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Avtomatika i Telemekhanika, 2022, Issue 2, Pages 51–62
DOI: https://doi.org/10.31857/S0005231022020040 (Mi at15629) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Linear Systems

Bifurcation analysis of a pulse-width control system

O. O. Yanochkina, D. V. Titov

The Southwest State University, Kursk, 305040 Russia
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DOI: https://doi.org/10.31857/S0005231022020040
Abstract: We study local bifurcations in a control system with pulse-width modulation of the first kind (PWM-1) whose state is described by a piecewise smooth mapping. It is shown that, in addition to classical bifurcations, the so-called border collision bifurcations, which have no analogs in smooth systems, are possible in pulsed systems. The main bifurcation transitions are described using a piecewise linear continuous mapping as a normal form.
Keywords: pulse-width modulation, piecewise smooth mapping, border collision bifurcation, normal form.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2021-1155
075-15-2021-1213
The work was supported by the Ministry of Education and Science of the Russian Federation, grant “Implementation of the strategic academic leadership program Priority–2030” (agreements nos. 075-15-2021-1155 and 075-15-2021-1213).
Presented by the member of Editorial Board: A. P. Krishchenko

Received: 31.12.2020
Revised: 08.10.2021
Accepted: 15.10.2021
English version:
Automation and Remote Control, 2022, Volume 83, Issue 2, Pages 204–213
DOI: https://doi.org/10.1134/S0005117922020047
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. O. Yanochkina, D. V. Titov, “Bifurcation analysis of a pulse-width control system”, Avtomat. i Telemekh., 2022, no. 2, 51–62; Autom. Remote Control, 83:2 (2022), 204–213
Citation in format AMSBIB
\Bibitem{YanTit22}
\by O.~O.~Yanochkina, D.~V.~Titov
\paper Bifurcation analysis of a pulse-width control system
\jour Avtomat. i Telemekh.
\yr 2022
\issue 2
\pages 51--62
\mathnet{http://mi.mathnet.ru/at15629}
\crossref{https://doi.org/10.31857/S0005231022020040}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4444947}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 2
\pages 204--213
\crossref{https://doi.org/10.1134/S0005117922020047}
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  • https://www.mathnet.ru/eng/at/y2022/i2/p51
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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