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Avtomatika i Telemekhanika, 2021, Issue 4, Pages 121–139
DOI: https://doi.org/10.31857/S000523102104005X
(Mi at15453)
 

This article is cited in 16 scientific papers (total in 16 papers)

Nonlinear Systems

Control of dynamical plants with a guarantee for the controlled signal to stay in a given set

I. B. Furtat, P. Gushchin

Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178 Russia
References:
Abstract: We propose a control method for dynamical systems that permits one to guarantee that the plant output signal is in a given set at any time. To solve the problem, a special change of coordinates is used that permits one to reduce the original problem with constraints to the problem of studying the input-state stability of the new extended unconstrained system. Examples of coordinate changes are given, and control algorithms for linear plants and systems with a sector nonlinearity in the presence of parametric uncertainty and disturbances are synthesized. The results obtained are accompanied by modeling that illustrates the efficiency of our method and confirms the theoretical conclusions.
Keywords: dynamical system, change of coordinates, stability, control.
Funding agency Grant number
Russian Science Foundation 18-79-10104
Ministry of Science and Higher Education of the Russian Federation МД-1054.2020.8
The results in Secs. 3–5 were obtained with support of the Russian Science Foundation, project no. 18-79-10104, at the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences (IPME RAS). The results in Sec. 6 were obtained with support of grant no. MD-1054.2020.8 from the President of the Russian Federation at the IPME RAS.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 23.03.2020
Revised: 17.06.2020
Accepted: 09.07.2020
English version:
Automation and Remote Control, 2021, Volume 82, Issue 4, Pages 654–669
DOI: https://doi.org/10.1134/S0005117921040044
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. B. Furtat, P. Gushchin, “Control of dynamical plants with a guarantee for the controlled signal to stay in a given set”, Avtomat. i Telemekh., 2021, no. 4, 121–139; Autom. Remote Control, 82:4 (2021), 654–669
Citation in format AMSBIB
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\by I.~B.~Furtat, P.~Gushchin
\paper Control of dynamical plants with a guarantee for the controlled signal to stay in a given set
\jour Avtomat. i Telemekh.
\yr 2021
\issue 4
\pages 121--139
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\crossref{https://doi.org/10.31857/S000523102104005X}
\elib{https://elibrary.ru/item.asp?id=46770416}
\transl
\jour Autom. Remote Control
\yr 2021
\vol 82
\issue 4
\pages 654--669
\crossref{https://doi.org/10.1134/S0005117921040044}
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Linking options:
  • https://www.mathnet.ru/eng/at15453
  • https://www.mathnet.ru/eng/at/y2021/i4/p121
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Avtomatika i Telemekhanika
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