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Developing a Model for a Modulating Mirror Fixed on Active Supports: Stochastic Model

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Cybernetics and Systems Analysis Aims and scope

Abstract

The paper proposes a stochastic version of the problem of modulating a mirror fixed on active supports. It is assumed that the mirror has several defects of elliptical form with stochastic parameters. The problem is to find the controls that provide the best approximation of a given shape and phase of the mirror oscillation taking into consideration defects with random geometric and mechanical characteristics. It is supposed that the system works inappropriately (i.e., “fails”) if the phase or amplitude deviates from the target more than some specified threshold. To minimize the risk of such deviation, Buffered Probability of Exceedance (bPOE) is used as a measure of risk.

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    G. Zrazhevsky

  2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute, Kyiv, Ukraine

    V. Zrazhevska

  3. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    O. Golodnikov

Authors
  1. G. Zrazhevsky
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  2. V. Zrazhevska
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  3. O. Golodnikov
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Corresponding author

Correspondence to G. Zrazhevsky.

Additional information

This paper presents the results obtained in the project “Application of Buffered Probability of Exceedance (bPOE) to Structural Reliability Problems” supported by the European Office of Aerospace Research and Development, Grant EOARD #16IOE094.

Translated from Kibernetyka ta Systemnyi Analiz, No. 1, January–February, 2023, pp. 116–123.

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Zrazhevsky, G., Zrazhevska, V. & Golodnikov, O. Developing a Model for a Modulating Mirror Fixed on Active Supports: Stochastic Model. Cybern Syst Anal 59, 101–107 (2023). https://doi.org/10.1007/s10559-023-00546-6

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  • DOI: https://doi.org/10.1007/s10559-023-00546-6

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