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Avtomatika i Telemekhanika, 2022, Issue 1, Pages 130–149
DOI: https://doi.org/10.31857/S0005231022010081 (Mi at15759) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Control in Technical Systems

Controlling the heating of a rod using the current and preceding time feedback

K. R. Aida-zadeab, V. M. Abdullayevcb

a nstitute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, AZ1141 Azerbaijan
b Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, AZ1141 Azerbaijan
c Azerbaijan State Oil and Industry University, Baku, AZ1010 Azerbaijan
Full-text PDF (443 kB) First page Citations (4)
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DOI: https://doi.org/10.31857/S0005231022010081
Abstract: Using the process of heating a rod in a furnace as an example, we study the feedback control synthesis problem for plants with distributed parameters. To form the control values, it is proposed to use their linear dependence on the state values at the points of measurement, both at the current and at the preceding moments of time. The unknown coefficients involved in this dependence of the control on the measured state values are the feedback parameters. They are determined by minimizing the objective functional using first-order numerical optimization methods. To this end, formulas for the gradient of the objective functional with respect to the feedback parameters are obtained. The results of numerical experiments are presented.
Keywords: distributed parameter system, heating process, feedback, gain, control point, gradient of a functional, feedback parameter.
Presented by the member of Editorial Board: M. V. Khlebnikov

Received: 30.07.2021
Revised: 25.08.2021
Accepted: 29.08.2021
English version:
Automation and Remote Control, 2022, Volume 83, Issue 1, Pages 106–122
DOI: https://doi.org/10.1134/S0005117922010088
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. R. Aida-zade, V. M. Abdullayev, “Controlling the heating of a rod using the current and preceding time feedback”, Avtomat. i Telemekh., 2022, no. 1, 130–149; Autom. Remote Control, 83:1 (2022), 106–122
Citation in format AMSBIB
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\paper Controlling the heating of a rod using the current and preceding time feedback
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\issue 1
\pages 130--149
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\transl
\jour Autom. Remote Control
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\vol 83
\issue 1
\pages 106--122
\crossref{https://doi.org/10.1134/S0005117922010088}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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