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Avtomatika i Telemekhanika, 2022, Issue 7, Pages 49–58
DOI: https://doi.org/10.31857/S0005231022070030 (Mi at15998) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Robust, Adaptive and Network Control

Analytical synthesis of an amplitude-constrained controller

L. T. Ashchepkov

Far Eastern Federal University, Vladivostok, 690090 Russia
Full-text PDF (190 kB) Citations (2)
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DOI: https://doi.org/10.31857/S0005231022070030
Abstract: We consider a time-invariant optimal control problem of a new linear-quadratic type on the positive time axis with an amplitude constraint on the control. Using sufficient optimality conditions, we find an optimal positional control with a discontinuity on a subspace of the state space. The motion of the closed-loop system on the subspace in the sliding mode is investigated. The exponential stability of the closed-loop system is shown. Examples are given.
Keywords: optimal control, linear-quadratic problem, optimal synthesis, sliding mode, exponential stability.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 21.10.2021
Revised: 15.02.2022
Accepted: 31.03.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 7, Pages 1050–1058
DOI: https://doi.org/10.1134/S0005117922070037
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. T. Ashchepkov, “Analytical synthesis of an amplitude-constrained controller”, Avtomat. i Telemekh., 2022, no. 7, 49–58; Autom. Remote Control, 83:7 (2022), 1050–1058
Citation in format AMSBIB
\Bibitem{Ash22}
\by L.~T.~Ashchepkov
\paper Analytical synthesis of an amplitude-constrained controller
\jour Avtomat. i Telemekh.
\yr 2022
\issue 7
\pages 49--58
\mathnet{http://mi.mathnet.ru/at15998}
\crossref{https://doi.org/10.31857/S0005231022070030}
\edn{https://elibrary.ru/ADTRWW}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 7
\pages 1050--1058
\crossref{https://doi.org/10.1134/S0005117922070037}
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  • https://www.mathnet.ru/eng/at/y2022/i7/p49
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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