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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2024, Volume 30, Number 3, Pages 122–138
DOI: https://doi.org/10.21538/0134-4889-2024-30-3-122-138 (Mi timm2109) 		 
A method for constructing multiply closed strategies in the problem of minimizing the total control impulse in a linear system with disturbance

N. M. Dmitruk

Belarusian State University, Minsk
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DOI: https://doi.org/10.21538/0134-4889-2024-30-3-122-138
Abstract: This paper deals with an optimal control problem for a linear discrete-time system subject to unknown bounded disturbance. It is required to steer the system robustly to a terminal set with the smallest total impulse of the control function. A problem of constructing an optimal multiply closed control strategy is formulated. It is assumed that the system states are measured and the control is corrected at some future times. A method for calculating an optimal strategy based on reducing the formulated problems to linear programs is proposed.
Keywords: linear system, disturbances, robust optimal control, control strategy, algorithm.
Funding agency Grant number
ГПНИ "Конвергенция-2025" 1.2.04.1
This work was supported by the National Program for Scientific Research of the Republic of Belarus "Convergence 2025'"(project no. 1.2.04.1).
Received: 04.04.2024
Revised: 01.05.2024
Accepted: 06.05.2024
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2024, Volume 327, Issue 1, Pages S74–S90
DOI: https://doi.org/10.1134/S008154382407006X
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
MSC: 93C05, 93B52, 49N05, 49L20
Language: Russian
Citation: N. M. Dmitruk, “A method for constructing multiply closed strategies in the problem of minimizing the total control impulse in a linear system with disturbance”, Trudy Inst. Mat. i Mekh. UrO RAN, 30, no. 3, 2024, 122–138; Proc. Steklov Inst. Math., 327, suppl. 1 (2024), S74–S90
Citation in format AMSBIB
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\by N.~M.~Dmitruk
\paper A method for constructing multiply closed strategies in the problem of minimizing the total control impulse in a linear system with disturbance
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2024
\vol 30
\issue 3
\pages 122--138
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\crossref{https://doi.org/10.21538/0134-4889-2024-30-3-122-138}
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\edn{https://elibrary.ru/lxyidh}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 327
\issue , suppl. 1
\pages S74--S90
\crossref{https://doi.org/10.1134/S008154382407006X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105000048504}
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