Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems
This paper studies the problem of robust fuzzy H∞ filtering for a class of uncertain nonlinear discrete-time Markov jump systems with nonhomogeneous jump transition probabilities. The Takagi and Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous Markov jump system with norm-bo...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
ELSEVIER SCIENCE BV
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/8261 |
| _version_ | 1848745603742302208 |
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| author | Yin, Y. Shi, P. Liu, F. Teo, Kok Lay |
| author_facet | Yin, Y. Shi, P. Liu, F. Teo, Kok Lay |
| author_sort | Yin, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper studies the problem of robust fuzzy H∞ filtering for a class of uncertain nonlinear discrete-time Markov jump systems with nonhomogeneous jump transition probabilities. The Takagi and Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous Markov jump system with norm-bounded parameter uncertainties. By Lyapunov function approach, under the designed mode-dependent and variation-dependent fuzzy filter which includes the membership functions, a sufficient condition is presented to ensure that the filtering error dynamic system is stochastically stable and has a prescribed H∞ performance index. An example is given to demonstrate the effectiveness and advantages of the proposed techniques. |
| first_indexed | 2025-11-14T06:19:59Z |
| format | Journal Article |
| id | curtin-20.500.11937-8261 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:19:59Z |
| publishDate | 2013 |
| publisher | ELSEVIER SCIENCE BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-82612019-05-23T07:13:50Z Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems Yin, Y. Shi, P. Liu, F. Teo, Kok Lay This paper studies the problem of robust fuzzy H∞ filtering for a class of uncertain nonlinear discrete-time Markov jump systems with nonhomogeneous jump transition probabilities. The Takagi and Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous Markov jump system with norm-bounded parameter uncertainties. By Lyapunov function approach, under the designed mode-dependent and variation-dependent fuzzy filter which includes the membership functions, a sufficient condition is presented to ensure that the filtering error dynamic system is stochastically stable and has a prescribed H∞ performance index. An example is given to demonstrate the effectiveness and advantages of the proposed techniques. 2013 Journal Article http://hdl.handle.net/20.500.11937/8261 10.1016/j.sigpro.2013.03.003 ELSEVIER SCIENCE BV restricted |
| spellingShingle | Yin, Y. Shi, P. Liu, F. Teo, Kok Lay Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems |
| title | Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems |
| title_full | Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems |
| title_fullStr | Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems |
| title_full_unstemmed | Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems |
| title_short | Fuzzy model-based robust H∞ filtering for a class of nonlinear nonhomogeneous Markov jump systems |
| title_sort | fuzzy model-based robust h∞ filtering for a class of nonlinear nonhomogeneous markov jump systems |
| url | http://hdl.handle.net/20.500.11937/8261 |