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

2012/06/12 by S. H. Hosseinnia, S. Hassan HosseinNia, Reza Ghaderi +8
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.48550/arxiv.1206.2414

Proc. of the 3rd IFAC Workshop on Fractional Differentiation and its Applications, Turkey, 2008

arxiv created 2012/06/12 · openalex publication_date 2012/06/12 · arxiv updated 2012/06/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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