their comple xity. The modern methods of investigation, monitoring and control of these processes utilize approaches ba sed upon modeling of the processes. In this paper we will focu s only on the dynamical processes, where the mathematical models are diffe rential equations. As it results from the last research works, majority of the real objects in ge neral are fractional-order systems. Fractional- order models are more adequate for the description of dynamical systems than integer- order models. But appropriate methods for the numerical calculations of fractional-order differential equations are needed in such cases and also methods for the identification of such systems. In this contribution we de scribe and compare some previous methods used for simulation purposes with the methods based on approximate formulas for numerical inversion of Laplace transforms . The verification a nd comparison will be based mainly on the accuracy and computing time. Also an experimental method of identification is given. The verification of identification method was performed on systems with known parameters.

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Publication details

Title
MODELING AND IDENTIFICATION OF FRACTIONAL-ORDER DYNAMICAL SYSTEMS
Authors
Lbomir Dorcak
Proceedings
SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings; SGEM2011 11th International Multidisciplinary Scientific GeoConference
Publisher
Stef92 Technology
Year
2011
Pages
Not available yet
ISSN
1314-2704
ISBN
Not available yet
Language
en
Publication type
Conference Paper
Keywords
fractional-order dynamic systemmode lingidentificatio noptimizationLaplace inversion
References24

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