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

Sergey Misyurin, German Kreynin, Andrey Nelyubin and Natalia Nosova
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Sergey Misyurin: Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 Mal. Kharitonyevskiy Pereulok, 101990 Moscow, Russia
German Kreynin: Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 Mal. Kharitonyevskiy Pereulok, 101990 Moscow, Russia
Andrey Nelyubin: Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 Mal. Kharitonyevskiy Pereulok, 101990 Moscow, Russia
Natalia Nosova: Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 Mal. Kharitonyevskiy Pereulok, 101990 Moscow, Russia

Mathematics, 2021, vol. 9, issue 22, 1-19

Abstract: 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.

Keywords: dynamics; hydraulic drive; similarity; multicriteria optimization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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