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The Problem of Optimal Control of String Vibrations

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The problem of optimal control of string vibrations with given initial and final conditions, and nonseparated values of derivatives of deflection functions at intermediate moments of time with a performance criterion defined over the whole period is considered. The 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 example of the proposed approach, the effect of optimal string vibration with given nonlocal values of string velocities at two intermediate points of time is constructed.

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Authors and Affiliations

  1. Institute of Mechanics of the National Academy of Sciences of Armenia, 24b Marshal Baghramyan Ave, 0019, Yerevan, Armenia

    V. R. Barsegyan

  2. Yerevan State University, 1 Aleka Manukyan St, 0025, Yerevan, Armenia

    V. R. Barsegyan

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  1. V. R. Barsegyan
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Correspondence to V. R. Barsegyan.

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Translated from Prikladnaya Mekhanika, Vol. 56, No. 4, pp. 87–96, July–August 2020.

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Barsegyan, V.R. The Problem of Optimal Control of String Vibrations. Int Appl Mech 56, 471–480 (2020). https://doi.org/10.1007/s10778-020-01030-w

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  • DOI: https://doi.org/10.1007/s10778-020-01030-w

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