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Avtomatika i Telemekhanika, 2022, Issue 4, Pages 62–99
DOI: https://doi.org/10.31857/S0005231022040055 (Mi at15760) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Robust, Adaptive and Network Control

Exponentially stable adaptive control. Part I. Time-invariant plants

A. I. Glushchenkoa, K. A. Lastochkina, V. A. Petrovb

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia
b Ugarov Staryi Oskol Technological Institute, Branch of National University of Science and Technology “MISiS”, Staryi Oskol, Belgorod oblast, 309516 Russia
Full-text PDF (1643 kB) First page Citations (12)
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DOI: https://doi.org/10.31857/S0005231022040055
Abstract: We propose a new controller parameter adaptive law that guarantees the exponential stability of the classical dynamic model of the tracking error without using its coordinates in the adaptive law and relaxes some classical assumptions and requirements of adaptive control theory (the need to know the sign/value of the control input gain, the need for an experimental choice of the adaptive law gain, and the requirement to the tracking error transfer function to be strictly positive real considering the output feedback control). The applicability of the proposed law to adaptive state and output feedback control problems is shown. The advantages of developed approach over the existing ones are demonstrated mathematically and experimentally.
Keywords: adaptive control, output control, relative degree, time-invariant parameters, parametric error, finite excitation, exponential stability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МД-1787.2022.4
This research was financially supported in part by Grants Council of the President of the Russian Federation, project no. MD-1787.2022.4.
Presented by the member of Editorial Board: A. A. Bobtsov

Received: 28.07.2021
Revised: 01.11.2021
Accepted: 27.01.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 4, Pages 548–578
DOI: https://doi.org/10.1134/S000511792204004X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Glushchenko, K. A. Lastochkin, V. A. Petrov, “Exponentially stable adaptive control. Part I. Time-invariant plants”, Avtomat. i Telemekh., 2022, no. 4, 62–99; Autom. Remote Control, 83:4 (2022), 548–578
Citation in format AMSBIB
\Bibitem{GluLasPet22}
\by A.~I.~Glushchenko, K.~A.~Lastochkin, V.~A.~Petrov
\paper Exponentially stable adaptive control. Part I. Time-invariant plants
\jour Avtomat. i Telemekh.
\yr 2022
\issue 4
\pages 62--99
\mathnet{http://mi.mathnet.ru/at15760}
\crossref{https://doi.org/10.31857/S0005231022040055}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4444968}
\edn{https://elibrary.ru/AARMRT}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 4
\pages 548--578
\crossref{https://doi.org/10.1134/S000511792204004X}
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  • https://www.mathnet.ru/eng/at/y2022/i4/p62
    Cycle of papers
    This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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