A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems

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...

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Main Authors: Joseph Chang Lun Chan, Tae H. Lee, Chee Pin Tan, Hieu Trinh, Ju H. Park
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9343835/
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author Joseph Chang Lun Chan
Tae H. Lee
Chee Pin Tan
Hieu Trinh
Ju H. Park
author_facet Joseph Chang Lun Chan
Tae H. Lee
Chee Pin Tan
Hieu Trinh
Ju H. Park
author_sort Joseph Chang Lun Chan
collection DOAJ
description 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.
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spelling doaj.art-7ff8f58aa4c7427dbe0ee49e46cf36692022-12-22T01:51:14ZengIEEEIEEE Access2169-35362021-01-019224552246910.1109/ACCESS.2021.30561369343835A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor SystemsJoseph Chang Lun Chan0https://orcid.org/0000-0001-5395-9379Tae H. Lee1https://orcid.org/0000-0003-3953-6913Chee Pin Tan2https://orcid.org/0000-0003-0162-3763Hieu Trinh3https://orcid.org/0000-0003-3438-9969Ju H. Park4https://orcid.org/0000-0002-0218-2333Division of Electronic Engineering, Jeonbuk National University, Jeonju, Republic of KoreaDivision of Electronic Engineering, Jeonbuk National University, Jeonju, Republic of KoreaSchool of Engineering and Advanced Engineering Platform, Monash University Malaysia, Bandar Sunway, MalaysiaSchool of Engineering, Deakin University, Geelong, VIC, AustraliaDepartment of Electrical Engineering, Yeungnam University, Gyeongsan, Republic of KoreaThis 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.https://ieeexplore.ieee.org/document/9343835/Fault detectionnonlinear systemsobserversuncertain systems
spellingShingle Joseph Chang Lun Chan
Tae H. Lee
Chee Pin Tan
Hieu Trinh
Ju H. Park
A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems
IEEE Access
Fault detection
nonlinear systems
observers
uncertain systems
title A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems
title_full A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems
title_fullStr A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems
title_full_unstemmed A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems
title_short A Nonlinear Observer for Robust Fault Reconstruction in One-Sided Lipschitz and Quadratically Inner-Bounded Nonlinear Descriptor Systems
title_sort nonlinear observer for robust fault reconstruction in one sided lipschitz and quadratically inner bounded nonlinear descriptor systems
topic Fault detection
nonlinear systems
observers
uncertain systems
url https://ieeexplore.ieee.org/document/9343835/
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