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Adaptive synchronization of fractional-order chaotic system via sliding mode control

Zhang Ruo-Xun Cao He-Fei

Adaptive synchronization of fractional-order chaotic system via sliding mode control

Zhang Ruo-Xun, Cao He-Fei
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  • Received Date:  05 July 2010
  • Accepted Date:  11 August 2010
  • Published Online:  15 May 2011

Adaptive synchronization of fractional-order chaotic system via sliding mode control

  • 1. (1)College of Physics, Hebei Normal University, Shijiazhuang 050016, China; College of Elementary Education, Xingtai University, Xingtai 054001, China; (2)College of Physics, Hebei Normal University, Shijiazhuang 050016, China; Department of Physics, Shijiazhuang College, Shijiazhuang 050035, China

Abstract: Based on sliding mode control theory and adaptive control theory, this paper investigates the synchronization of three-dimensional chaotic systems, designs a fractional order proportional integral switching surface, and proposes a single adaptive-feedback controller for fractional-order chaos synchronization. Simulation results for fractional-order unified chaotic system and Arneodo chaotic systems are provided to illustrate the effectiveness of the proposed scheme.

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