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Reconstruction of a Dynamically Distorted Signal Based on the Theory of Optimal Dynamic Measurements

  • INTELLECTUAL CONTROL SYSTEMS, DATA ANALYSIS
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Abstract

We present a new algorithm for processing the results of dynamic measurements in which it is necessary to find the input signal based on the known output or observed signal and the known transfer function of the measuring device. Previously, the authors developed a theory of optimal dynamic measurements in which methods of optimal control theory were successfully used to reconstruct dynamically distorted signals. On model examples, the first numerical algorithms of the theory of optimal dynamic measurements have shown the efficiency of the result in terms of the achieved error with a considerable computation time. The proposed numerical algorithm for solving the problem under study permits one to reduce the computation time more than fivefold. The necessary theoretical information, the general scheme of the algorithm, experimental data, and the results of processing experimental data according to the proposed algorithm are presented.

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Funding

The study was carried out with the financial support of the Ministry of Science and Higher Education of the Russian Federation, State Order no. FENU-2020-0022.

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Authors and Affiliations

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

    A. L. Shestakov, A. A. Zamyshlyaeva, N. A. Manakova & G. A. Sviridyuk

  2. Voronezh State Technical University, Voronezh, 394026, Russia

    A. V. Keller

Authors
  1. A. L. Shestakov
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  2. A. A. Zamyshlyaeva
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  3. N. A. Manakova
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  4. G. A. Sviridyuk
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  5. A. V. Keller
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Corresponding authors

Correspondence to A. L. Shestakov, A. A. Zamyshlyaeva, N. A. Manakova, G. A. Sviridyuk or A. V. Keller.

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Translated by V. Potapchouck

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Shestakov, A.L., Zamyshlyaeva, A.A., Manakova, N.A. et al. Reconstruction of a Dynamically Distorted Signal Based on the Theory of Optimal Dynamic Measurements. Autom Remote Control 82, 2143–2154 (2021). https://doi.org/10.1134/S0005117921120067

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  • DOI: https://doi.org/10.1134/S0005117921120067

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