Jordan Canonical Form for Solving the Fault Diagnosis and Estimation Problems

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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Jordan Canonical Form for Solving the Fault Diagnosis and Estimation Problems. / Sergiyenko, Oleg; Zhirabok, Alexey; Mercorelli, Paolo et al.
in: Technologies, Jahrgang 11, Nr. 3, 72, 03.06.2023.

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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Sergiyenko O, Zhirabok A, Mercorelli P, Zuev A, Filaretov V, Tyrsa V. Jordan Canonical Form for Solving the Fault Diagnosis and Estimation Problems. Technologies. 2023 Jun 3;11(3):72. doi: 10.3390/technologies11030072

Bibtex

@article{40fa90d38e214bbbb6453afc497e19a6,
title = "Jordan Canonical Form for Solving the Fault Diagnosis and Estimation Problems",
abstract = "The suggested methods for solving fault diagnosis and estimation problems are based on the use of the Jordan canonical form. The diagnostic observer, virtual sensor, interval, and sliding mode observer design problems are considered. Algorithms have been developed to solve these problems for both linear and nonlinear systems, considering the presence of external disturbances and measurement noise. It has been shown that the Jordan canonical form allows reducing the dimensions of interval observers and virtual sensors, thus simplifying the design process in comparison to the identification canonical form. The theoretical results are illustrated through examples.",
keywords = "diagnosis, dynamic systems, estimation, faults, Jordan canonical form, Engineering",
author = "Oleg Sergiyenko and Alexey Zhirabok and Paolo Mercorelli and Alexander Zuev and Vladimir Filaretov and Vera Tyrsa",
note = "This research was funded by the Russian Science Foundation, project no. 23-29-00191 (https://rscf.ru/en/project/23-29-00191/, accessed on 1 January 2023). Publisher Copyright: {\textcopyright} 2023 by the authors.",
year = "2023",
month = jun,
day = "3",
doi = "10.3390/technologies11030072",
language = "English",
volume = "11",
journal = "Technologies",
issn = "2227-7080",
publisher = "MDPI AG",
number = "3",

}

RIS

TY - JOUR

T1 - Jordan Canonical Form for Solving the Fault Diagnosis and Estimation Problems

AU - Sergiyenko, Oleg

AU - Zhirabok, Alexey

AU - Mercorelli, Paolo

AU - Zuev, Alexander

AU - Filaretov, Vladimir

AU - Tyrsa, Vera

N1 - This research was funded by the Russian Science Foundation, project no. 23-29-00191 (https://rscf.ru/en/project/23-29-00191/, accessed on 1 January 2023). Publisher Copyright: © 2023 by the authors.

PY - 2023/6/3

Y1 - 2023/6/3

N2 - The suggested methods for solving fault diagnosis and estimation problems are based on the use of the Jordan canonical form. The diagnostic observer, virtual sensor, interval, and sliding mode observer design problems are considered. Algorithms have been developed to solve these problems for both linear and nonlinear systems, considering the presence of external disturbances and measurement noise. It has been shown that the Jordan canonical form allows reducing the dimensions of interval observers and virtual sensors, thus simplifying the design process in comparison to the identification canonical form. The theoretical results are illustrated through examples.

AB - The suggested methods for solving fault diagnosis and estimation problems are based on the use of the Jordan canonical form. The diagnostic observer, virtual sensor, interval, and sliding mode observer design problems are considered. Algorithms have been developed to solve these problems for both linear and nonlinear systems, considering the presence of external disturbances and measurement noise. It has been shown that the Jordan canonical form allows reducing the dimensions of interval observers and virtual sensors, thus simplifying the design process in comparison to the identification canonical form. The theoretical results are illustrated through examples.

KW - diagnosis

KW - dynamic systems

KW - estimation

KW - faults

KW - Jordan canonical form

KW - Engineering

UR - http://www.scopus.com/inward/record.url?scp=85163684988&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0413ba3d-a6c2-37e4-8c91-14f2708f1860/

U2 - 10.3390/technologies11030072

DO - 10.3390/technologies11030072

M3 - Journal articles

AN - SCOPUS:85163684988

VL - 11

JO - Technologies

JF - Technologies

SN - 2227-7080

IS - 3

M1 - 72

ER -

DOI