Optimal boundary control of string oscillations by displacement at two ends with specified values of deflection function at intermediate moments of time

Authors

  • Vanya R. Barseghyan Institute of Mechanics of the National Academy of Sciences of the Republic of Armenia, 24B, Marshal Baghramyan pr., Yerevan, 0019, Armenia; Yerevan State University, 1, ul. Alec Manukyan, Yerevan, 0025, Armenia https://orcid.org/0000-0001-6518-3694

DOI:

https://doi.org/10.21638/11701/spbu10.2022.310

Abstract

We consider the problem of optimal boundary control for the equation of string vibrations with given initial, final conditions and given values of the string deflection function at intermediate moments of time and with a quality criterion specified over the entire time interval. Using the method of separation of variables and methods of optimal control theory with multipoint intermediate conditions, optimal boundary controls are constructed for arbitrary numbers of the first harmonics. As an application of the proposed constructive approach, a boundary optimal control is built with a given string deflection function at an intermediate moment of time.

Keywords:

string vibrations, optimal boundary control, optimal vibration control, intermediate conditions, variables separation

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References

Литература

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Published

2022-09-29

How to Cite

Barseghyan, V. R. (2022). Optimal boundary control of string oscillations by displacement at two ends with specified values of deflection function at intermediate moments of time. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 18(3), 410–424. https://doi.org/10.21638/11701/spbu10.2022.310

Issue

Vol. 18 No. 3 (2022)

Section

Control Processes

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Articles of "Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.