Journal of Shandong University(Engineering Science) ›› 2020, Vol. 50 ›› Issue (5): 7-12.doi: 10.6040/j.issn.1672-3961.0.2019.395

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Sliding mode synchronization of fractional-order T chaotic systems with logarithmic

MENG Xiaoling, MAO Beixing   

  1. College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, Henan, China
  • Published:2020-10-19

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Abstract: By using the Barbalat lemma and fractional-order stability theory, and constructing proper fractional-order sliding mode surface and fractional-order proportion integral sliding mode surface, the controllers were designed to realize the synchronization control of integer model and fractional-order T chaotic systems. The research conclusion illustrated that the derive-responsive systems of fractional-order T chaotic systems could get sliding mode synchronization under certain conditions. MATLAB numerical simulation proved the correctness of the conclusions.

Key words: fractional-order, T chaotic system, sliding mode synchronization, Barbalat lemma, sliding surface

CLC Number: 

  • O482.4
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