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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 12, Pages 1839–1850
DOI: https://doi.org/10.7868/S0044466914120114
(Mi zvmmf10119)
 

This article is cited in 1 scientific paper (total in 1 paper)

Real-time optimal control of a special distributed parameter system

R. Gabasova, F. M. Kirillovab, D. S. Kuzmenkovc

a Belarusian State University, pr. Nezavisimosti 4, Minsk, 220030, Belarus
b Institute of Mathematics, Belarussian Academy of Sciences, ul. Surganova 11, Minsk, 220072, Belarus
c Gomel State University, ul. Sovetskaya 104, Gomel, 246019, Belarus
Full-text PDF (890 kB) Citations (1)
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Abstract: The problem of constructing positional solutions under the real-time optimal control of a parabolic system is considered. A method for finding an approximate solution of the problem is justified. According to the method, the problem is reduced to the optimal control problem for a large dynamical ordinary differential system, which is solved by applying a dynamical version of the dual linear programming method. The fundamental matrix of the homogeneous part of the system is quasi-decomposed to save computation time at the iterations of the method. An optimal controller is described whereby the current optimal feedback values (positional solution) are constructed in real time. Numerical results are presented for the control of thermal processes in a rod.
Key words: parabolic distributed parameter system, optimal control problem, positional solution, optimal controller, control of thermal process.
Received: 24.05.2013
Revised: 10.06.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 12, Pages 1765–1775
DOI: https://doi.org/10.1134/S0965542514120100
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: R. Gabasov, F. M. Kirillova, D. S. Kuzmenkov, “Real-time optimal control of a special distributed parameter system”, Zh. Vychisl. Mat. Mat. Fiz., 54:12 (2014), 1839–1850; Comput. Math. Math. Phys., 54:12 (2014), 1765–1775
Citation in format AMSBIB
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