RUS  ENG
Full version
JOURNALS // Bulletin of Irkutsk State University. Series Mathematics // Archive

Bulletin of Irkutsk State University. Series Mathematics, 2023 Volume 46, Pages 19–34 (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

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.

UDC: 517.977.5

MSC: 93C05, 49N35

Received: 23.08.2023
Revised: 25.09.2023
Accepted: 04.10.2023

DOI: 10.26516/1997-7670.2023.46.19



© Steklov Math. Inst. of RAS, 2024