An Alternative Parity Space-Based Fault Diagnosability Analysis Approach for Linear Discrete Time Systems

This paper deals with the problem of parity space-based fault diagnosability analysis for linear discrete time systems. The main contribution lies in the design of the fault diagnosability evaluation indexes by combining the distance difference information with the direction difference information b...

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Main Authors: Yang Song, Maiying Zhong, Jie Chen, Yang Liu
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8319424/
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spelling doaj-4ecae5a0482945d0a68866e2388a5dab2021-03-29T20:41:09ZengIEEEIEEE Access2169-35362018-01-016161101611810.1109/ACCESS.2018.28169708319424An Alternative Parity Space-Based Fault Diagnosability Analysis Approach for Linear Discrete Time SystemsYang Song0https://orcid.org/0000-0003-1478-9316Maiying Zhong1Jie Chen2Yang Liu3School of Instrumentation Science and Opto-Electronics Engineering, Beihang University, Beijing, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, ChinaSchool of Instrumentation Science and Opto-Electronics Engineering, Beihang University, Beijing, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, ChinaThis paper deals with the problem of parity space-based fault diagnosability analysis for linear discrete time systems. The main contribution lies in the design of the fault diagnosability evaluation indexes by combining the distance difference information with the direction difference information between the residuals in different cases. Under the assumption that the unknown inputs are random white noises, the residual generation is achieved by the parity space-based fault diagnosis approach. Based on this, the problem of fault diagnosability analysis is formulated as a bank of evaluation problems of the difference information between two residuals in fault-free case or in different faulty cases. Then, the fault diagnosability evaluation indexes are proposed based on the integrated design of the distance similarity function and the direction similarity function between different residuals, and the improved fault isolation conditions are constructed to provide an auxiliary index for fault diagnosability analysis. A simulation is carried out on a fixed-wing unmanned aerial vehicle flight control system, and the results demonstrate that the proposed method can achieve fault diagnosability analysis accurately for the linear discrete time systems.https://ieeexplore.ieee.org/document/8319424/Parity spacefault diagnosabilityquantitative evaluationdistance similarity functiondirection similarity function
collection DOAJ
language English
format Article
sources DOAJ
author Yang Song
Maiying Zhong
Jie Chen
Yang Liu
spellingShingle Yang Song
Maiying Zhong
Jie Chen
Yang Liu
An Alternative Parity Space-Based Fault Diagnosability Analysis Approach for Linear Discrete Time Systems
IEEE Access
Parity space
fault diagnosability
quantitative evaluation
distance similarity function
direction similarity function
author_facet Yang Song
Maiying Zhong
Jie Chen
Yang Liu
author_sort Yang Song
title An Alternative Parity Space-Based Fault Diagnosability Analysis Approach for Linear Discrete Time Systems
title_short An Alternative Parity Space-Based Fault Diagnosability Analysis Approach for Linear Discrete Time Systems
title_full An Alternative Parity Space-Based Fault Diagnosability Analysis Approach for Linear Discrete Time Systems
title_fullStr An Alternative Parity Space-Based Fault Diagnosability Analysis Approach for Linear Discrete Time Systems
title_full_unstemmed An Alternative Parity Space-Based Fault Diagnosability Analysis Approach for Linear Discrete Time Systems
title_sort alternative parity space-based fault diagnosability analysis approach for linear discrete time systems
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2018-01-01
description This paper deals with the problem of parity space-based fault diagnosability analysis for linear discrete time systems. The main contribution lies in the design of the fault diagnosability evaluation indexes by combining the distance difference information with the direction difference information between the residuals in different cases. Under the assumption that the unknown inputs are random white noises, the residual generation is achieved by the parity space-based fault diagnosis approach. Based on this, the problem of fault diagnosability analysis is formulated as a bank of evaluation problems of the difference information between two residuals in fault-free case or in different faulty cases. Then, the fault diagnosability evaluation indexes are proposed based on the integrated design of the distance similarity function and the direction similarity function between different residuals, and the improved fault isolation conditions are constructed to provide an auxiliary index for fault diagnosability analysis. A simulation is carried out on a fixed-wing unmanned aerial vehicle flight control system, and the results demonstrate that the proposed method can achieve fault diagnosability analysis accurately for the linear discrete time systems.
topic Parity space
fault diagnosability
quantitative evaluation
distance similarity function
direction similarity function
url https://ieeexplore.ieee.org/document/8319424/
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