Abstract—Synchronization of chaotic and Chen system has been done using the active sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and active sliding mode for synchronization. It has been shown that, not only the performance of the proposed method is satisfying with an acceptable level of control signal, but also a rather simple stability analysis is performed. The latter is usually a complicated task for nonlinear chaotic systems.
Index Terms—Order derivative.
Mahboubeh Moghaddas, Esmaeil Sameni, Nemat Changizi, and Toktam Lotfi are with the mahboubeh moghaddas is with Young Researchers Club, Gonabad Branch, Islamic Azad University, Gonabad, Iran (e-mail: E.ESMAEIL.SAMENI@gmail.com).
Esmaeil Sameni, Nemat Changizi, and Toktam Lotfi are with Department of control engineering Islamic Azad University, Gonabad Branch, Iran.
Cite: Mahboubeh Moghaddas, Esmaeil Sameni, Nemat Changizi, Toktam Lotfi Esmaeil Sameni, Nemat Changizi, and Toktam Lotfi, "Synchronization of Chaotic Fractional – Order Systems," International Journal of Computer Theory and Engineering vol. 4, no. 3, pp. 436-437, 2012.