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Bulletin of Irkutsk State University. Series Mathematics, 2023, Volume 46, Pages 19–34
DOI: https://doi.org/10.26516/1997-7670.2023.46.19 (Mi iigum542) 		 
Dynamic systems and optimal control

A support vector machine based synthesis of suboptimal feedbacks for linear optimal control problems

Natalia M. Dmitruk, Maria A. Hatavets

Belarusian State University, Minks, Belarus
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DOI: https://doi.org/10.26516/1997-7670.2023.46.19
Abstract: Optimal feedback synthesis for two linear optimal control problems is studied: The terminal problem and the problem of minimizing the total impulse of the control. The main contribution of the paper is a method for constructing suboptimal feedbacks in the problems under consideration, based on a linear binary data classification for datasets obtained during the simulation process or real-time control of the system.
Keywords: linear systems, optimal control synthesis, classification, support vector machine.
Funding agency Grant number
Vladimir Potanin Foundation 0006/23
This work was supported by the Vladimir Potanin Foundation, Project No 0006/23.
Received: 23.08.2023
Revised: 25.09.2023
Accepted: 04.10.2023
Document Type: Article
UDC: 517.977.5
MSC: 93C05, 49N35
Language: Russian
Citation: Natalia M. Dmitruk, Maria A. Hatavets, “A support vector machine based synthesis of suboptimal feedbacks for linear optimal control problems”, Bulletin of Irkutsk State University. Series Mathematics, 46 (2023), 19–34
Citation in format AMSBIB
\Bibitem{DmiHat23}
\by Natalia~M.~Dmitruk, Maria~A.~Hatavets
\paper A support vector machine based synthesis of suboptimal feedbacks for linear optimal control problems
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2023
\vol 46
\pages 19--34
\mathnet{http://mi.mathnet.ru/iigum542}
\crossref{https://doi.org/10.26516/1997-7670.2023.46.19}
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