Scientific and Technical Journal

ELECTROTECHNIC AND COMPUTER SYSTEMS

ISSN Print 2221-3937
ISSN Online 2221-3805
MODELING AND IDENTIFICATION OF SYSTEMS WITH FRACTIONAL ORDER INTEGRAL AND DIFFERENTIAL
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.Quantity of computational operations in hyper neuron is minimized by one time calculation of fractional integral. Computational accuracy is improved by excluding of circular references.It allowstouse hyper neuron as a built model of such facilities in digital control systems and when combined with the genetic algorithms – for identification of their parameters with high accuracy.

Authors:
Keywords
DOI
10.15276/etks.15.91.2014.9
References
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