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Controlled Dynamic Search for a Mobile Object with Minimum Cost of Light Energy

  • Control in Technical Systems
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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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References

  1. Horn, B.K.P., Robot Vision, Cambridge: MIT Press, 1986. Translated under the title Zrenie robotov, Moscow: Mir, 1989.

    Google Scholar 

  2. Avetisyan, V.V. and Martirosyan, S.R., Guaranteed Search for a Target Object by an Electromechanical System with Minimal Light Power Costs, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2009, no. 5, pp. 151–164.

    MATH  Google Scholar 

  3. Chernous'ko, F.L., Controllable Search for a Moving Object, Prikl. Mat. Mekh., 1980, vol. 44, no. 1, pp. 3–12.

    Google Scholar 

  4. Chkhartishvili, A.G. and Shikin, E.V., Dynamic Search for Objects. A Geometric Approach, Fundam. Prikl. Mat., 1995, vol. 1, no. 4, pp. 827–862.

    MathSciNet  MATH  Google Scholar 

  5. Avetisyan, V.V. and Melikyan, T.T., On the Guaranteed Search Problem for a Moving Object in a Rectangular Region, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 1999, no. 2, pp. 31–39.

    MATH  Google Scholar 

  6. Avetisyan, V.V., Search for a Static Object in a Rectangular Region Optimal with respect to the Minimal Guaranteed Time, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2002, no. 1, pp. 62–69.

    Google Scholar 

  7. Avetisyan, V.V., Control over the Search of a Static Object for Capturing It, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2006, no. 6, pp. 160–168.

    Google Scholar 

  8. Chernous'ko, F.L., Bolotnik, N.N., and Gradetskii, V.G., Manipulyatsionnye roboty (Robotic Manipulators), Moscow: Nauka, 1989.

    MATH  Google Scholar 

  9. Savel'ev, I.V., Kurs obshchei fiziki (A Course in General Physics), Moscow: Nauka, 1970, vol. 3.

  10. Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., and Mishchenko, E.F., Matematicheskaya teoriya optimal'nykh protsessov (Mathematical Theory of Optimal Processes), Moscow: Nauka, 1983.

    MATH  Google Scholar 

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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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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    V. V. Avetisyan

Authors
  1. V. V. Avetisyan
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Correspondence to V. V. Avetisyan.

Additional information

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

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