Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances
Considering the effects of external perturbations on the state vector and the output of the original system, this paper proposes a new adaptive integral observer method to deal with chaos synchronization between the drive and response systems with unknown parameters. The analysis and proof are given...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/501421 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568178503319552 |
|---|---|
| author | Xiuchun Li Jianhua Gu Wei Xu |
| author_facet | Xiuchun Li Jianhua Gu Wei Xu |
| author_sort | Xiuchun Li |
| collection | DOAJ |
| description | Considering the effects of external perturbations on the state vector and the output of the original system, this paper proposes a new adaptive integral observer method to deal with chaos synchronization between the drive and response systems with unknown parameters. The analysis and proof are given by means of the Lyapunov stability theorem and Barbalat lemma. This approach has fewer constraints because many parameters related to chaotic system can be unknown, as shown in the paper. Numerical simulations are performed in the end and the results show that the proposed method is not only suitable to the representative chaotic systems but also applied to some neural network chaotic systems. |
| format | Article |
| id | doaj-art-dcb9d59cb98d4c74aa50bd27e2fc11b6 |
| 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-dcb9d59cb98d4c74aa50bd27e2fc11b62025-02-03T00:59:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/501421501421Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and DisturbancesXiuchun Li0Jianhua Gu1Wei Xu2Centre for High Performance Computing, Northwestern Polytechnical University, Xi’an 710072, ChinaCentre for High Performance Computing, Northwestern Polytechnical University, Xi’an 710072, ChinaDepartment of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, ChinaConsidering the effects of external perturbations on the state vector and the output of the original system, this paper proposes a new adaptive integral observer method to deal with chaos synchronization between the drive and response systems with unknown parameters. The analysis and proof are given by means of the Lyapunov stability theorem and Barbalat lemma. This approach has fewer constraints because many parameters related to chaotic system can be unknown, as shown in the paper. Numerical simulations are performed in the end and the results show that the proposed method is not only suitable to the representative chaotic systems but also applied to some neural network chaotic systems.http://dx.doi.org/10.1155/2013/501421 |
| spellingShingle | Xiuchun Li Jianhua Gu Wei Xu Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances Journal of Applied Mathematics |
| title | Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances |
| title_full | Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances |
| title_fullStr | Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances |
| title_full_unstemmed | Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances |
| title_short | Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances |
| title_sort | adaptive integral observer based synchronization for chaotic systems with unknown parameters and disturbances |
| url | http://dx.doi.org/10.1155/2013/501421 |
| work_keys_str_mv | AT xiuchunli adaptiveintegralobserverbasedsynchronizationforchaoticsystemswithunknownparametersanddisturbances AT jianhuagu adaptiveintegralobserverbasedsynchronizationforchaoticsystemswithunknownparametersanddisturbances AT weixu adaptiveintegralobserverbasedsynchronizationforchaoticsystemswithunknownparametersanddisturbances |