Robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities
© 2016 TCCT.The problem of robust fault detection (RFD) for discrete-time Markovian jump linear systems (MJLSs) with partly unknown transition probabilities is investigated in the paper. The RFD observer (RFDO) system and the dynamics of error generator are constructed. By introducing some free-weig...
| Main Authors: | , , |
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| Format: | Conference Paper |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/52837 |
| _version_ | 1848759022759444480 |
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| author | Shi, J. Yin, YanYan Liu, F. |
| author_facet | Shi, J. Yin, YanYan Liu, F. |
| author_sort | Shi, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016 TCCT.The problem of robust fault detection (RFD) for discrete-time Markovian jump linear systems (MJLSs) with partly unknown transition probabilities is investigated in the paper. The RFD observer (RFDO) system and the dynamics of error generator are constructed. By introducing some free-weighting matrices, the proposed method leads to less conservatism compared with the existing ones. Moreover, the H8 performance index is proposed to minimize the influence of the unknown disturbances. Sufficient conditions on the existence of RFDO are established and given in terms of LMIs. Finally, a simulation example is given to illustrate that the proposed RFDO can detect the faults correctly and shortly after the occurrence. |
| first_indexed | 2025-11-14T09:53:17Z |
| format | Conference Paper |
| id | curtin-20.500.11937-52837 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:53:17Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-528372017-09-13T15:40:23Z Robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities Shi, J. Yin, YanYan Liu, F. © 2016 TCCT.The problem of robust fault detection (RFD) for discrete-time Markovian jump linear systems (MJLSs) with partly unknown transition probabilities is investigated in the paper. The RFD observer (RFDO) system and the dynamics of error generator are constructed. By introducing some free-weighting matrices, the proposed method leads to less conservatism compared with the existing ones. Moreover, the H8 performance index is proposed to minimize the influence of the unknown disturbances. Sufficient conditions on the existence of RFDO are established and given in terms of LMIs. Finally, a simulation example is given to illustrate that the proposed RFDO can detect the faults correctly and shortly after the occurrence. 2016 Conference Paper http://hdl.handle.net/20.500.11937/52837 10.1109/ChiCC.2016.7553366 restricted |
| spellingShingle | Shi, J. Yin, YanYan Liu, F. Robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities |
| title | Robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities |
| title_full | Robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities |
| title_fullStr | Robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities |
| title_full_unstemmed | Robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities |
| title_short | Robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities |
| title_sort | robust fault detection for discrete-time markovian jump linear systems with partly unknown transition probabilities |
| url | http://hdl.handle.net/20.500.11937/52837 |