Abstract
We consider the optimal control problem for the spatial motion of a dynamic object in order to search for a moving object that performs simple motion in a rectangular region on a plane. As the optimality criterion, we consider a functional that takes into account the energy consumption of a light source located on the searching object. The object in question is considered to be detected when it reaches the light square with a given illumination. We propose a method for controlling the movement of a searching object, as well as the corresponding law of variation of the electric current in the light source circuit, which ensure the detection of the desired object under a guaranteed search time with minimal light energy consumption.
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Funding
This work was financially supported by the State Committee for Science of the Ministry of Education and Science of the Republic of Armenia, project no. 18T-2C127.
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This paper was recommended for publication by B.M. Miller, a member of the Editorial Board
Russian Text © The Author(s), 2020, published in Avtomatika i Telemekhanika, 2020, No. 4, pp. 110-119.
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Avetisyan, V.V. Controlled Dynamic Search for a Mobile Object with Minimum Cost of Light Energy. Autom Remote Control 81, 662–669 (2020). https://doi.org/10.1134/S0005117920040086
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DOI: https://doi.org/10.1134/S0005117920040086