Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator

This paper considers the active fault isolation problem for a class of uncertain multimode fault systems with a high-dimensional state-space model. It has been observed that the existing approaches in the literature based on a steady-state active fault isolation method are often accompanied by a lar...

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Main Authors: Kezhen Han, Shaohang Lu, Zhengce Liu, Zipeng Wang
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/6/876
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author Kezhen Han
Shaohang Lu
Zhengce Liu
Zipeng Wang
author_facet Kezhen Han
Shaohang Lu
Zhengce Liu
Zipeng Wang
author_sort Kezhen Han
collection DOAJ
description This paper considers the active fault isolation problem for a class of uncertain multimode fault systems with a high-dimensional state-space model. It has been observed that the existing approaches in the literature based on a steady-state active fault isolation method are often accompanied by a large delay in making the correct isolation decision. To reduce such fault isolation latency significantly, this paper proposes a fast online active fault isolation method based on the construction of residual transient-state reachable set and transient-state separating hyperplane. The novelty and benefit of this strategy lies in the embedding of a new component called the set separation indicator, which is designed offline to distinguish the residual transient-state reachable sets of different system configurations at any given moment. Based on the results delivered by the set separation indicator, one can determine the specific moments at which the deterministic isolation is to be implemented during online diagnostics. Meanwhile, some alternative constant inputs can also be evaluated for isolation effects to determine better auxiliary excitation signals with smaller amplitudes and more differentiated separating hyperplanes. The validity of these results is verified by both a numerical comparison and an FPGA-in-loop experiment.
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spelling doaj.art-5ae10be444464ce09aa1577cff8eba4c2023-11-18T10:17:40ZengMDPI AGEntropy1099-43002023-05-0125687610.3390/e25060876Active Fault Isolation for Multimode Fault Systems Based on a Set Separation IndicatorKezhen Han0Shaohang Lu1Zhengce Liu2Zipeng Wang3School of Electrical Engineering, University of Jinan, Jinan 250022, ChinaSchool of Electrical Engineering, University of Jinan, Jinan 250022, ChinaSchool of Electrical Engineering, University of Jinan, Jinan 250022, ChinaInstitute of Artificial Intelligence, Faculty of Information Technology, Beijing University of Technology, Beijing 100124, ChinaThis paper considers the active fault isolation problem for a class of uncertain multimode fault systems with a high-dimensional state-space model. It has been observed that the existing approaches in the literature based on a steady-state active fault isolation method are often accompanied by a large delay in making the correct isolation decision. To reduce such fault isolation latency significantly, this paper proposes a fast online active fault isolation method based on the construction of residual transient-state reachable set and transient-state separating hyperplane. The novelty and benefit of this strategy lies in the embedding of a new component called the set separation indicator, which is designed offline to distinguish the residual transient-state reachable sets of different system configurations at any given moment. Based on the results delivered by the set separation indicator, one can determine the specific moments at which the deterministic isolation is to be implemented during online diagnostics. Meanwhile, some alternative constant inputs can also be evaluated for isolation effects to determine better auxiliary excitation signals with smaller amplitudes and more differentiated separating hyperplanes. The validity of these results is verified by both a numerical comparison and an FPGA-in-loop experiment.https://www.mdpi.com/1099-4300/25/6/876active fault isolationconstant auxiliary inputset separation indicatorresidual reachable settransient-state separating hyperplane
spellingShingle Kezhen Han
Shaohang Lu
Zhengce Liu
Zipeng Wang
Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator
Entropy
active fault isolation
constant auxiliary input
set separation indicator
residual reachable set
transient-state separating hyperplane
title Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator
title_full Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator
title_fullStr Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator
title_full_unstemmed Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator
title_short Active Fault Isolation for Multimode Fault Systems Based on a Set Separation Indicator
title_sort active fault isolation for multimode fault systems based on a set separation indicator
topic active fault isolation
constant auxiliary input
set separation indicator
residual reachable set
transient-state separating hyperplane
url https://www.mdpi.com/1099-4300/25/6/876
work_keys_str_mv AT kezhenhan activefaultisolationformultimodefaultsystemsbasedonasetseparationindicator
AT shaohanglu activefaultisolationformultimodefaultsystemsbasedonasetseparationindicator
AT zhengceliu activefaultisolationformultimodefaultsystemsbasedonasetseparationindicator
AT zipengwang activefaultisolationformultimodefaultsystemsbasedonasetseparationindicator