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Optimization of the Placement of Measurement Points and Control of the Power of Moving Sources in Rod Heating

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Interactive Collaborative Robotics (ICR 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14214))

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Abstract

The problem of synthesis of power control of point-wise heat sources of heating of a rod moving along the rod by given trajectories and optimization of the placements of temperature measurement points is considered. To form the current power values of each of the heat sources, it is proposed to use the formula of their linear dependence on the temperature of the rod at the measured points. In general, the original optimal control problem is reduced to finding a finite-dimensional vector of feedback parameters and coordinates of measurement points that optimize the given objective functional. Regarding the feedback parameters and the coordinates of the measurement points, the necessary conditions for the optimality of the functional of the problem are formulated, containing formulas for the components of the gradient of the objective functional. The obtained formulas make it possible to use effective numerical first-order optimization methods for solving the problem. The results of numerical experiments obtained on initial test data are presented, and the analysis of the results is carried out. In particular, the influence of the temperature measurement errors at the measurement points on the quality of process control, namely on the value of the objective functional is analyzed.

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Authors and Affiliations

  1. Institute of Control Systems of the Ministry of Science and Education of Republic of Azerbaijan, 68, B. Vahabzadeh street, Baku, AZ1141, Azerbaijan

    Kamil Aida-Zade & Vugar Hashimov

Authors
  1. Kamil Aida-Zade
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  2. Vugar Hashimov
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Corresponding author

Correspondence to Kamil Aida-Zade .

Editor information

Editors and Affiliations

  1. St. Petersburg Federal Research Center of the Russian Academy of Sciences, St. Petersburg, Russia

    Andrey Ronzhin

  2. Institute of Control Systems of Ministry of Science and Education of the Republic of Azerbaijan, Baku, Azerbaijan

    Aminagha Sadigov

  3. V.A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russia

    Roman Meshcheryakov

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Aida-Zade, K., Hashimov, V. (2023). Optimization of the Placement of Measurement Points and Control of the Power of Moving Sources in Rod Heating. In: Ronzhin, A., Sadigov, A., Meshcheryakov, R. (eds) Interactive Collaborative Robotics. ICR 2023. Lecture Notes in Computer Science(), vol 14214. Springer, Cham. https://doi.org/10.1007/978-3-031-43111-1_18

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  • DOI: https://doi.org/10.1007/978-3-031-43111-1_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-43110-4

  • Online ISBN: 978-3-031-43111-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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