Avtomatika i Telemekhanika
 RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Avtomat. i Telemekh.: Year: Volume: Issue: Page: Find

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

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.

Full text: PDF file (221 kB)
References: PDF file   HTML file

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

Bibliographic databases:

Presented by the member of Editorial Board: Á. Ò. Ïîëÿê

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
\Bibitem{AidAbd12} \by K.~R.~Aida-zade, V.~M.~Abdullaev \paper On an approach to designing control of the distributed-parameter processes \jour Avtomat. i Telemekh. \yr 2012 \issue 9 \pages 3--19 \mathnet{http://mi.mathnet.ru/at4058} \zmath{https://zbmath.org/?q=an:1260.49055} \transl \jour Autom. Remote Control \yr 2012 \vol 73 \issue 9 \pages 1443--1455 \crossref{https://doi.org/10.1134/S0005117912090019} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000308815500001} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84868592958} 

• http://mi.mathnet.ru/eng/at4058
• http://mi.mathnet.ru/eng/at/y2012/i9/p3

 SHARE:

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
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
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
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
5. Abdullayev V.M., “Numerical Solution to Optimal Control Problems With Multipoint and Integral Conditions”, Proc. Inst. Math. Mech., 44:2 (2018), 171–186
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
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
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
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
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
11. Aida-zade K.R., “Nonlinearly Loaded Boundary Value Problems For Linear Ordinary Differential Equations”, Differ. Equ., 55:6 (2019), 739–744
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
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
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
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
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
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
•  Number of views: This page: 447 Full text: 96 References: 46 First page: 37