Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach
This paper addresses the problem of robust fuzzy L2 - L∞ filtering for a class of uncertain nonlinear discretetime Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi–Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncer...
| Main Authors: | , , , , |
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| Format: | Journal Article |
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Institute of Electrical and Electronics Engineers
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/42887 |
| _version_ | 1848756540608086016 |
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| author | Yin, Y. Shi, Peng Liu, F. Teo, Kok Lay Lim, C. |
| author_facet | Yin, Y. Shi, Peng Liu, F. Teo, Kok Lay Lim, C. |
| author_sort | Yin, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper addresses the problem of robust fuzzy L2 - L∞ filtering for a class of uncertain nonlinear discretetime Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi–Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncertainties. In order to decrease conservation, a polytope Lyapunov function which evolves as a convex function is employed, and then, 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 that it has a prescribed L2 - L∞ performance index. Two simulated examples are given to demonstrate the effectiveness and advantages of the proposed techniques. |
| first_indexed | 2025-11-14T09:13:50Z |
| format | Journal Article |
| id | curtin-20.500.11937-42887 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:13:50Z |
| publishDate | 2015 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-428872018-10-18T00:59:05Z Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach Yin, Y. Shi, Peng Liu, F. Teo, Kok Lay Lim, C. uncertain nonlinear system nonhomogeneous processes Markov jump system (MJS) Fuzzy L2 - L∞ filtering This paper addresses the problem of robust fuzzy L2 - L∞ filtering for a class of uncertain nonlinear discretetime Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi–Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncertainties. In order to decrease conservation, a polytope Lyapunov function which evolves as a convex function is employed, and then, 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 that it has a prescribed L2 - L∞ performance index. Two simulated examples are given to demonstrate the effectiveness and advantages of the proposed techniques. 2015 Journal Article http://hdl.handle.net/20.500.11937/42887 10.1109/TCYB.2014.2358680 Institute of Electrical and Electronics Engineers fulltext |
| spellingShingle | uncertain nonlinear system nonhomogeneous processes Markov jump system (MJS) Fuzzy L2 - L∞ filtering Yin, Y. Shi, Peng Liu, F. Teo, Kok Lay Lim, C. Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach |
| title | Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach |
| title_full | Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach |
| title_fullStr | Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach |
| title_full_unstemmed | Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach |
| title_short | Robust Filtering for Nonlinear Nonhomogeneous Markov Jump Systems by Fuzzy Approximation Approach |
| title_sort | robust filtering for nonlinear nonhomogeneous markov jump systems by fuzzy approximation approach |
| topic | uncertain nonlinear system nonhomogeneous processes Markov jump system (MJS) Fuzzy L2 - L∞ filtering |
| url | http://hdl.handle.net/20.500.11937/42887 |