Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties
This paper is concerned with the finite-time synchronization problem for two different chaotic systems with parameter uncertainties. Using finite-time control approach and robust control method, an adaptive synchronization scheme is proposed to make the synchronization errors of the systems with par...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/607491 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556964543987712 |
|---|---|
| author | Yun-An Hu Hai-Yan Li Chun-Ping Zhang Liang Liu |
| author_facet | Yun-An Hu Hai-Yan Li Chun-Ping Zhang Liang Liu |
| author_sort | Yun-An Hu |
| collection | DOAJ |
| description | This paper is concerned with the finite-time synchronization problem for two different chaotic systems with parameter uncertainties. Using finite-time control approach and robust control method, an adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. On the basis of Lyapunov stability theory, appropriate adaptive laws are derived to deal with the unknown parameters of the systems. And the convergence of the parameter errors is guaranteed in a finite time. The proposed method can be applied to a variety of chaos systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme. |
| format | Article |
| id | doaj-art-9225df04032745e2be19d4f74fb9ae0d |
| 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-9225df04032745e2be19d4f74fb9ae0d2025-02-03T05:43:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/607491607491Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter UncertaintiesYun-An Hu0Hai-Yan Li1Chun-Ping Zhang2Liang Liu3Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaDepartment of Control Engineering, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaDepartment of Control Engineering, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaDepartment of Control Engineering, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaThis paper is concerned with the finite-time synchronization problem for two different chaotic systems with parameter uncertainties. Using finite-time control approach and robust control method, an adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. On the basis of Lyapunov stability theory, appropriate adaptive laws are derived to deal with the unknown parameters of the systems. And the convergence of the parameter errors is guaranteed in a finite time. The proposed method can be applied to a variety of chaos systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.http://dx.doi.org/10.1155/2012/607491 |
| spellingShingle | Yun-An Hu Hai-Yan Li Chun-Ping Zhang Liang Liu Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties Journal of Applied Mathematics |
| title | Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties |
| title_full | Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties |
| title_fullStr | Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties |
| title_full_unstemmed | Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties |
| title_short | Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties |
| title_sort | robust adaptive finite time synchronization of two different chaotic systems with parameter uncertainties |
| url | http://dx.doi.org/10.1155/2012/607491 |
| work_keys_str_mv | AT yunanhu robustadaptivefinitetimesynchronizationoftwodifferentchaoticsystemswithparameteruncertainties AT haiyanli robustadaptivefinitetimesynchronizationoftwodifferentchaoticsystemswithparameteruncertainties AT chunpingzhang robustadaptivefinitetimesynchronizationoftwodifferentchaoticsystemswithparameteruncertainties AT liangliu robustadaptivefinitetimesynchronizationoftwodifferentchaoticsystemswithparameteruncertainties |