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Avtomatika i Telemekhanika, 2024, Issue 7, Pages 32–41
DOI: https://doi.org/10.31857/S0005231024070032 (Mi at16286) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear Systems

Stabilization of a chain of three integrators subject to a phase constraint

A. V. Pesterev, Yu. V. Morozov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.31857/S0005231024070032
Abstract: The problem of stabilizing a chain of three integrators subject to a phase constraint is studied. Continuous constrained control in the form of nested sigmoids, which guarantees the fulfillment of the phase constraint, is synthesized. A Lyapunov function is constructed, and necessary and sufficient conditions of global stability of the closed-loop system are established. The discussion is illustrated by numerical examples.
Keywords: stabilization of a chain of three integrators, global stability, phase constraint, nested sigmoids, Lyapunov function.
Presented by the member of Editorial Board: A. I. Matasov

Received: 04.03.2024
Revised: 07.05.2024
Accepted: 30.05.2024
English version:
Automation and Remote Control, 2024, Volume 85, Issue 7, Pages 597–603
DOI: https://doi.org/10.1134/S0005117924700036
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Pesterev, Yu. V. Morozov, “Stabilization of a chain of three integrators subject to a phase constraint”, Avtomat. i Telemekh., 2024, no. 7, 32–41; Autom. Remote Control, 85:7 (2024), 597–603
Citation in format AMSBIB
\Bibitem{PesMor24}
\by A.~V.~Pesterev, Yu.~V.~Morozov
\paper Stabilization of a chain of three integrators subject to a phase constraint
\jour Avtomat. i Telemekh.
\yr 2024
\issue 7
\pages 32--41
\mathnet{http://mi.mathnet.ru/at16286}
\crossref{https://doi.org/10.31857/S0005231024070032}
\edn{https://elibrary.ru/XRVPFU}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 7
\pages 597--603
\crossref{https://doi.org/10.1134/S0005117924700036}
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    • This publication is cited in the following 1 articles:
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