Journal of Shandong University(Engineering Science) ›› 2020, Vol. 50 ›› Issue (4): 40-45.doi: 10.6040/j.issn.1672-3961.0.2019.282

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Sliding mode synchronization of fractional-order Rucklidge systems with unknown parameters based on a new type of reaching law

WANG Chunyan1, DI Jinhong1, MAO Beixing2   

  1. 1. School of Intelligent Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450015, Henan, China;
    2. College of Mathemtics, Zhengzhou University of Aeronautics, Zhengzhou 450015, Henan, China
  • Published:2020-08-13

Abstract: The problem of self-adaptive sliding mode synchronization of uncertainty fractional-order Rucklidge systems based on a new reaching law was studied with the fractional-order calculus theory. The sufficient conditions were concluded for drive-response systems to get sliding mode chaos synchronization by sliding mode approach. It was proved that drive-response systems were chaos synchronization under proper controllers and sliding mode function. Numerical simulations results verified the feasibility and effectiveness of the proposed method.

Key words: fractional-order Rucklidge systems, self-adaptive sliding mode, chaos synchronization, a new reaching law

CLC Number: 

  • O415.5
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