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

Author

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  • Sergey Misyurin

    (Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 Mal. Kharitonyevskiy Pereulok, 101990 Moscow, Russia
    Moscow Engineering Physics Institute, National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, 115409 Moscow, Russia
    These authors contributed equally to this work.)

  • German Kreynin

    (Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 Mal. Kharitonyevskiy Pereulok, 101990 Moscow, Russia
    These authors contributed equally to this work.)

  • Andrey Nelyubin

    (Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 Mal. Kharitonyevskiy Pereulok, 101990 Moscow, Russia
    These authors contributed equally to this work.)

  • Natalia Nosova

    (Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4 Mal. Kharitonyevskiy Pereulok, 101990 Moscow, Russia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Sergey Misyurin & German Kreynin & Andrey Nelyubin & Natalia Nosova, 2021. "Multicriteria Optimization of a Dynamic System by Methods of the Theories of Similarity and Criteria Importance," Mathematics, MDPI, vol. 9(22), pages 1-19, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2854-:d:676464
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    References listed on IDEAS

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    1. Podinovskii, Vladislav V., 1994. "Criteria importance theory," Mathematical Social Sciences, Elsevier, vol. 27(3), pages 237-252, June.
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