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Numerical Optimal Measurement Algorithm under Distortions Caused by Inertia, Resonances, and Sensor Degradation

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Abstract

The optimal measurement problem is the problem of minimizing the difference between virtual observation values obtained by using a computational model and experimental data. The study of this problem splits into three parts, namely, a mathematical model of optimal measurements, algorithms for the numerical analysis of this model, and software to implement these algorithms. Here we describe the first two parts. We also describe a mathematical optimal measurement model in the presence of various kinds of interferences and an approximation of the optimal measurement and prove that these approximations converge to the precise optimal measurement. A numerical algorithm for determining approximations of the optimal measurement is described.

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Funding

This work was supported by the Ministry for Science and Higher Education of the Russian Federation, grant no. FENU-2020-0022 (2020072GZ).

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Authors and Affiliations

  1. South Ural State University, Chelyabinsk, 454080, Russia

    A. L. Shestakov, S. A. Zagrebina, N. A. Manakova, M. A. Sagadeeva & G. A. Sviridyuk

Authors
  1. A. L. Shestakov
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  2. S. A. Zagrebina
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  3. N. A. Manakova
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  4. M. A. Sagadeeva
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  5. G. A. Sviridyuk
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Corresponding authors

Correspondence to A. L. Shestakov, S. A. Zagrebina, N. A. Manakova, M. A. Sagadeeva or G. A. Sviridyuk.

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Translated by V. Potapchouck

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Shestakov, A.L., Zagrebina, S.A., Manakova, N.A. et al. Numerical Optimal Measurement Algorithm under Distortions Caused by Inertia, Resonances, and Sensor Degradation. Autom Remote Control 82, 41–50 (2021). https://doi.org/10.1134/S0005117921010021

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  • DOI: https://doi.org/10.1134/S0005117921010021

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