Data‐driven sensor fault detection and isolation of nonlinear systems: Deep neural‐network Koopman operator

Abstract This paper proposes a data‐driven sensor fault detection and isolation approach for the general class of nonlinear systems. The proposed method uses deep neural network architecture to obtain an invariant set of basis functions for the Koopman operator to form a linear predictor for a nonli...

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Main Authors: Mohammadhosein Bakhtiaridoust, Fatemeh Negar Irani, Meysam Yadegar, Nader Meskin
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:IET Control Theory & Applications
Online Access:https://doi.org/10.1049/cth2.12366
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author Mohammadhosein Bakhtiaridoust
Fatemeh Negar Irani
Meysam Yadegar
Nader Meskin
author_facet Mohammadhosein Bakhtiaridoust
Fatemeh Negar Irani
Meysam Yadegar
Nader Meskin
author_sort Mohammadhosein Bakhtiaridoust
collection DOAJ
description Abstract This paper proposes a data‐driven sensor fault detection and isolation approach for the general class of nonlinear systems. The proposed method uses deep neural network architecture to obtain an invariant set of basis functions for the Koopman operator to form a linear predictor for a nonlinear system. Then, the obtained Koopman predictor has been used in a geometric framework for sensor fault detection and isolation purposes without relying on a priori knowledge about the underlying dynamics as well as requiring faulty data, leading to a data‐driven sensor fault detection and isolation framework for nonlinear systems. Finally, the approach's efficacy is demonstrated using simulation case study on a two‐degree of freedom robot arm.
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spelling doaj.art-68e288ed57f84f00a061551d859e003d2023-01-12T04:30:37ZengWileyIET Control Theory & Applications1751-86441751-86522023-01-0117212313210.1049/cth2.12366Data‐driven sensor fault detection and isolation of nonlinear systems: Deep neural‐network Koopman operatorMohammadhosein Bakhtiaridoust0Fatemeh Negar Irani1Meysam Yadegar2Nader Meskin3Department of Electrical and Computer Engineering Qom University of Technology Qom IranDepartment of Electrical and Computer Engineering Qom University of Technology Qom IranDepartment of Electrical and Computer Engineering Qom University of Technology Qom IranDepartment of Electrical Engineering Qatar University Doha QatarAbstract This paper proposes a data‐driven sensor fault detection and isolation approach for the general class of nonlinear systems. The proposed method uses deep neural network architecture to obtain an invariant set of basis functions for the Koopman operator to form a linear predictor for a nonlinear system. Then, the obtained Koopman predictor has been used in a geometric framework for sensor fault detection and isolation purposes without relying on a priori knowledge about the underlying dynamics as well as requiring faulty data, leading to a data‐driven sensor fault detection and isolation framework for nonlinear systems. Finally, the approach's efficacy is demonstrated using simulation case study on a two‐degree of freedom robot arm.https://doi.org/10.1049/cth2.12366
spellingShingle Mohammadhosein Bakhtiaridoust
Fatemeh Negar Irani
Meysam Yadegar
Nader Meskin
Data‐driven sensor fault detection and isolation of nonlinear systems: Deep neural‐network Koopman operator
IET Control Theory & Applications
title Data‐driven sensor fault detection and isolation of nonlinear systems: Deep neural‐network Koopman operator
title_full Data‐driven sensor fault detection and isolation of nonlinear systems: Deep neural‐network Koopman operator
title_fullStr Data‐driven sensor fault detection and isolation of nonlinear systems: Deep neural‐network Koopman operator
title_full_unstemmed Data‐driven sensor fault detection and isolation of nonlinear systems: Deep neural‐network Koopman operator
title_short Data‐driven sensor fault detection and isolation of nonlinear systems: Deep neural‐network Koopman operator
title_sort data driven sensor fault detection and isolation of nonlinear systems deep neural network koopman operator
url https://doi.org/10.1049/cth2.12366
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