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Avtomatika i Telemekhanika, 2023, Issue 9, Pages 95–105
DOI: https://doi.org/10.31857/S0005231023090052 (Mi at16206) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear Systems

Global stability of a second-order affine switching system

A. V. Pesterev

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (450 kB) First page Citations (4)
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DOI: https://doi.org/10.31857/S0005231023090052
Abstract: Stability of an affine switching system is studied. The system comes to existence when stabilizing a chain of two integrators by means of a feedback in the form of nested saturators. The use of such a feedback allows one to easily take into account boundedness of the control resource, to constrain the maximum velocity of approaching the equilibrium state, which is especially important in the case of large initial deviations, and to ensure desired characteristics of the transient process, such as a given exponential rate of the deviation decrease near the equilibrium state. It is proved that the closed-loop system is globally stable.
Keywords: stabilizing a chain of two integrators, affine switching system, global stability, nested saturators.

Received: 17.03.2023
Revised: 13.06.2023
Accepted: 29.06.2023
English version:
Automation and Remote Control, 2023, Volume 84, Issue 9, Pages 966–973
DOI: https://doi.org/10.1134/S0005117923090060
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Pesterev, “Global stability of a second-order affine switching system”, Avtomat. i Telemekh., 2023, no. 9, 95–105; Autom. Remote Control, 84:9 (2023), 966–973
Citation in format AMSBIB
\Bibitem{Pes23}
\by A.~V.~Pesterev
\paper Global stability of a second-order affine switching system
\jour Avtomat. i Telemekh.
\yr 2023
\issue 9
\pages 95--105
\mathnet{http://mi.mathnet.ru/at16206}
\crossref{https://doi.org/10.31857/S0005231023090052}
\edn{https://elibrary.ru/JSXFFD}
\transl
\jour Autom. Remote Control
\yr 2023
\vol 84
\issue 9
\pages 966--973
\crossref{https://doi.org/10.1134/S0005117923090060}
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  • https://www.mathnet.ru/eng/at/y2023/i9/p95
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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