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Avtomatika i Telemekhanika, 2022, Issue 9, Pages 36–54
DOI: https://doi.org/10.31857/S0005231022090021 (Mi at15901) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Nonlinear Systems

Jordan canonical form in diagnosis and estimation problems

A. N. Zhirabokab, A. V. Zuevab, V. F. Filaretovc, A. E. Shumskyb, Kim Chkhun Irb

a Institute of Marine Technology Problems, Far-East Branch, Russian Academy of Sciences, Vladivostok, 690091 Russia
b Far Eastern Federal University, Vladivostok, 690090 Russia
c Institute of Automation and Control Processes, Far East Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
Full-text PDF (323 kB) First page Citations (11)
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DOI: https://doi.org/10.31857/S0005231022090021
Abstract: We propose a method for solving diagnosis and estimation problems based on the Jordan canonical form. The problems of constructing diagnostic observers, virtual sensors, and interval and sliding-mode observers are considered. Algorithms for solving these problems are designed for both linear and nonlinear systems in the presence of exogenous disturbances and measurement noise. It is shown that in some cases, the use of the Jordan canonical form reduces the complexity of the observers and sensors and simplifies the procedure for their synthesis compared with the identification canonical form. This is illustrated by a practical example.
Keywords: dynamical system, Jordan canonical form, fault, diagnosis, estimation.
Funding agency Grant number
Russian Science Foundation 22-29-01303
This work was supported by the Russian Science Foundation, project no. 22-29-01303.
Presented by the member of Editorial Board: A. A. Bobtsov

Received: 19.02.2022
Revised: 15.05.2022
Accepted: 10.06.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 9, Pages 1355–1370
DOI: https://doi.org/10.1134/S0005117922090028
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Zhirabok, A. V. Zuev, V. F. Filaretov, A. E. Shumsky, Kim Chkhun Ir, “Jordan canonical form in diagnosis and estimation problems”, Avtomat. i Telemekh., 2022, no. 9, 36–54; Autom. Remote Control, 83:9 (2022), 1355–1370
Citation in format AMSBIB
\Bibitem{ZhiZueFil22}
\by A.~N.~Zhirabok, A.~V.~Zuev, V.~F.~Filaretov, A.~E.~Shumsky, Kim~Chkhun~Ir
\paper Jordan canonical form in diagnosis and estimation problems
\jour Avtomat. i Telemekh.
\yr 2022
\issue 9
\pages 36--54
\mathnet{http://mi.mathnet.ru/at15901}
\crossref{https://doi.org/10.31857/S0005231022090021}
\edn{https://elibrary.ru/AILGQC}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 9
\pages 1355--1370
\crossref{https://doi.org/10.1134/S0005117922090028}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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