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

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Chaos Control, Synchronization, Lyapunov Stability Theory, Adaptive Control, Barbalat’s Lemma, Chaotic system.
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Azizan Saaban
Date Deposited:	26 Jul 2015 04:31
Last Modified:	27 Apr 2016 07:26
URI:	https://repo.uum.edu.my/id/eprint/14891

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