Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm
Controlling chaos is stabilizing one of the unstable periodic orbits either to its equilibrium point or to a stable periodic orbit by means of an appropriate continuous signal injected to the system. On the other hand, chaos synchronization refers to a procedure where two chaotic oscillators (either...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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International Science and Engineering Society
2014
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| Online Access: | https://repo.uum.edu.my/id/eprint/14891/1/90-388-1-PB.pdf |
| _version_ | 1825803440139272192 |
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| author | Ahmad, Israr Saaban, Azizan Ibrahim, Adyda Shahzad, Mohammad |
| author_facet | Ahmad, Israr Saaban, Azizan Ibrahim, Adyda Shahzad, Mohammad |
| author_sort | Ahmad, Israr |
| collection | UUM |
| description | Controlling chaos is stabilizing one of the unstable periodic orbits either to its equilibrium point or to a stable periodic orbit by means of an appropriate continuous signal injected to the system. On the other hand, chaos synchronization refers to a procedure where two chaotic oscillators (either identical or nonidentical) adjust a given property of their motion to a common behavior. This research paper concerns itself with the Adaptive Control and Synchronization of a new chaotic system with unknown parameters. Based on the Lyapunov Direct Method, the Adaptive Control Techniques are designed in such a way that the trajectory of the new chaotic system is globally stabilized to one of its equilibrium points of the uncontrolled system. Moreover, the Adaptive Control Law is also applied to achieve the synchronization state of two identical systems and two different chaotic systems with fully unknown parameters. The parameters identification, chaos control and synchronization of the chaotic system have been carried out simultaneously by the Adaptive Controller. All simulation results are carried out to corroborate the effectiveness and the robustness of the proposed methodology and possible feasibility for synchronizing two chaotic systems by using mathematica 9. |
| first_indexed | 2024-07-04T05:57:04Z |
| format | Article |
| id | uum-14891 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:57:04Z |
| publishDate | 2014 |
| publisher | International Science and Engineering Society |
| record_format | eprints |
| spelling | uum-148912016-04-27T07:26:14Z https://repo.uum.edu.my/id/eprint/14891/ Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm Ahmad, Israr Saaban, Azizan Ibrahim, Adyda Shahzad, Mohammad QA75 Electronic computers. Computer science Controlling chaos is stabilizing one of the unstable periodic orbits either to its equilibrium point or to a stable periodic orbit by means of an appropriate continuous signal injected to the system. On the other hand, chaos synchronization refers to a procedure where two chaotic oscillators (either identical or nonidentical) adjust a given property of their motion to a common behavior. This research paper concerns itself with the Adaptive Control and Synchronization of a new chaotic system with unknown parameters. Based on the Lyapunov Direct Method, the Adaptive Control Techniques are designed in such a way that the trajectory of the new chaotic system is globally stabilized to one of its equilibrium points of the uncontrolled system. Moreover, the Adaptive Control Law is also applied to achieve the synchronization state of two identical systems and two different chaotic systems with fully unknown parameters. The parameters identification, chaos control and synchronization of the chaotic system have been carried out simultaneously by the Adaptive Controller. All simulation results are carried out to corroborate the effectiveness and the robustness of the proposed methodology and possible feasibility for synchronizing two chaotic systems by using mathematica 9. International Science and Engineering Society 2014 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/14891/1/90-388-1-PB.pdf Ahmad, Israr and Saaban, Azizan and Ibrahim, Adyda and Shahzad, Mohammad (2014) Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm. International Journal of Advances in Telecommunications, Electrotechnics, Signals and Systems, 3 (2). pp. 53-62. ISSN 1805-5443 http://doi.org/10.11601/ijates.v3i2.90 doi:10.11601/ijates.v3i2.90 doi:10.11601/ijates.v3i2.90 |
| spellingShingle | QA75 Electronic computers. Computer science Ahmad, Israr Saaban, Azizan Ibrahim, Adyda Shahzad, Mohammad Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm |
| title | Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm |
| title_full | Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm |
| title_fullStr | Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm |
| title_full_unstemmed | Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm |
| title_short | Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm |
| title_sort | chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/14891/1/90-388-1-PB.pdf |
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