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Elektrotechnika

Elektrotechnika
34(3/2015), DOI: 10.7862/re.2015.29

Modeling and identification of systems with fractional order integral an differential

Victor Busher, Victorija Yarmolovich

DOI: 10.7862/re.2015.29

Abstract

A universal model of fractional-order differential equation is proposed. It is derived in form hyper neuron, based on a representation of the solution of the equation by finite increments and a modified form of the Riemann-Liouville. Implemented method for identifying parameters of objects by fractional differential equations is described on the base hyper neuron and modified genetic algorithms. Accuracy of calculations is incased due to excluding of circular references and dynamic correction of the fractional integration error. This allows to use hyper neuron as inlined model of such objects in the digital control systems and in conjunction with genetic algorithm it is used for the identification of their parameters with high accuracy. 

Full text (pdf)

References

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[2] Busher V. V. The model of system with fractional integral and fractional differential in SIMULINK, (2011), Elektromekhanichni i enerhozberihayuchi systemy Publ., Kremenchuk, Vol. 4/2011, pp.138–142 (In Russian). http://archive.mdct.ru/portal/natural/Ees/2011_4/140.pdf

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About this Article

TITLE:
Modeling and identification of systems with fractional order integral an differential

AUTHORS:
Victor Busher (1)
Victorija Yarmolovich (2)

AUTHORS AFFILIATIONS:
(1) Department  EMSKU Odessa National Polytechnic University, Shevchenko Avenue, Odessa 65044
(2) Department TOOE Odessa National Polytechnic University

JOURNAL:
Elektrotechnika
34(3/2015)

KEY WORDS AND PHRASES:
fractional differential, fractional integral, hyper neuron, genetic algorithms, parameter identification

FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/elektrotechnika/60

DOI:
10.7862/re.2015.29

URL:
http://dx.doi.org/10.7862/re.2015.29

RECEIVED:
2015-05-11

COPYRIGHT:
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