Robust fault detection of Markovian jump systems with partly unknown transition probabilities
A linear full-order robust fault detection observer is designed to solve the robust fault detection problem of Markovian jump systems with partly unknown transition probabilities. Free-connection weighting matrices are introduced to robust fault detection observer design, which reduces the conservat...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/52361 |
| _version_ | 1848758909547839488 |
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| author | Chen, F. Yin, YanYan Liu, F. |
| author_facet | Chen, F. Yin, YanYan Liu, F. |
| author_sort | Chen, F. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A linear full-order robust fault detection observer is designed to solve the robust fault detection problem of Markovian jump systems with partly unknown transition probabilities. Free-connection weighting matrices are introduced to robust fault detection observer design, which reduces the conservatism caused by fixed-connection weighting matrices. A series of linear matrix inequalities (LMIs) which ensure the system's stochastic asymptotic stability are obtained by using the constructed Lyapunov function. Based on that, a sufficient condition for the existence of the robust fault detection observer system is given and proved. Furthermore, an optimization design approach is also derived. A simulation example is given to show that the designed robust fault detection observer can not only detect the faults quickly and sensitively, but also respond robustly to unknown disturbances. |
| first_indexed | 2025-11-14T09:51:29Z |
| format | Journal Article |
| id | curtin-20.500.11937-52361 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:51:29Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-523612017-09-13T15:40:24Z Robust fault detection of Markovian jump systems with partly unknown transition probabilities Chen, F. Yin, YanYan Liu, F. A linear full-order robust fault detection observer is designed to solve the robust fault detection problem of Markovian jump systems with partly unknown transition probabilities. Free-connection weighting matrices are introduced to robust fault detection observer design, which reduces the conservatism caused by fixed-connection weighting matrices. A series of linear matrix inequalities (LMIs) which ensure the system's stochastic asymptotic stability are obtained by using the constructed Lyapunov function. Based on that, a sufficient condition for the existence of the robust fault detection observer system is given and proved. Furthermore, an optimization design approach is also derived. A simulation example is given to show that the designed robust fault detection observer can not only detect the faults quickly and sensitively, but also respond robustly to unknown disturbances. 2014 Journal Article http://hdl.handle.net/20.500.11937/52361 10.3969/j.issn.1001-506X.2014.09.24 restricted |
| spellingShingle | Chen, F. Yin, YanYan Liu, F. Robust fault detection of Markovian jump systems with partly unknown transition probabilities |
| title | Robust fault detection of Markovian jump systems with partly unknown transition probabilities |
| title_full | Robust fault detection of Markovian jump systems with partly unknown transition probabilities |
| title_fullStr | Robust fault detection of Markovian jump systems with partly unknown transition probabilities |
| title_full_unstemmed | Robust fault detection of Markovian jump systems with partly unknown transition probabilities |
| title_short | Robust fault detection of Markovian jump systems with partly unknown transition probabilities |
| title_sort | robust fault detection of markovian jump systems with partly unknown transition probabilities |
| url | http://hdl.handle.net/20.500.11937/52361 |