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Anti-Synchronization of Chaotic Systems via Adaptive Sliding Mode Control

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2012 Chinese Physical Society and IOP Publishing Ltd
, , Citation Jawaada Wafaa et al 2012 Chinese Phys. Lett. 29 120505 DOI 10.1088/0256-307X/29/12/120505

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Author affiliations

1 School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

2 Faculty of Science, Mathematics Department, University of Hail, Kingdom of Saudi Arabia

Dates

  1. Received 18 April 2012
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0256-307X/29/12/120505

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.

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