Jordan Canonical Form for Solving the Fault Diagnosis and Estimation Problems
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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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 Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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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 -