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Mobile control of vibrations in systems with distributed parameters

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Abstract

Systems with distributed parameters are considered, which are described by equations of the hyperbolic type. Controls represent distributed actions satisfying definite constraints and mobile actions that are both continuous and pulse excitations (actions). The problem is set out to find an instantly optimal control, i.e., such a control at which the rate of the energy change of the system at each instant takes on the highest value in absolute magnitude. It is proved that the instantly optimal control in the class of distributed controls is the mobile point control applied to the point at which the pulse density of the system reaches the highest value in absolute magnitude. Control algorithms are developed, which make it possible to reduce the amplitude of vibrations of the system and to increase it. Results of the numerical investigations of the developed algorithms are shown.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    V. A. Kubyshkin

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  1. V. A. Kubyshkin
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Original Russian Text © V.A. Kubyshkin, 2011, published in Avtomatika i Telemekhanika, 2011, No. 10, pp. 117–128.

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Kubyshkin, V.A. Mobile control of vibrations in systems with distributed parameters. Autom Remote Control 72, 2112–2122 (2011). https://doi.org/10.1134/S0005117911100109

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  • DOI: https://doi.org/10.1134/S0005117911100109

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