Anti-Synchronization of Chaotic Systems via Adaptive Sliding Mode Control

doi:10.1088/0256-307X/29/12/120505

Chin. Phys. Lett.

2012, Vol. 29

Issue (12): 120505 DOI: 10.1088/0256-307X/29/12/120505

GENERAL

Anti-Synchronization of Chaotic Systems via Adaptive Sliding Mode Control

Wafaa Jawaada¹, M. S. M. Noorani¹, M. Mossa Al-sawalha²

¹School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
²Faculty of Science, Mathematics Department, University of Hail, Kingdom of Saudi Arabia

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Wafaa Jawaada, M. S. M. Noorani, M. Mossa Al-sawalha 2012 Chin. Phys. Lett. 29 120505

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Abstract An anti-synchronization scheme is proposed to achieve the anti-synchronization behavior between chaotic systems with fully unknown parameters. A sliding surface and an adaptive sliding mode controller are designed to gain the anti-synchronization. The stability of the error dynamics is proven theoretically using the Lyapunov stability theory. Finally numerical results are presented to justify the theoretical analysis.

Received: 18 April 2012 Published: 04 March 2013

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	47.52.+j	(Chaos in fluid dynamics)
	89.75.-k	(Complex systems)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/12/120505 OR https://cpl.iphy.ac.cn/Y2012/V29/I12/120505

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	Wafaa Jawaada
	M. S. M. Noorani
	M. Mossa Al-sawalha

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