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Avtomatika i Telemekhanika, 2023, Issue 3, Pages 65–105
DOI: https://doi.org/10.31857/S0005231023030042 (Mi at16003) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Robust, Adaptive and Network Control

Exponentially stable adaptive control. Part II. Switched systems

A. I. Glushchenko, K. A. Lastochkin

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (1963 kB) First page Citations (3)
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DOI: https://doi.org/10.31857/S0005231023030042
Abstract: An adaptive state-feedback control system for a class of linear systems with piecewise-constant unknown parameters is proposed. The solution ensures a global exponential stability of a closed-loop system under condition that a regressor is finitely exciting after each parameters switch, and does not require neither any knowledge of a plant input matrix, nor the switching time instants. The obtained theoretical results are corroborated by numerical simulations.
Keywords: adaptive control, switched systems, piecewise-constant parameters, parameter error, finite excitation, identification, exponential stability.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МД-1787.2022.4
This research was in part financially supported by Grants Council of the President of the Russian Federation (project MD-1787.2022.4).
Presented by the member of Editorial Board: A. A. Bobtsov

Received: 11.07.2022
Revised: 21.11.2022
Accepted: 30.11.2022
English version:
Automation and Remote Control, 2023, Volume 84, Issue 3, Pages 285–316
DOI: https://doi.org/10.25728/arcRAS.2023.85.35.001
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Glushchenko, K. A. Lastochkin, “Exponentially stable adaptive control. Part II. Switched systems”, Avtomat. i Telemekh., 2023, no. 3, 65–105; Autom. Remote Control, 84:3 (2023), 285–316
Citation in format AMSBIB
\Bibitem{GluLas23}
\by A.~I.~Glushchenko, K.~A.~Lastochkin
\paper Exponentially stable adaptive control. Part II. Switched systems
\jour Avtomat. i Telemekh.
\yr 2023
\issue 3
\pages 65--105
\mathnet{http://mi.mathnet.ru/at16003}
\crossref{https://doi.org/10.31857/S0005231023030042}
\edn{https://elibrary.ru/ZYTLKX}
\transl
\jour Autom. Remote Control
\yr 2023
\vol 84
\issue 3
\pages 285--316
\crossref{https://doi.org/10.25728/arcRAS.2023.85.35.001}
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  • https://www.mathnet.ru/eng/at/y2023/i3/p65
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