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Adaptive synchronization of fractional-order chaotic systems via a single driving variable

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Abstract

This letter investigates the synchronization of a class of three-dimensional fractional-order chaotic systems. Based on sliding mode variable structure control theory and adaptive control technique, a single-state adaptive-feedback controller containing a novel fractional integral sliding surface is developed to synchronize a class of fractional-order chaotic systems. The present controller, which only contains a single driving variable, is simple both in design and implementation. Simulation results for three fractional-order chaotic systems are provided to illustrate the effectiveness of the proposed scheme.

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Correspondence to Shiping Yang.

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Zhang, R., Yang, S. Adaptive synchronization of fractional-order chaotic systems via a single driving variable. Nonlinear Dyn 66, 831–837 (2011). https://doi.org/10.1007/s11071-011-9944-2

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  • DOI: https://doi.org/10.1007/s11071-011-9944-2

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