Sliding mode synchronization of an uncertain fractional order chaotic system

Authors:
S. H. Hosseinnia;R. Ghaderi;A. Ranjbar N.;M. Mahmoudian;S. Momani
Affiliations:
Intelligent System Research Group, Faculty of Electrical and Computer Engineering, Babol (Noushirvani) University of Technology, Babol, P.O. Box 47135-484, Iran;Intelligent System Research Group, Faculty of Electrical and Computer Engineering, Babol (Noushirvani) University of Technology, Babol, P.O. Box 47135-484, Iran;University of Golestan, Iran;Intelligent System Research Group, Faculty of Electrical and Computer Engineering, Babol (Noushirvani) University of Technology, Babol, P.O. Box 47135-484, Iran;Department of Mathematics, Mutah University, P.O. Box: 7, Al-Karak, Jordan
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

Synchronization of chaotic and uncertain Duffing-Holmes system has been done using the sliding mode control strategy. Regarding the synchronization task as a control problem, fractional order mathematics is used to express the system and 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 uncertain nonlinear chaotic systems.