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Avtomatika i Telemekhanika, 2024, Issue 1, Pages 47–63
DOI: https://doi.org/10.31857/S0005231024010049 (Mi at16354) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear Systems

Output stabilization of Lurie-type nonlinear systems in a given set

B. H. Nguyenab

a St. Petersburg National Research University of Information Technologies, Mechanics and Optics
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
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DOI: https://doi.org/10.31857/S0005231024010049
Abstract: This paper considers the problem of stabilizing the output variables of a Lurie-type nonlinear system in a given set at any time instant. A special output transformation is used to reduce the original constrained problem to that of analyzing the input-to-state stability of a new extended system without constraints. For this system, nonlinear control laws are obtained using the technique of linear matrix inequalities. Examples are given to illustrate the effectiveness of the method proposed and confirm the theoretical conclusions.
Keywords: Lurie-type nonlinear system, stabilization, nonlinear control, coordinate transformation, stability, linear matrix inequalities.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 121112500298-6
Presented by the member of Editorial Board: L. B. Rapoport

Received: 18.03.2023
Revised: 10.10.2023
Accepted: 21.12.2023
English version:
Automation and Remote Control, 2024, Volume 85, Issue 1, Pages 33–45
DOI: https://doi.org/10.1134/S0005117924010065
Document Type: Article
Language: Russian
Citation: B. H. Nguyen, “Output stabilization of Lurie-type nonlinear systems in a given set”, Avtomat. i Telemekh., 2024, no. 1, 47–63; Autom. Remote Control, 85:1 (2024), 33–45
Citation in format AMSBIB
\Bibitem{Ngu24}
\by B.~H.~Nguyen
\paper Output stabilization of Lurie-type nonlinear systems in a given set
\jour Avtomat. i Telemekh.
\yr 2024
\issue 1
\pages 47--63
\mathnet{http://mi.mathnet.ru/at16354}
\crossref{https://doi.org/10.31857/S0005231024010049}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 1
\pages 33--45
\crossref{https://doi.org/10.1134/S0005117924010065}
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