Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems

Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems

In this paper, the finite-frequency fault detection filter design for discrete-time switched systems is investigated. The frequencies of the faults and the unknown disturbance input are assumed to be finite and in three known intervals, qualified as low-, middle-, and high-frequency intervals. Based...

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Main Authors: Dongsheng Du, Shengyuan Xu, Vincent Cocquempot
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Fault detection filter
finite frequency domain
discrete-time switched system
Online Access:https://ieeexplore.ieee.org/document/8532352/
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spelling doaj-8829c5a8e92140cd9d975ce148ca29b52021-03-29T21:34:30ZengIEEEIEEE Access2169-35362018-01-016704877049610.1109/ACCESS.2018.28809588532352Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched SystemsDongsheng Du0https://orcid.org/0000-0001-8277-0364Shengyuan Xu1Vincent Cocquempot2Faculty of Automation, Huaiyin Institute of Technology, Huai&#x2019;an, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing, ChinaCNRS, Centrale Lille, UMR 9189, Centre de Recherche en Informatique Signal et Automatique de Lille, Univ. Lille, Lille, FranceIn this paper, the finite-frequency fault detection filter design for discrete-time switched systems is investigated. The frequencies of the faults and the unknown disturbance input are assumed to be finite and in three known intervals, qualified as low-, middle-, and high-frequency intervals. Based on the switched Lyapunov function and the generalized Kalman-Yakubovic-Popov lemma, efficient conditions are obtained to guarantee the existence of a finite-frequency fault detection filter, such that the error system is asymptotically stable with an H<sub>&#x221E;</sub>/H<sub>-</sub> performance index. Finally, a chemical reactor control system is employed to illustrate the obtained techniques.https://ieeexplore.ieee.org/document/8532352/Fault detection filterfinite frequency domaindiscrete-time switched system
collection DOAJ
language English
format Article
sources DOAJ
author Dongsheng Du
Shengyuan Xu
Vincent Cocquempot
spellingShingle Dongsheng Du
Shengyuan Xu
Vincent Cocquempot
Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems
IEEE Access
Fault detection filter
finite frequency domain
discrete-time switched system
author_facet Dongsheng Du
Shengyuan Xu
Vincent Cocquempot
author_sort Dongsheng Du
title Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems
title_short Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems
title_full Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems
title_fullStr Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems
title_full_unstemmed Finite-Frequency Fault Detection Filter Design for Discrete-Time Switched Systems
title_sort finite-frequency fault detection filter design for discrete-time switched systems
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2018-01-01
description In this paper, the finite-frequency fault detection filter design for discrete-time switched systems is investigated. The frequencies of the faults and the unknown disturbance input are assumed to be finite and in three known intervals, qualified as low-, middle-, and high-frequency intervals. Based on the switched Lyapunov function and the generalized Kalman-Yakubovic-Popov lemma, efficient conditions are obtained to guarantee the existence of a finite-frequency fault detection filter, such that the error system is asymptotically stable with an H<sub>&#x221E;</sub>/H<sub>-</sub> performance index. Finally, a chemical reactor control system is employed to illustrate the obtained techniques.
topic Fault detection filter
finite frequency domain
discrete-time switched system
url https://ieeexplore.ieee.org/document/8532352/
work_keys_str_mv AT dongshengdu finitefrequencyfaultdetectionfilterdesignfordiscretetimeswitchedsystems
AT shengyuanxu finitefrequencyfaultdetectionfilterdesignfordiscretetimeswitchedsystems
AT vincentcocquempot finitefrequencyfaultdetectionfilterdesignfordiscretetimeswitchedsystems
_version_ 1724192664936513536

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