Fault Detection for Markovian Jump Systems With Partially Available and Unmatched Modes

In this paper, the fault detection problem for a class of continuous-time Markovian jump systems is considered. A residual generator is constructed by a fault detection filter. The corresponding fault detection and isolation (FDI) problem is converted into an H<sub>&#x221E;</sub> fil...

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Main Authors: Guoliang Wang, Chenglong Yin
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8000299/
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author Guoliang Wang
Chenglong Yin
author_facet Guoliang Wang
Chenglong Yin
author_sort Guoliang Wang
collection DOAJ
description In this paper, the fault detection problem for a class of continuous-time Markovian jump systems is considered. A residual generator is constructed by a fault detection filter. The corresponding fault detection and isolation (FDI) problem is converted into an H<sub>&#x221E;</sub> filtering problem by minimizing the error between residual and fault in H<sub>&#x221E;</sub> sense. Particularly, the filter designed here is neither mode-dependent nor mode-dependent, whose operation mode is partially available but unmatched. Sufficient conditions for the existence of an FDI filter are derived in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential application of the developed theoretical results.
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spelling doaj.art-76ca2f0864464f0c9ebb661bc8ca5d6b2022-12-21T23:03:02ZengIEEEIEEE Access2169-35362017-01-015149431495110.1109/ACCESS.2017.27350278000299Fault Detection for Markovian Jump Systems With Partially Available and Unmatched ModesGuoliang Wang0https://orcid.org/0000-0003-3236-2404Chenglong Yin1School of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaIn this paper, the fault detection problem for a class of continuous-time Markovian jump systems is considered. A residual generator is constructed by a fault detection filter. The corresponding fault detection and isolation (FDI) problem is converted into an H<sub>&#x221E;</sub> filtering problem by minimizing the error between residual and fault in H<sub>&#x221E;</sub> sense. Particularly, the filter designed here is neither mode-dependent nor mode-dependent, whose operation mode is partially available but unmatched. Sufficient conditions for the existence of an FDI filter are derived in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential application of the developed theoretical results.https://ieeexplore.ieee.org/document/8000299/Markovian jumping systemsfault detection and isolationpartially available modeunmatched modelinear matrix inequality (LMI)
spellingShingle Guoliang Wang
Chenglong Yin
Fault Detection for Markovian Jump Systems With Partially Available and Unmatched Modes
IEEE Access
Markovian jumping systems
fault detection and isolation
partially available mode
unmatched mode
linear matrix inequality (LMI)
title Fault Detection for Markovian Jump Systems With Partially Available and Unmatched Modes
title_full Fault Detection for Markovian Jump Systems With Partially Available and Unmatched Modes
title_fullStr Fault Detection for Markovian Jump Systems With Partially Available and Unmatched Modes
title_full_unstemmed Fault Detection for Markovian Jump Systems With Partially Available and Unmatched Modes
title_short Fault Detection for Markovian Jump Systems With Partially Available and Unmatched Modes
title_sort fault detection for markovian jump systems with partially available and unmatched modes
topic Markovian jumping systems
fault detection and isolation
partially available mode
unmatched mode
linear matrix inequality (LMI)
url https://ieeexplore.ieee.org/document/8000299/
work_keys_str_mv AT guoliangwang faultdetectionformarkovianjumpsystemswithpartiallyavailableandunmatchedmodes
AT chenglongyin faultdetectionformarkovianjumpsystemswithpartiallyavailableandunmatchedmodes