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Avtomatika i Telemekhanika, 2021, Issue 1, Pages 55–67
DOI: https://doi.org/10.31857/S0005231021010025 (Mi at15542) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Linear Systems

Numerical optimal measurement algorithm under distortions caused by inertia, resonances, and sensor degradation

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

South Ural State University, Chelyabinsk, 454080 Russia
Full-text PDF (244 kB) Citations (11)
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DOI: https://doi.org/10.31857/S0005231021010025
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.
Keywords: approximations of optimal measurement, Leontief type system, degenerate matrix flow, quadratic functional, optimal control problem, gradient descent method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FENU-2020-0022 (2020072ГЗ)
This work was supported by the Ministry for Science and Higher Education of the Russian Federation, grant no. FENU-2020-0022 (2020072GZ).
Presented by the member of Editorial Board: A. I. Kibzun

Received: 30.07.2020
Revised: 03.09.2020
Accepted: 10.09.2020
English version:
Automation and Remote Control, 2021, Volume 82, Issue 1, Pages 41–50
DOI: https://doi.org/10.1134/S0005117921010021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Shestakov, S. A. Zagrebina, N. A. Manakova, M. A. Sagadeeva, G. A. Sviridyuk, “Numerical optimal measurement algorithm under distortions caused by inertia, resonances, and sensor degradation”, Avtomat. i Telemekh., 2021, no. 1, 55–67; Autom. Remote Control, 82:1 (2021), 41–50
Citation in format AMSBIB
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\pages 55--67
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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