A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems

Joseph Chang Lun Chan; Tae H. Lee; Chee Pin Tan; Hieu Trinh; Ju H. Park

doi:10.1109/ACCESS.2021.3056136

A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems

Joseph Chang Lun Chan, Tae H. Lee, Chee Pin Tan, Hieu Trinh, Ju H. Park

Malaysia School of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

20 Citations (Scopus)

Abstract

This article introduces a nonlinear observer to reconstruct faults in a class of nonlinear descriptor systems affected by disturbances, in both the state and output equations. The fault enters the system through nonlinear functions in both its state and output equations. The original system is first transformed such that design freedom in its structure is easier to exploit, and then a nonlinear observer is designed based on the transformed system to reconstruct the fault. Linear matrix inequalities are used to determine the gains of the observer such that the effect of the disturbances on the fault reconstruction is bounded. Finally, three simulation examples are carried out to verify the effectiveness of the scheme.

Original language	English
Title of host publication	Second International Non- linear Dynamics Conference (NODYCON 2021)
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	22455-22469
Number of pages	15
Volume	9
DOIs	https://doi.org/10.1109/ACCESS.2021.3056136
Publication status	Published - 2021
Event	International Nonlinear Dynamics Conference 2021 - Rome, Italy Duration: 16 Feb 2021 → 19 Feb 2021 Conference number: 2nd http://www.nodycon.org/2021/

Publication series

Name	IEEE Access
Publisher	IEEE, Institute of Electrical and Electronics Engineers
ISSN (Print)	2169-3536

Conference

Conference	International Nonlinear Dynamics Conference 2021
Abbreviated title	NODYCON 2021
Country/Territory	Italy
City	Rome
Period	16/02/21 → 19/02/21
Internet address	http://www.nodycon.org/2021/

Keywords

Fault detection
nonlinear systems
observers
uncertain systems

Access to Document

10.1109/ACCESS.2021.3056136Licence: CC BY

346859713-oaFinal published version, 1.03 MBLicence: CC BY

Cite this

Chan, J. C. L., Lee, T. H., Tan, C. P., Trinh, H., & Park, J. H. (2021). A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems. In Second International Non- linear Dynamics Conference (NODYCON 2021) (Vol. 9, pp. 22455-22469). (IEEE Access). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ACCESS.2021.3056136

Chan, Joseph Chang Lun ; Lee, Tae H. ; Tan, Chee Pin et al. / A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems. Second International Non- linear Dynamics Conference (NODYCON 2021). Vol. 9 IEEE, Institute of Electrical and Electronics Engineers, 2021. pp. 22455-22469 (IEEE Access).

@inproceedings{f50947b5ec354b51a6c11d7b26fe25f6,

title = "A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems",

abstract = "This article introduces a nonlinear observer to reconstruct faults in a class of nonlinear descriptor systems affected by disturbances, in both the state and output equations. The fault enters the system through nonlinear functions in both its state and output equations. The original system is first transformed such that design freedom in its structure is easier to exploit, and then a nonlinear observer is designed based on the transformed system to reconstruct the fault. Linear matrix inequalities are used to determine the gains of the observer such that the effect of the disturbances on the fault reconstruction is bounded. Finally, three simulation examples are carried out to verify the effectiveness of the scheme. ",

keywords = "Fault detection, nonlinear systems, observers, uncertain systems",

author = "Chan, \{Joseph Chang Lun\} and Lee, \{Tae H.\} and Tan, \{Chee Pin\} and Hieu Trinh and Park, \{Ju H.\}",

note = "Funding Information: This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean Government (MSIT) under Grant 2020R1C1C1012707. Publisher Copyright: {\textcopyright} 2013 IEEE. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; International Nonlinear Dynamics Conference 2021, NODYCON 2021 ; Conference date: 16-02-2021 Through 19-02-2021",

year = "2021",

doi = "10.1109/ACCESS.2021.3056136",

language = "English",

volume = "9",

series = "IEEE Access",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

pages = "22455--22469",

booktitle = "Second International Non- linear Dynamics Conference (NODYCON 2021)",

address = "United States of America",

url = "http://www.nodycon.org/2021/",

}

Chan, JCL, Lee, TH, Tan, CP, Trinh, H & Park, JH 2021, A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems. in Second International Non- linear Dynamics Conference (NODYCON 2021). vol. 9, IEEE Access, IEEE, Institute of Electrical and Electronics Engineers, pp. 22455-22469, International Nonlinear Dynamics Conference 2021, Rome, Italy, 16/02/21. https://doi.org/10.1109/ACCESS.2021.3056136

A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems. / Chan, Joseph Chang Lun; Lee, Tae H.; Tan, Chee Pin et al.
Second International Non- linear Dynamics Conference (NODYCON 2021). Vol. 9 IEEE, Institute of Electrical and Electronics Engineers, 2021. p. 22455-22469 (IEEE Access).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

TY - GEN

T1 - A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems

AU - Chan, Joseph Chang Lun

AU - Lee, Tae H.

AU - Tan, Chee Pin

AU - Trinh, Hieu

AU - Park, Ju H.

N1 - Conference code: 2nd

PY - 2021

Y1 - 2021

N2 - This article introduces a nonlinear observer to reconstruct faults in a class of nonlinear descriptor systems affected by disturbances, in both the state and output equations. The fault enters the system through nonlinear functions in both its state and output equations. The original system is first transformed such that design freedom in its structure is easier to exploit, and then a nonlinear observer is designed based on the transformed system to reconstruct the fault. Linear matrix inequalities are used to determine the gains of the observer such that the effect of the disturbances on the fault reconstruction is bounded. Finally, three simulation examples are carried out to verify the effectiveness of the scheme.

AB - This article introduces a nonlinear observer to reconstruct faults in a class of nonlinear descriptor systems affected by disturbances, in both the state and output equations. The fault enters the system through nonlinear functions in both its state and output equations. The original system is first transformed such that design freedom in its structure is easier to exploit, and then a nonlinear observer is designed based on the transformed system to reconstruct the fault. Linear matrix inequalities are used to determine the gains of the observer such that the effect of the disturbances on the fault reconstruction is bounded. Finally, three simulation examples are carried out to verify the effectiveness of the scheme.

KW - Fault detection

KW - nonlinear systems

KW - observers

KW - uncertain systems

UR - https://www.scopus.com/pages/publications/85100713935

U2 - 10.1109/ACCESS.2021.3056136

DO - 10.1109/ACCESS.2021.3056136

M3 - Conference Paper

AN - SCOPUS:85100713935

VL - 9

T3 - IEEE Access

SP - 22455

EP - 22469

BT - Second International Non- linear Dynamics Conference (NODYCON 2021)

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - International Nonlinear Dynamics Conference 2021

Y2 - 16 February 2021 through 19 February 2021

ER -

Chan JCL, Lee TH, Tan CP, Trinh H, Park JH. A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems. In Second International Non- linear Dynamics Conference (NODYCON 2021). Vol. 9. IEEE, Institute of Electrical and Electronics Engineers. 2021. p. 22455-22469. (IEEE Access). doi: 10.1109/ACCESS.2021.3056136

A nonlinear observer for robust fault reconstruction in one-sided Lipschitz and quadratically inner-bounded nonlinear descriptor systems

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Keywords

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