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 Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 1, Pages 83–94 (Mi zvmmf10661)

Numerical solution of the problem of determining the number and locations of state observation points in feedback control of a heating process

V. M. Abdullayevab, K. R. Aida-zadeca

a Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
b Azerbaijan State Oil and Industrial University, Baku, Azerbaijan
c Baku State University, Baku, Azerbaijan

Abstract: The problem of optimizing the number and locations of state observation points in the feedback control of heating a rod in a furnace is considered. The weighting coefficients determining the importance of each observation point in the current linear control function are also optimized. The synthesis of control functions is reduced to the problem of optimizing parameters for a pointwise loaded parabolic equation, which is solved by applying first-order optimization methods.

Key words: problem of heating a rod, feedback, control synthesis, pointwise loaded parabolic equation, gradient of a functional.

DOI: https://doi.org/10.7868/S0044466918010027

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English version:
Computational Mathematics and Mathematical Physics, 2018, 58:1, 78–89

Bibliographic databases:

UDC: 519.62
Revised: 12.12.2016

Citation: 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”, Zh. Vychisl. Mat. Mat. Fiz., 58:1 (2018), 83–94; Comput. Math. Math. Phys., 58:1 (2018), 78–89

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/zvmmf10661
• http://mi.mathnet.ru/eng/zvmmf/v58/i1/p83

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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. 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, ed. Fikret A. Tamer B., Baku State Univ, Inst Applied Mathematics, 2018, 107–109