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Avtomat. i Telemekh., 2012, Issue 9, Pages 3–19 (Mi at4058)  

This article is cited in 17 scientific papers (total in 17 papers)

Linear Systems

On an approach to designing control of the distributed-parameter processes

K. R. Aida-zade, V. M. Abdullaev

Institute of Cybernetics, Azerbaijan Academy of Sciences, Baku, Azerbaijan

Abstract: Consideration was given to a class of the problems of optimal control of rod (plate) heating by controlling the furnace temperature. Control relies on the process information feedbacked continuously or discretely only from the individual points on the rod where the temperature sensors are installed. For the continuous and discrete observation, the mathematical model of the controlled process was reduced to the pointwise loaded parabolic equation. The paper established formulas for the functional gradient, proposed schemes of their numerical solution, and presented the results of the numerical experiments.

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English version:
Automation and Remote Control, 2012, 73:9, 1443–1455

Bibliographic databases:

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

Received: 17.06.2011

Citation: K. R. Aida-zade, V. M. Abdullaev, “On an approach to designing control of the distributed-parameter processes”, Avtomat. i Telemekh., 2012, no. 9, 3–19; Autom. Remote Control, 73:9 (2012), 1443–1455

Citation in format AMSBIB
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\pages 1443--1455
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. M. Abdullayev, K. R. Aida-zade, “Finite-difference methods for solving loaded parabolic equations”, Comput. Math. Math. Phys., 56:1 (2016), 93–105  mathnet  crossref  crossref  isi  elib
    2. K. R. Aida-zade, V. M. Abdullayev, “Optimizing placement of the control points at synthesis of the heating process control”, Autom. Remote Control, 78:9 (2017), 1585–1599  mathnet  crossref  isi  elib
    3. V. M. Abdullayev, K. R. Aida-zade, “Numerical solution of the problem of determining the number and locations of state observation points in feedback control of a heating process”, Comput. Math. Math. Phys., 58:1 (2018), 78–89  mathnet  crossref  crossref  isi  elib
    4. K. R. Aida-zade, V. A. Hashimov, “Optimization of measurement points positioning in a border control synthesis problem for the process of heating a rod”, Autom. Remote Control, 79:9 (2018), 1643–1660  mathnet  crossref  isi  elib
    5. Abdullayev V.M., “Numerical Solution to Optimal Control Problems With Multipoint and Integral Conditions”, Proc. Inst. Math. Mech., 44:2 (2018), 171–186  mathscinet  zmath  isi
    6. Aida-Zade K.R., “An Approach For Solving Nonlinearly Loaded Problems For Linear Ordinary Differential Equations”, Proc. Inst. Math. Mech., 44:2 (2018), 338–350  mathscinet  zmath  isi
    7. Aida-zade K.R., Abdullayev V.M., “Optimization of the Placements of Observation Points in One Problem of Control of Heating Process”, IFAC PAPERSONLINE, 51:30 (2018), 245–250  crossref  isi  scopus
    8. Aida-Zade K.R., Abdullayev V.M., “Numerical Solution to Optimal Control Problems For Loaded Dynamic Systems With Integral Conditions”, Proceedings of the 6Th International Conference on Control and Optimization With Industrial Applications, Vol i, eds. Fikret A., Tamer B., Baku State Univ, Inst Applied Mathematics, 2018, 107–109  isi
    9. Aida-Zade K., Hashimov V., “On One Problem of Synthesis of Lumped Controls on Heating the Plate”, Proceedings of the 6Th International Conference on Control and Optimization With Industrial Applications, Vol II, eds. Fikret A., Tamer B., Baku State Univ, Inst Applied Mathematics, 2018, 41–43  isi
    10. Aida-zade K.R., Hashimov V.A., “Optimizing the Arrangement of Lumped Sources and Measurement Points of Plate Heating”, Cybern. Syst. Anal., 55:4 (2019), 605–615  crossref  mathscinet  isi  scopus
    11. Aida-zade K.R., “Nonlinearly Loaded Boundary Value Problems For Linear Ordinary Differential Equations”, Differ. Equ., 55:6 (2019), 739–744  crossref  mathscinet  isi
    12. 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
    13. Aida-Zade K.R., Abdullaev V.M., “On the Numerical Solution to Optimal Control Problems With Non-Local Conditions”, TWMS J. Appl. Eng. Math., 10:1 (2020), 47–58  isi
    14. 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
    15. Aida-Zade K.R., Abdullayev V.M., “About One Problem of Controlling a Heating System With Feedback”, Proceedings of the7Th International Conference on Control and Optimization With Industrial Applications, Vol. 1, eds. Fikret A., Tamer B., Baku State Univ, Inst Applied Mathematics, 2020, 44–46  isi
    16. Hashimov V., “On a Problem of Control of the Stabilization of Membrane Vibration”, Proceedings of the7Th International Conference on Control and Optimization With Industrial Applications, Vol II, eds. Fikret A., Tamar B., Baku State Univ, Inst Applied Mathematics, 2020, 167–169  isi
    17. 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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