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

作者：Zhang Ruoxun; Yang Shiping^*

来源：Nonlinear Dynamics, 2011, 66(4): 831-837.

DOI：10.1007/s11071-011-9944-2

• Sliding mode control
• Fractional-order chaotic system
• Fractional integral sliding surface
• Adaptive synchronization

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.

• 出版日期2011-12
• 单位邢台学院; 河北师范大学