Incipient Fault Detection and Reconstruction Using an Adaptive Sliding-Mode Observer for the Actuators of Fixed-Wing Aircraft

This paper proposes a new method of detection and reconstruction of the incipient fault of fixed-wing actuators based on an adaptive sliding-mode observer. First, a mathematical model of a fixed-wing aircraft is derived under certain assumptions, considering nonlinear terms and system disturbances....

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Main Authors: Lina Wang, Wen Zhao, Zhenbao Liu, Qingqing Dang, Xu Zou, Kai Wang
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/10/5/422
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author Lina Wang
Wen Zhao
Zhenbao Liu
Qingqing Dang
Xu Zou
Kai Wang
author_facet Lina Wang
Wen Zhao
Zhenbao Liu
Qingqing Dang
Xu Zou
Kai Wang
author_sort Lina Wang
collection DOAJ
description This paper proposes a new method of detection and reconstruction of the incipient fault of fixed-wing actuators based on an adaptive sliding-mode observer. First, a mathematical model of a fixed-wing aircraft is derived under certain assumptions, considering nonlinear terms and system disturbances. Second, by introducing a nonsingular coordinate transformation, the incipient faults are separated from the disturbances. For a subsystem with no disturbances, the Luenberger observer can estimate the incipient fault. For a subsystem with disturbances, the sliding-mode observer is robust against these disturbances. The Lyapunov stability theory guarantees dynamic error convergence and system stability. The evaluation function was designed to realize residual evaluation and threshold judgment. Third, based on the concept of equivalent output injection, an adaptive sliding-mode observer method is proposed to reconstruct actuator faults precisely under the condition of the uncertain system structure. The design steps of the proposed reconstruction method are introduced in the form of a linear matrix inequality problem, which provides an effective method for calculating the design parameters. Finally, the simulation results of the De Havilland DHC-2 “Beaver” aircraft demonstrate the correctness and effectiveness of the proposed method.
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spelling doaj.art-889e764dae9f40e191c1ec4600578b682023-05-26T13:20:39ZengMDPI AGAerospace2226-43102023-04-011042242210.3390/aerospace10050422Incipient Fault Detection and Reconstruction Using an Adaptive Sliding-Mode Observer for the Actuators of Fixed-Wing AircraftLina Wang0Wen Zhao1Zhenbao Liu2Qingqing Dang3Xu Zou4Kai Wang5School of Civil Aviation, Northwestern Polytechnical University, Xi’an 710021, ChinaSchool of Civil Aviation, Northwestern Polytechnical University, Xi’an 710021, ChinaSchool of Civil Aviation, Northwestern Polytechnical University, Xi’an 710021, ChinaSchool of Civil Aviation, Northwestern Polytechnical University, Xi’an 710021, ChinaSchool of Civil Aviation, Northwestern Polytechnical University, Xi’an 710021, ChinaSchool of Civil Aviation, Northwestern Polytechnical University, Xi’an 710021, ChinaThis paper proposes a new method of detection and reconstruction of the incipient fault of fixed-wing actuators based on an adaptive sliding-mode observer. First, a mathematical model of a fixed-wing aircraft is derived under certain assumptions, considering nonlinear terms and system disturbances. Second, by introducing a nonsingular coordinate transformation, the incipient faults are separated from the disturbances. For a subsystem with no disturbances, the Luenberger observer can estimate the incipient fault. For a subsystem with disturbances, the sliding-mode observer is robust against these disturbances. The Lyapunov stability theory guarantees dynamic error convergence and system stability. The evaluation function was designed to realize residual evaluation and threshold judgment. Third, based on the concept of equivalent output injection, an adaptive sliding-mode observer method is proposed to reconstruct actuator faults precisely under the condition of the uncertain system structure. The design steps of the proposed reconstruction method are introduced in the form of a linear matrix inequality problem, which provides an effective method for calculating the design parameters. Finally, the simulation results of the De Havilland DHC-2 “Beaver” aircraft demonstrate the correctness and effectiveness of the proposed method.https://www.mdpi.com/2226-4310/10/5/422fault reconstructionfault detectionactuator faultlinear matrix inequalityobserver
spellingShingle Lina Wang
Wen Zhao
Zhenbao Liu
Qingqing Dang
Xu Zou
Kai Wang
Incipient Fault Detection and Reconstruction Using an Adaptive Sliding-Mode Observer for the Actuators of Fixed-Wing Aircraft
Aerospace
fault reconstruction
fault detection
actuator fault
linear matrix inequality
observer
title Incipient Fault Detection and Reconstruction Using an Adaptive Sliding-Mode Observer for the Actuators of Fixed-Wing Aircraft
title_full Incipient Fault Detection and Reconstruction Using an Adaptive Sliding-Mode Observer for the Actuators of Fixed-Wing Aircraft
title_fullStr Incipient Fault Detection and Reconstruction Using an Adaptive Sliding-Mode Observer for the Actuators of Fixed-Wing Aircraft
title_full_unstemmed Incipient Fault Detection and Reconstruction Using an Adaptive Sliding-Mode Observer for the Actuators of Fixed-Wing Aircraft
title_short Incipient Fault Detection and Reconstruction Using an Adaptive Sliding-Mode Observer for the Actuators of Fixed-Wing Aircraft
title_sort incipient fault detection and reconstruction using an adaptive sliding mode observer for the actuators of fixed wing aircraft
topic fault reconstruction
fault detection
actuator fault
linear matrix inequality
observer
url https://www.mdpi.com/2226-4310/10/5/422
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AT wenzhao incipientfaultdetectionandreconstructionusinganadaptiveslidingmodeobserverfortheactuatorsoffixedwingaircraft
AT zhenbaoliu incipientfaultdetectionandreconstructionusinganadaptiveslidingmodeobserverfortheactuatorsoffixedwingaircraft
AT qingqingdang incipientfaultdetectionandreconstructionusinganadaptiveslidingmodeobserverfortheactuatorsoffixedwingaircraft
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AT kaiwang incipientfaultdetectionandreconstructionusinganadaptiveslidingmodeobserverfortheactuatorsoffixedwingaircraft