Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance

The problem of multicriteria optimization of a dynamic model is solved using the methods of the similarity theory and the criteria importance theory. The authors propose the original model of a positional system with two hydraulic actuators, synchronously moving a heavy object with a given accuracy....

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Autores principales:	Sergey Misyurin, German Kreynin, Andrey Nelyubin, Natalia Nosova
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	dynamics hydraulic drive similarity multicriteria optimization Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/62ba91b6e8624e9f8a8a7ce3474d63aa
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id	oai:doaj.org-article:62ba91b6e8624e9f8a8a7ce3474d63aa
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spelling	oai:doaj.org-article:62ba91b6e8624e9f8a8a7ce3474d63aa2021-11-25T18:16:38ZMulticriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance10.3390/math92228542227-7390https://doaj.org/article/62ba91b6e8624e9f8a8a7ce3474d63aa2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2854https://doaj.org/toc/2227-7390The problem of multicriteria optimization of a dynamic model is solved using the methods of the similarity theory and the criteria importance theory. The authors propose the original model of a positional system with two hydraulic actuators, synchronously moving a heavy object with a given accuracy. In order to reduce the number of optimizing parameters, the mathematical model of the system is presented in a dimensionless form. Three dimensionless optimization criteria that characterize the accuracy, size, and quality of the dynamic positioning process are considered. It is shown that the application of the criteria importance method significantly reduces the Pareto set (the set of the best solutions). This opens up the possibility of reducing many optimal solutions to one solution, which greatly facilitates the choice of parameters when designing a mechanical object.Sergey MisyurinGerman KreyninAndrey NelyubinNatalia NosovaMDPI AGarticledynamicshydraulic drivesimilaritymulticriteria optimizationMathematicsQA1-939ENMathematics, Vol 9, Iss 2854, p 2854 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	dynamics hydraulic drive similarity multicriteria optimization Mathematics QA1-939
spellingShingle	dynamics hydraulic drive similarity multicriteria optimization Mathematics QA1-939 Sergey Misyurin German Kreynin Andrey Nelyubin Natalia Nosova Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance
description	The problem of multicriteria optimization of a dynamic model is solved using the methods of the similarity theory and the criteria importance theory. The authors propose the original model of a positional system with two hydraulic actuators, synchronously moving a heavy object with a given accuracy. In order to reduce the number of optimizing parameters, the mathematical model of the system is presented in a dimensionless form. Three dimensionless optimization criteria that characterize the accuracy, size, and quality of the dynamic positioning process are considered. It is shown that the application of the criteria importance method significantly reduces the Pareto set (the set of the best solutions). This opens up the possibility of reducing many optimal solutions to one solution, which greatly facilitates the choice of parameters when designing a mechanical object.
format	article
author	Sergey Misyurin German Kreynin Andrey Nelyubin Natalia Nosova
author_facet	Sergey Misyurin German Kreynin Andrey Nelyubin Natalia Nosova
author_sort	Sergey Misyurin
title	Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance
title_short	Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance
title_full	Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance
title_fullStr	Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance
title_full_unstemmed	Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance
title_sort	multicriteria optimization of a dynamic system by methods of the theories of similarity and criteria importance
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/62ba91b6e8624e9f8a8a7ce3474d63aa
work_keys_str_mv	AT sergeymisyurin multicriteriaoptimizationofadynamicsystembymethodsofthetheoriesofsimilarityandcriteriaimportance AT germankreynin multicriteriaoptimizationofadynamicsystembymethodsofthetheoriesofsimilarityandcriteriaimportance AT andreynelyubin multicriteriaoptimizationofadynamicsystembymethodsofthetheoriesofsimilarityandcriteriaimportance AT natalianosova multicriteriaoptimizationofadynamicsystembymethodsofthetheoriesofsimilarityandcriteriaimportance
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Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance

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