Synchronization of Chaotic Fractional – Order Systemswith Different Orders Using ASMC

Abstract

In this paper the main objective is to investigate on chaotic behavior of fractionalorder Chen. It has been shown that this problem could lead to synchronization of two master and slave systems with the different fractional-order. We propose a controller based on active sliding mode control (ASMC) theory to synchronize chaotic fractional-order systems in master-slave structure based on stability theorems in the fractional calculus, analysis of stability is performed for the proposed method. Finally, numerical simulations (synchronizing fractionalorder Chen-Chen systems) are presented to show the effectiveness of the proposed controller.