JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2017, Vol. 47 ›› Issue (4): 31-36.doi: 10.6040/j.issn.1672-3961.0.2016.327

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Self-adaptive sliding mode control of fractional-order Victor-Carmen chaotic systems

MAO Beixing, CHENG Chunrui   

  1. College of Science, Zhengzhou University of Aeronautics, Zhengzhou 450015, Henan, China
  • Received:2016-10-18 Online:2017-08-20 Published:2016-10-18

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Abstract: The problem of sliding mode synchronization of fractional-order Victor-Carmen systems was studied using self-adaptive sliding mode control approach based on fractional-order calculus theory. The fractional-order slding mode function was designed, the controllers and the strict proof in mathematics using Lyapunov stability theory were given. Two sufficient conditions were arrived for the fractional order systems getting sliding model synchronization. The research conclusion illustrated that fractional-order multi-scroll systems was sliding mode chaos synchronization under proper controllers and sliding mode surface.The numerical simulations demonsrrated the effectiveness of the proposed method.

Key words: fractional-order, Victor-Carmen systems, chaos synchronization, sliding mode

CLC Number: 

  • O482.4
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