Sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observers

Quick and timely fault detection is of great importance in control systems reliability. Undetected faulty sensors could result in irreparable damages. Although fault detection and isolation (FDI) methods in control systems have received much attention in the last decade, these techniques have not be...

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Main Authors: Farideh Allahverdi, Amin Ramezani, Mehdi Forouzanfar
Format: Article
Language:English
Published: Taylor & Francis Group 2020-04-01
Series:Automatika
Subjects:
Online Access:http://dx.doi.org/10.1080/00051144.2019.1706911
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author Farideh Allahverdi
Amin Ramezani
Mehdi Forouzanfar
author_facet Farideh Allahverdi
Amin Ramezani
Mehdi Forouzanfar
author_sort Farideh Allahverdi
collection DOAJ
description Quick and timely fault detection is of great importance in control systems reliability. Undetected faulty sensors could result in irreparable damages. Although fault detection and isolation (FDI) methods in control systems have received much attention in the last decade, these techniques have not been applied for some classes of nonlinear systems yet. This paper deals with the issues of sensor fault detection and isolation for a class of Lipschitz uncertain nonlinear system. By introducing a coordinate transformation matrix for states and output, the original system is first divided into two subsystems. The first subsystem is affected by uncertainty and disturbance. The second subsystem just has sensor faults. The nonlinear term is separated to linear and pure nonlinear parts. For fault detection, two sliding mode observers (SMO) are designed for the two subsystems. The stability condition is obtained based on the Lyapunov approach. The necessary matrices and parameters are obtained by solving the linear matrix inequality (LMI) problem. Furthermore, two sliding mode observers are designed for fault isolation. Finally, the effectiveness of the proposed approach is illustrated by simulation examples.
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spelling doaj.art-dc688813da714f61aefaa4dfb1487ef92022-12-21T19:00:30ZengTaylor & Francis GroupAutomatika0005-11441848-33802020-04-0161221922810.1080/00051144.2019.17069111706911Sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observersFarideh Allahverdi0Amin Ramezani1Mehdi Forouzanfar2Ahvaz Branch, Islamic Azad UniversityAhvaz Branch, Islamic Azad UniversityAhvaz Branch, Islamic Azad UniversityQuick and timely fault detection is of great importance in control systems reliability. Undetected faulty sensors could result in irreparable damages. Although fault detection and isolation (FDI) methods in control systems have received much attention in the last decade, these techniques have not been applied for some classes of nonlinear systems yet. This paper deals with the issues of sensor fault detection and isolation for a class of Lipschitz uncertain nonlinear system. By introducing a coordinate transformation matrix for states and output, the original system is first divided into two subsystems. The first subsystem is affected by uncertainty and disturbance. The second subsystem just has sensor faults. The nonlinear term is separated to linear and pure nonlinear parts. For fault detection, two sliding mode observers (SMO) are designed for the two subsystems. The stability condition is obtained based on the Lyapunov approach. The necessary matrices and parameters are obtained by solving the linear matrix inequality (LMI) problem. Furthermore, two sliding mode observers are designed for fault isolation. Finally, the effectiveness of the proposed approach is illustrated by simulation examples.http://dx.doi.org/10.1080/00051144.2019.1706911fault detectionlipschitznonlinear systemsliding mode observerlmi
spellingShingle Farideh Allahverdi
Amin Ramezani
Mehdi Forouzanfar
Sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observers
Automatika
fault detection
lipschitz
nonlinear system
sliding mode observer
lmi
title Sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observers
title_full Sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observers
title_fullStr Sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observers
title_full_unstemmed Sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observers
title_short Sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observers
title_sort sensor fault detection and isolation for a class of uncertain nonlinear system using sliding mode observers
topic fault detection
lipschitz
nonlinear system
sliding mode observer
lmi
url http://dx.doi.org/10.1080/00051144.2019.1706911
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AT mehdiforouzanfar sensorfaultdetectionandisolationforaclassofuncertainnonlinearsystemusingslidingmodeobservers