Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method
This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstep...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Iran University of Science and Technology
2012-09-01
|
| Series: | Iranian Journal of Electrical and Electronic Engineering |
| Subjects: | |
| Online Access: | http://ijeee.iust.ac.ir/browse.php?a_code=A-10-688-1&slc_lang=en&sid=1 |
| _version_ | 1811197934425866240 |
|---|---|
| author | A. Abooee M. R. Jahed Motlagh |
| author_facet | A. Abooee M. R. Jahed Motlagh |
| author_sort | A. Abooee |
| collection | DOAJ |
| description | This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furthermore, this method is applied to achieve hyperchaos synchronization of two identical hyperchaotic Wang systems. Also, it is used to implement global asymptotic synchronization between hyperchaotic Wang system and hyperchaotic Rössler system. Numerical simulations have been employed to verify the effectiveness of the three designed active backstepping control vectors. |
| first_indexed | 2024-04-12T01:22:44Z |
| format | Article |
| id | doaj.art-10b0eced65d14072a13f82fa4fc674d9 |
| institution | Directory Open Access Journal |
| issn | 1735-2827 2383-3890 |
| language | English |
| last_indexed | 2024-04-12T01:22:44Z |
| publishDate | 2012-09-01 |
| publisher | Iran University of Science and Technology |
| record_format | Article |
| series | Iranian Journal of Electrical and Electronic Engineering |
| spelling | doaj.art-10b0eced65d14072a13f82fa4fc674d92022-12-22T03:53:43ZengIran University of Science and TechnologyIranian Journal of Electrical and Electronic Engineering1735-28272383-38902012-09-0183217226Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping MethodA. Abooee0M. R. Jahed Motlagh1 Electrical Engineering Department, Iran University of Science and Technology, Tehran 16846-13114, Iran. Electrical Engineering Department, Iran University of Science and Technology, Tehran 16846-13114, Iran. This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furthermore, this method is applied to achieve hyperchaos synchronization of two identical hyperchaotic Wang systems. Also, it is used to implement global asymptotic synchronization between hyperchaotic Wang system and hyperchaotic Rössler system. Numerical simulations have been employed to verify the effectiveness of the three designed active backstepping control vectors.http://ijeee.iust.ac.ir/browse.php?a_code=A-10-688-1&slc_lang=en&sid=1Hyperchaotic System Identical Synchronization Backstepping Methods Rössler and Wang Systems |
| spellingShingle | A. Abooee M. R. Jahed Motlagh Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method Iranian Journal of Electrical and Electronic Engineering Hyperchaotic System Identical Synchronization Backstepping Methods Rössler and Wang Systems |
| title | Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method |
| title_full | Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method |
| title_fullStr | Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method |
| title_full_unstemmed | Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method |
| title_short | Identical and Nonidentical Synchronization of Hyperchaotic Systems by Active Backstepping Method |
| title_sort | identical and nonidentical synchronization of hyperchaotic systems by active backstepping method |
| topic | Hyperchaotic System Identical Synchronization Backstepping Methods Rössler and Wang Systems |
| url | http://ijeee.iust.ac.ir/browse.php?a_code=A-10-688-1&slc_lang=en&sid=1 |
| work_keys_str_mv | AT aabooee identicalandnonidenticalsynchronizationofhyperchaoticsystemsbyactivebacksteppingmethod AT mrjahedmotlagh identicalandnonidenticalsynchronizationofhyperchaoticsystemsbyactivebacksteppingmethod |