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Avtomatika i Telemekhanika, 2023, Issue 11, Pages 147–168
DOI: https://doi.org/10.31857/S0005231023110089 (Mi at16067) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Robust, Adaptive and Network Control

Exponentially stable adaptive control. Part III. Time-varying plants

A. I. Glushchenko, K. A. Lastochkin

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
Full-text PDF (852 kB) First page Citations (2)
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DOI: https://doi.org/10.31857/S0005231023110089
Abstract: A state-feedback adaptive control system is proposed for a class of linear systems in the controllable canonical form with time-varying unknown parameters described by known nonstationary exosystems with unknown initial conditions. The solution ensures global exponential stability of the closed-loop system in case a regressor is finitely exciting, and also does not require a priori information about the sign of the high-frequency gain (control direction). The obtained theoretical results are validated via mathematical modeling.
Keywords: adaptive control, time-varying parameters, parametric error, finite excitation, identification, exponential stability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МД.1787.2022.4
Presented by the member of Editorial Board: N. N. Bakhtadze

Received: 20.10.2022
Revised: 07.03.2023
Accepted: 31.05.2023
English version:
Automation and Remote Control, 2023, Volume 84, Issue 11, Pages 1232–1247
DOI: https://doi.org/10.1134/S0005117923110048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Glushchenko, K. A. Lastochkin, “Exponentially stable adaptive control. Part III. Time-varying plants”, Avtomat. i Telemekh., 2023, no. 11, 147–168; Autom. Remote Control, 84:11 (2023), 1232–1247
Citation in format AMSBIB
\Bibitem{GluLas23}
\by A.~I.~Glushchenko, K.~A.~Lastochkin
\paper Exponentially stable adaptive control. Part III. Time-varying plants
\jour Avtomat. i Telemekh.
\yr 2023
\issue 11
\pages 147--168
\mathnet{http://mi.mathnet.ru/at16067}
\crossref{https://doi.org/10.31857/S0005231023110089}
\edn{https://elibrary.ru/OOHZIG}
\transl
\jour Autom. Remote Control
\yr 2023
\vol 84
\issue 11
\pages 1232--1247
\crossref{https://doi.org/10.1134/S0005117923110048}
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  • https://www.mathnet.ru/eng/at/y2023/i11/p147
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