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Avtomat. i Telemekh., 2017, Issue 9, Pages 49–66 (Mi at14894)  

This article is cited in 7 scientific papers (total in 7 papers)

Control in Technical Systems

Optimizing placement of the control points at synthesis of the heating process control

K. R. Aida-zadeab, V. M. Abdullayevcd

a Baku State University, Baku, Azerbaijan
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
c Azerbaijan State Oil and Industry University, Baku, Azerbaijan
d Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

Abstract: Consideration was given to the problem of optimizing the locations of the control points over the object state within the framework of the optimal feedback control problems of the distributed parameter objects. For certainty, considered was heating of a rod in furnace where the temperature of controlled vs. the temperature measured at certain points of the rod. The problem is reduced to that of parametric optimal control of an initial-boundary value problem where unknown current values of temperature at the measurement points occur at the right side of its equation and the boundary conditions. Formulas were derived for the components of the objective functional gradient with respect to the coordinates of the control point locations and the parameters of the measurement-dependent current control. The results of the carried out numerical experiments were given.

Keywords: distributed-parameter system, heating process, feedback, gain factor, state control point.

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English version:
Automation and Remote Control, 2017, 78:9, 1585–1599

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Presented by the member of Editorial Board: Б. Т. Поляк

Received: 28.07.2016

Citation: K. R. Aida-zade, V. M. Abdullayev, “Optimizing placement of the control points at synthesis of the heating process control”, Avtomat. i Telemekh., 2017, no. 9, 49–66; Autom. Remote Control, 78:9 (2017), 1585–1599

Citation in format AMSBIB
\by K.~R.~Aida-zade, V.~M.~Abdullayev
\paper Optimizing placement of the control points at synthesis of the heating process control
\jour Avtomat. i Telemekh.
\yr 2017
\issue 9
\pages 49--66
\jour Autom. Remote Control
\yr 2017
\vol 78
\issue 9
\pages 1585--1599

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. M. Abdullayev, “Numerical solution to optimal control problems with multipoint and integral conditions”, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 44:2 (2018), 171–186  mathscinet  zmath  isi
    2. K. R. Aida-Zade, “An approach for solving nonlinearly loaded problems for linear ordinary differential equations”, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 44:2 (2018), 338–350  mathscinet  zmath  isi
    3. Aida-zade K.R., “Nonlinearly loaded boundary value problems for linear ordinary differential equations”, Differ. Equ., 55:6 (2019), 739–744  crossref  mathscinet  isi
    4. K. R. Aida-zade, V. A. Hashimov, “Feedback control of the plate heating process with optimization of the locations of sources and control”, Autom. Remote Control, 81:4 (2020), 670–685  mathnet  crossref  crossref  isi  elib
    5. V. M. Abdullaev, “Chislennoe reshenie kraevoi zadachi dlya nagruzhennogo parabolicheskogo uravneniya s nelokalnymi granichnymi usloviyami”, Vestnik KRAUNTs. Fiz.-mat. nauki, 32:3 (2020), 15–28  mathnet  crossref
    6. Aida-zade K.R., Abdullayev V.M., “Control synthesis for temperature maintaining process in a heat supply problem”, Cybern. Syst. Anal., 56:3 (2020), 380–391  crossref  mathscinet  isi  scopus
    7. K. R. Aida-zade, V. M. Abdullayev, “Optimization of right-hand sides of nonlocal boundary conditions in a controlled dynamical system”, Autom. Remote Control, 82:3 (2021), 375–397  mathnet  crossref  crossref  isi  elib
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