Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities
© 2016 IEEE.The problem of robust fault detection (RFD) for nonlinear discrete-time Markovian jump systems (MJSs) with partly unknown transition probabilities is investigated in the paper. With the method of T-S fuzzy linearization, the original systems are described as a set of local linear models....
| Main Authors: | , , |
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| Format: | Conference Paper |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/52152 |
| _version_ | 1848758858211655680 |
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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 IEEE.The problem of robust fault detection (RFD) for nonlinear discrete-time Markovian jump systems (MJSs) with partly unknown transition probabilities is investigated in the paper. With the method of T-S fuzzy linearization, the original systems are described as a set of local linear models. 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. A sufficient condition is first established on the stochastic stability using stochastic Lyapunov-krasovskii function, then in the terms of linear matrix inequalities techniques, the sufficient conditions on the existence of RFDO are presented and proved. Finally, A simulation example is given to illustrate that the proposed RFDO can detect the faults correctly and shortly after the occurrence. |
| first_indexed | 2025-11-14T09:50:40Z |
| format | Conference Paper |
| id | curtin-20.500.11937-52152 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:40Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-521522017-09-13T15:39:04Z Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities Shi, J. Yin, YanYan Liu, F. © 2016 IEEE.The problem of robust fault detection (RFD) for nonlinear discrete-time Markovian jump systems (MJSs) with partly unknown transition probabilities is investigated in the paper. With the method of T-S fuzzy linearization, the original systems are described as a set of local linear models. 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. A sufficient condition is first established on the stochastic stability using stochastic Lyapunov-krasovskii function, then in the terms of linear matrix inequalities techniques, the sufficient conditions on the existence of RFDO are presented and proved. 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/20.500.11937/52152 10.1109/WCICA.2016.7578334 restricted |
| spellingShingle | Shi, J. Yin, YanYan Liu, F. Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities |
| title | Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities |
| title_full | Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities |
| title_fullStr | Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities |
| title_full_unstemmed | Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities |
| title_short | Robust fault detection for nonlinear discrete-time Markovian jump systems with partly unknown transition probabilities |
| title_sort | robust fault detection for nonlinear discrete-time markovian jump systems with partly unknown transition probabilities |
| url | http://hdl.handle.net/20.500.11937/52152 |