Abstract—In this paper the main objective is to investigate on chaotic behavior of fractional – order Chen. It has been shown that this problem could lead to synchronization of two masterand 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 fractional – order Chen – Chen systems) are presented to show the effectiveness of the proposed controller.
Mojtdaba Rouhani and Ahmad Hajipoor are with the Department of control engineering Islamic Azad University, Gonabad Branch, Iran.
Mahbubeh Moghaddas is with the Islamic Azad University, Gonabad Branch, Iran.
Cite: Mojtdaba Rouhani, Mahbubeh Moghaddas, and Ahmad Hajipoor, "Synchronization of Chaotic Fractional – Order Systems with Different Orders Using ASMC," International Journal of Computer Theory and Engineering vol. 4, no. 3, pp. 415-417, 2012.