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Optimal Control of String Vibrations with Nonseparate State Function Conditions at Given Intermediate Instants

  • Nonlinear Systems
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Abstract

An optimal control problem for the string vibration equation with given initial and terminal conditions, nonseparated states at intermediate instants and a performance criterion defined on the entire time interval is considered. This problem is solved using the methods of separation of variables and the theory of optimal control of finite-dimensional systems with nonseparated multipoint intermediate conditions. As an illustrative example of the approach proposed in the paper, an optimal control of string vibrations with given nonlocal deflection values of the string at some intermediate instants is constructed.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    V. R. Barseghyan

  2. Institute of Mechanics, National Academy of Sciences of Armenia, Yerevan, Armenia

    V. R. Barseghyan

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  1. V. R. Barseghyan
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Correspondence to V. R. Barseghyan.

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This paper was recommended for publication by A.L. Fradkov, a member of the Editorial Board

Russian Text © The Author(s), 2020, published in Avtomatika i Telemekhanika, 2020, No. 2, pp. 36–47.

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Barseghyan, V.R. Optimal Control of String Vibrations with Nonseparate State Function Conditions at Given Intermediate Instants. Autom Remote Control 81, 226–235 (2020). https://doi.org/10.1134/S0005117920020034

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  • DOI: https://doi.org/10.1134/S0005117920020034

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