Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes
This paper is concerned with the problem of delay-dependent finite-time H∞ filtering for Markovian jump systems with different system modes. By using the new augmented multiple mode-dependent Lyapunov-Krasovskii functional and employing the proposed integrals inequalities in the derivation of our re...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/269091 |
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| _version_ | 1832561636575019008 |
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| author | Yong Zeng Jun Cheng Shouming Zhong Xiucheng Dong |
| author_facet | Yong Zeng Jun Cheng Shouming Zhong Xiucheng Dong |
| author_sort | Yong Zeng |
| collection | DOAJ |
| description | This paper is concerned with the problem of delay-dependent finite-time H∞ filtering for Markovian jump systems with different system modes. By using the new augmented multiple mode-dependent Lyapunov-Krasovskii functional and employing the proposed integrals inequalities in the derivation of our results, a novel sufficient condition for finite-time boundness with an H∞ performance index is derived. Particularly, two different Markov processes have been considered for modeling the randomness of system matrix and the state delay. Based on the derived condition, the H∞ filtering problem is solved, and an explicit expression of the desired filter is also given; the system trajectory stays within a prescribed bound during a specified time interval. Finally, a numerical example is given to illustrate the effectiveness and the potential of the
proposed techniques. |
| format | Article |
| id | doaj-art-536749127bb94cb7bcdb4fe40c21b448 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-536749127bb94cb7bcdb4fe40c21b4482025-02-03T01:24:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/269091269091Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System ModesYong Zeng0Jun Cheng1Shouming Zhong2Xiucheng Dong3School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaKey Laboratory on Signal and Information Processing, Xihua University, Chengdu, Sichuan 610039, ChinaThis paper is concerned with the problem of delay-dependent finite-time H∞ filtering for Markovian jump systems with different system modes. By using the new augmented multiple mode-dependent Lyapunov-Krasovskii functional and employing the proposed integrals inequalities in the derivation of our results, a novel sufficient condition for finite-time boundness with an H∞ performance index is derived. Particularly, two different Markov processes have been considered for modeling the randomness of system matrix and the state delay. Based on the derived condition, the H∞ filtering problem is solved, and an explicit expression of the desired filter is also given; the system trajectory stays within a prescribed bound during a specified time interval. Finally, a numerical example is given to illustrate the effectiveness and the potential of the proposed techniques.http://dx.doi.org/10.1155/2013/269091 |
| spellingShingle | Yong Zeng Jun Cheng Shouming Zhong Xiucheng Dong Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes Journal of Applied Mathematics |
| title | Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes |
| title_full | Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes |
| title_fullStr | Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes |
| title_full_unstemmed | Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes |
| title_short | Delay-Dependent Finite-Time H∞ Filtering for Markovian Jump Systems with Different System Modes |
| title_sort | delay dependent finite time h∞ filtering for markovian jump systems with different system modes |
| url | http://dx.doi.org/10.1155/2013/269091 |
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