Abstract: For the projective synchronization of fractional-order chaotic systems，a controller based on active sliding mode theory is presented. Based on the stability theory of fractional-order linear system，stability of the proposed method is analysed. Two cases of projective synchronization，i.e.identical fractional-order Liu-Liu systems and different fractional-order Chen-Liu systems，are implemented separately. The simulation results show the effectiveness of the proposed controller.

Keywords: 
• fractional-order chaotic system /
• sliding mode control /
• projective synchronization