Sampled-data stabilization of chaotic systems based on a T-S fuzzy model
This paper investigates the problem of stability and stabilization of a class of chaotic system through the use of sampled-data control. By employing a Takagi–Sugeno (T-S) fuzzy model to describe the chaotic system and using a time-dependent Lyapunov function, an exponential stability condition is d...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc
2019
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| Online Access: | http://hdl.handle.net/20.500.11937/74444 |
| _version_ | 1848763276399214592 |
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| author | Zeng, H. Teo, Kok Lay He, Y. Wang, W. |
| author_facet | Zeng, H. Teo, Kok Lay He, Y. Wang, W. |
| author_sort | Zeng, H. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper investigates the problem of stability and stabilization of a class of chaotic system through the use of sampled-data control. By employing a Takagi–Sugeno (T-S) fuzzy model to describe the chaotic system and using a time-dependent Lyapunov function, an exponential stability condition is derived for the resulting closed-loop systems with input saturation constraint. Based on this condition, a fuzzy sampled-data controller is designed to stabilize the systems under consideration. The results obtained in this paper are based on the actual characteristic of sampling model. They depend explicitly on both the upper and lower bounds of sampling intervals. The chaotic Lorenz system is considered and solved by using the proposed approach so as to demonstrate the benefits and the superiority of the proposed approach over existing methods. |
| first_indexed | 2025-11-14T11:00:53Z |
| format | Journal Article |
| id | curtin-20.500.11937-74444 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:00:53Z |
| publishDate | 2019 |
| publisher | Elsevier Inc |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-744442019-08-22T07:09:40Z Sampled-data stabilization of chaotic systems based on a T-S fuzzy model Zeng, H. Teo, Kok Lay He, Y. Wang, W. This paper investigates the problem of stability and stabilization of a class of chaotic system through the use of sampled-data control. By employing a Takagi–Sugeno (T-S) fuzzy model to describe the chaotic system and using a time-dependent Lyapunov function, an exponential stability condition is derived for the resulting closed-loop systems with input saturation constraint. Based on this condition, a fuzzy sampled-data controller is designed to stabilize the systems under consideration. The results obtained in this paper are based on the actual characteristic of sampling model. They depend explicitly on both the upper and lower bounds of sampling intervals. The chaotic Lorenz system is considered and solved by using the proposed approach so as to demonstrate the benefits and the superiority of the proposed approach over existing methods. 2019 Journal Article http://hdl.handle.net/20.500.11937/74444 10.1016/j.ins.2019.01.046 Elsevier Inc restricted |
| spellingShingle | Zeng, H. Teo, Kok Lay He, Y. Wang, W. Sampled-data stabilization of chaotic systems based on a T-S fuzzy model |
| title | Sampled-data stabilization of chaotic systems based on a T-S fuzzy model |
| title_full | Sampled-data stabilization of chaotic systems based on a T-S fuzzy model |
| title_fullStr | Sampled-data stabilization of chaotic systems based on a T-S fuzzy model |
| title_full_unstemmed | Sampled-data stabilization of chaotic systems based on a T-S fuzzy model |
| title_short | Sampled-data stabilization of chaotic systems based on a T-S fuzzy model |
| title_sort | sampled-data stabilization of chaotic systems based on a t-s fuzzy model |
| url | http://hdl.handle.net/20.500.11937/74444 |