Robust Nonfragile H∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach
This paper investigates the problem of robust nonfragile fuzzy H∞ filtering for uncertain Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Attention is focused on the design of a filter such that the filtering error system preserves a prescribed H∞ performance, where the filter t...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/523462 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849434580194426880 |
|---|---|
| author | Xianzhong Xia Renfa Li Jiyao An |
| author_facet | Xianzhong Xia Renfa Li Jiyao An |
| author_sort | Xianzhong Xia |
| collection | DOAJ |
| description | This paper investigates the problem of robust nonfragile fuzzy H∞ filtering for uncertain Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Attention is focused on the design of a filter such that the filtering error system preserves a prescribed H∞ performance, where the filter to be designed is assumed to have gain perturbations. By developing a delay decomposition approach, both lower and upper bound information of the delayed plant states can be taken into full consideration; the proposed delay-fractional-dependent stability condition for the filter error systems is obtained based on the direct Lyapunov method allied with an appropriate and variable Lyapunov-Krasovskii functional choice and with tighter upper bound of some integral terms in the derivation process. Then, a new robust nonfragile fuzzy H∞ filter scheme is proposed, and a sufficient condition for the existence of such a filter is established in terms of linear matrix inequalities (LMIs). Finally, some numerical examples are utilized to demonstrate the effectiveness and reduced conservatism of the proposed approach. |
| format | Article |
| id | doaj-art-e9f224f7773247ce8345df905a62e8be |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e9f224f7773247ce8345df905a62e8be2025-08-20T03:26:35ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/523462523462Robust Nonfragile H∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning ApproachXianzhong Xia0Renfa Li1Jiyao An2Key Laboratory of Embedded and Network Computing of Hunan Province, College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, ChinaKey Laboratory of Embedded and Network Computing of Hunan Province, College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, ChinaKey Laboratory of Embedded and Network Computing of Hunan Province, College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, ChinaThis paper investigates the problem of robust nonfragile fuzzy H∞ filtering for uncertain Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Attention is focused on the design of a filter such that the filtering error system preserves a prescribed H∞ performance, where the filter to be designed is assumed to have gain perturbations. By developing a delay decomposition approach, both lower and upper bound information of the delayed plant states can be taken into full consideration; the proposed delay-fractional-dependent stability condition for the filter error systems is obtained based on the direct Lyapunov method allied with an appropriate and variable Lyapunov-Krasovskii functional choice and with tighter upper bound of some integral terms in the derivation process. Then, a new robust nonfragile fuzzy H∞ filter scheme is proposed, and a sufficient condition for the existence of such a filter is established in terms of linear matrix inequalities (LMIs). Finally, some numerical examples are utilized to demonstrate the effectiveness and reduced conservatism of the proposed approach.http://dx.doi.org/10.1155/2014/523462 |
| spellingShingle | Xianzhong Xia Renfa Li Jiyao An Robust Nonfragile H∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach Abstract and Applied Analysis |
| title | Robust Nonfragile H∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach |
| title_full | Robust Nonfragile H∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach |
| title_fullStr | Robust Nonfragile H∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach |
| title_full_unstemmed | Robust Nonfragile H∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach |
| title_short | Robust Nonfragile H∞ Filtering for Uncertain T-S Fuzzy Systems with Interval Delay: A New Delay Partitioning Approach |
| title_sort | robust nonfragile h∞ filtering for uncertain t s fuzzy systems with interval delay a new delay partitioning approach |
| url | http://dx.doi.org/10.1155/2014/523462 |
| work_keys_str_mv | AT xianzhongxia robustnonfragilehfilteringforuncertaintsfuzzysystemswithintervaldelayanewdelaypartitioningapproach AT renfali robustnonfragilehfilteringforuncertaintsfuzzysystemswithintervaldelayanewdelaypartitioningapproach AT jiyaoan robustnonfragilehfilteringforuncertaintsfuzzysystemswithintervaldelayanewdelaypartitioningapproach |