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>∞</sub> fil...
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Format: | Article |
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IEEE
2017-01-01
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Series: | IEEE Access |
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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>∞</sub> filtering problem by minimizing the error between residual and fault in H<sub>∞</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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format | Article |
id | doaj.art-76ca2f0864464f0c9ebb661bc8ca5d6b |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-12-14T11:36:25Z |
publishDate | 2017-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
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>∞</sub> filtering problem by minimizing the error between residual and fault in H<sub>∞</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 |