中山大学学报(自然科学版) ›› 2020, Vol. 59 ›› Issue (4): 128-133.doi: 10.13471/j.cnki.acta.snus.2019.09.17.2019B089

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分数阶整数阶多混沌系统的自适应滑模同步

毛北行
  

  1. 郑州航空工业管理学院数学学院,河南 郑州 450015
  • 收稿日期:2019-09-17 出版日期:2020-07-25 发布日期:2020-07-25
  • 作者简介:毛北行 (1976年生),男;研究方向:分数阶系统混沌同步;Email:bxmao329@163.com

Self-adaptive sliding mode synchronization of fractional-order and integer-order uncertain multi-chaotic systems 

MAO Beixing    

  1. College of Mathematics, Zhengzhou University of AeronauticsZhengzhou 450015China
  • Received:2019-09-17 Online:2020-07-25 Published:2020-07-25

摘要: 利用自适应滑模方法研究具有不确定性和外扰下一类分数阶整数阶多混沌系统的同步。通过设计滑模函数及控制律,获得整数阶及分数阶多混沌系统自适应滑模同步的充分条件,并用数值仿真对所取得的结果进行了验证。

关键词: 自适应, 高阶, 滑模, 多混沌

Abstract: In this paper, we study synchronization of a class of fractional-order and integer-order multi-chaotic systems with uncertainties models and external disturbances using self-adaptive sliding mode approach. And the sufficient conditions were arrived for fractional-order and integer- order multi-chaotic systems getting self-adaptive sliding mode synchronization by design sliding mode functions and control laws. Numerical simulation demonstrate the correctness of the conclusion.

Key words: self-apaptive,  , high-order,  , sliding mode,  , multi-chaotic

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