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Optimal control of dual-mass system motion in a medium with a piecewise linear resistance

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Abstract

Linear motion of a mechanical system consisting of two bodies—a container and an inner body—is considered. The container is located in an external medium with resistance, and the inner body moves inside the container without the interaction with the external medium. Under certain conditions, the periodic motion of the inner body causes the system as a whole to move. The external medium acts on the container with a force that is proportional to its velocity with a resistance coefficient depending on the motion direction. Only the motions of the inner body with continuous relative velocity are studied. The optimal periodic motion of the inner body corresponding to the greatest period-averaged velocity of the system as a whole is constructed and analyzed.

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Original Russian Text © A.A. Podosinnikova, 2012, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2012, No. 6, pp. 112–121.

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Podosinnikova, A.A. Optimal control of dual-mass system motion in a medium with a piecewise linear resistance. J. Comput. Syst. Sci. Int. 51, 849–858 (2012). https://doi.org/10.1134/S106423071206010X

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  • DOI: https://doi.org/10.1134/S106423071206010X

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