Abstract: This article proposes an adaptive synchronization method with only one controller for the fractional-order unified chaotic system, and adaptive controller and updating law of parameter are obtained. The controller employs a single variable, and the presented control scheme is suitable for a class of fractional-order chaotic systems. In addition, the synchronization is effective in the presence of noise. Numerical simulations are used to validate and demonstrate the effectiveness of the proposed method.

Keywords: 
• fractional-order /
• unified chaotic system /
• adaptive synchronization