Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying Delay
The robust filtering problem for a class of uncertain discrete-time fuzzy stochastic systems with sensor nonlinearities and time-varying delay is investigated. The parameter uncertainties are assumed to be time varying norm bounded in both the state and measurement equations. By using the Lyapunov s...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/402480 |
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| _version_ | 1832545962930733056 |
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| author | Mingang Hua Pei Cheng Juntao Fei Jianyong Zhang Junfeng Chen |
| author_facet | Mingang Hua Pei Cheng Juntao Fei Jianyong Zhang Junfeng Chen |
| author_sort | Mingang Hua |
| collection | DOAJ |
| description | The robust filtering problem for a class of uncertain discrete-time fuzzy stochastic systems with sensor nonlinearities and time-varying delay is investigated. The parameter uncertainties are assumed to be time varying norm bounded in both the state and measurement equations. By using the Lyapunov stability theory and some new relaxed techniques, sufficient conditions are proposed to guarantee the robustly stochastic stability with a prescribed H∞ performance level of the filtering error system for all admissible uncertainties, sensor nonlinearities, and time-varying delays. These conditions are dependent on the lower and upper bounds of the time-varying delays and are obtained in terms of a linear matrix inequality (LMI). Finally, two simulation examples are provided to illustrate the effectiveness of the proposed methods. |
| format | Article |
| id | doaj-art-f5f59689a10948aa836916b62d39e459 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f5f59689a10948aa836916b62d39e4592025-02-03T07:24:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/402480402480Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying DelayMingang Hua0Pei Cheng1Juntao Fei2Jianyong Zhang3Junfeng Chen4College of Computer and Information, Hohai University, Changzhou 213022, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaCollege of Computer and Information, Hohai University, Changzhou 213022, ChinaDepartment of Mathematics and Physics, Hohai University, Changzhou 213022, ChinaCollege of Computer and Information, Hohai University, Changzhou 213022, ChinaThe robust filtering problem for a class of uncertain discrete-time fuzzy stochastic systems with sensor nonlinearities and time-varying delay is investigated. The parameter uncertainties are assumed to be time varying norm bounded in both the state and measurement equations. By using the Lyapunov stability theory and some new relaxed techniques, sufficient conditions are proposed to guarantee the robustly stochastic stability with a prescribed H∞ performance level of the filtering error system for all admissible uncertainties, sensor nonlinearities, and time-varying delays. These conditions are dependent on the lower and upper bounds of the time-varying delays and are obtained in terms of a linear matrix inequality (LMI). Finally, two simulation examples are provided to illustrate the effectiveness of the proposed methods.http://dx.doi.org/10.1155/2012/402480 |
| spellingShingle | Mingang Hua Pei Cheng Juntao Fei Jianyong Zhang Junfeng Chen Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying Delay Journal of Applied Mathematics |
| title | Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying Delay |
| title_full | Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying Delay |
| title_fullStr | Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying Delay |
| title_full_unstemmed | Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying Delay |
| title_short | Robust H∞ Filtering for Uncertain Discrete-Time Fuzzy Stochastic Systems with Sensor Nonlinearities and Time-Varying Delay |
| title_sort | robust h∞ filtering for uncertain discrete time fuzzy stochastic systems with sensor nonlinearities and time varying delay |
| url | http://dx.doi.org/10.1155/2012/402480 |
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