Synchronization of Uncertain Fractional-Order Duffing-Holmes Chaotic System via Sliding Mode Control
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.
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