Synchronization of Uncertain Fractional-Order Duffing-Holmes Chaotic System via Sliding Mode Control
arXiv:1206.2414
Abstract
In this paper, a sliding mode controller is designed to synchronize a chaotic fractional-order system. To construct a corrective control input, a saturation function sat(.), with a modified sliding surface is proposed. Finally, Chaos in the Duffing-Holmes system with fractional orders is investigated, and a numerical simulation (synchronizing fractional-order Duffing-Holmes _ Duffing-Holmes system) are presented to show the effectiveness of the proposed controller.
Proc. of the 3rd IFAC Workshop on Fractional Differentiation and its Applications, Turkey, 2008