Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei

Solving the problem of improving efficiency of technological processes of mineral concentration is one of the essential for providing sustainability of mining enterprises. Currently, special attention is paid to optimization of technological processes in concentration of useful minerals. This approa...

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Main Authors:	Morkun Natalia, Zavsiehdashnia Iryna, Serdiuk Oleksandra, Kasatkina Iryna
Format:	Article
Language:	English
Published:	EDP Sciences 2020-01-01
Series:	E3S Web of Conferences
Online Access:	https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/61/e3sconf_usme2020_01028.pdf

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spelling	doaj-221a77a9aa1e4429852cdc17ee37e65f2021-04-02T12:53:16ZengEDP SciencesE3S Web of Conferences2267-12422020-01-012010102810.1051/e3sconf/202020101028e3sconf_usme2020_01028Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nucleiMorkun Natalia0Zavsiehdashnia Iryna1Serdiuk Oleksandra2Kasatkina Iryna3Kryvyi Rih National University, Department of Automation, Computer Sciences and TechnologyKryvyi Rih National University, Department of Automation, Computer Sciences and TechnologyKryvyi Rih National University, Department of Automation, Computer Sciences and TechnologyKryvyi Rih National University, Department of Automation, Computer Sciences and TechnologySolving the problem of improving efficiency of technological processes of mineral concentration is one of the essential for providing sustainability of mining enterprises. Currently, special attention is paid to optimization of technological processes in concentration of useful minerals. This approach calls for availability of high-quality data on the process, formation of corresponding databases and their subsequent processing to build adequate and efficient mathematical models of processes and systems. In order to improve quality of mathematical description of forming fractional characteristics of ore through applying technological aggregates in concentration, the authors suggest using power Volterra series that provide characteristics of a controlled object (its condition) as a sequence of multidimensional weight functions invariant to the type of an input signal – Volterra nuclei. Application of Volterra structures enables decreasing the modelling error to 0.039 under the root-mean-square error of 0.0594.https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/61/e3sconf_usme2020_01028.pdf
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Morkun Natalia Zavsiehdashnia Iryna Serdiuk Oleksandra Kasatkina Iryna
spellingShingle	Morkun Natalia Zavsiehdashnia Iryna Serdiuk Oleksandra Kasatkina Iryna Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei E3S Web of Conferences
author_facet	Morkun Natalia Zavsiehdashnia Iryna Serdiuk Oleksandra Kasatkina Iryna
author_sort	Morkun Natalia
title	Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei
title_short	Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei
title_full	Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei
title_fullStr	Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei
title_full_unstemmed	Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei
title_sort	identification of models of nonlinear dynamic processes in mining on the basis of volterra nuclei
publisher	EDP Sciences
series	E3S Web of Conferences
issn	2267-1242
publishDate	2020-01-01
description	Solving the problem of improving efficiency of technological processes of mineral concentration is one of the essential for providing sustainability of mining enterprises. Currently, special attention is paid to optimization of technological processes in concentration of useful minerals. This approach calls for availability of high-quality data on the process, formation of corresponding databases and their subsequent processing to build adequate and efficient mathematical models of processes and systems. In order to improve quality of mathematical description of forming fractional characteristics of ore through applying technological aggregates in concentration, the authors suggest using power Volterra series that provide characteristics of a controlled object (its condition) as a sequence of multidimensional weight functions invariant to the type of an input signal – Volterra nuclei. Application of Volterra structures enables decreasing the modelling error to 0.039 under the root-mean-square error of 0.0594.
url	https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/61/e3sconf_usme2020_01028.pdf
work_keys_str_mv	AT morkunnatalia identificationofmodelsofnonlineardynamicprocessesinminingonthebasisofvolterranuclei AT zavsiehdashniairyna identificationofmodelsofnonlineardynamicprocessesinminingonthebasisofvolterranuclei AT serdiukoleksandra identificationofmodelsofnonlineardynamicprocessesinminingonthebasisofvolterranuclei AT kasatkinairyna identificationofmodelsofnonlineardynamicprocessesinminingonthebasisofvolterranuclei
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Identification of models of nonlinear dynamic processes in mining on the basis of Volterra nuclei

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