吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (4): 937-942.

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分数阶和整数阶含对数项T混沌系统自适应滑模同步

孟晓玲, 毛北行   

  1. 郑州航空工业管理学院 数学学院, 郑州 450046
  • 收稿日期:2022-01-04 出版日期:2023-07-26 发布日期:2023-07-26
  • 通讯作者: 孟晓玲 E-mail:mengxiaol@126.com

Adaptive Sliding Mode Synchronization of Fractional-Order and Integer-Order T Chaotic Systems with Logarithmic Term

MENG Xiaoling, MAO Beixing   

  1. College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China
  • Received:2022-01-04 Online:2023-07-26 Published:2023-07-26

摘要: 对于三维含对数项的T混沌系统, 在分数阶稳定性理论的基础上, 利用微分学方法设计一个更合理简洁的滑模面. 在选定的控制器下, 使整数阶和分数阶T混沌系统达到同步, 并用MATLAB仿真程序进行仿真, 验证该方法的正确性.

关键词: 分数阶, 对数项, T系统, 整数阶

Abstract: For a three-dimensional T chaotic system with logarithmic term, on the basis of fractional-order stability theory, we used  differential 
method to design a more reasonable and concise sliding mode surface. The integer-order and fractional-order T chaotic systems were synchronized under the selected controller, and the MATLAB simulation program was used to verify the correctness of the method.

Key words: fractional-order, logarithmic term, T system, integer-order

中图分类号: 

  • O482.4