吉林大学学报(理学版) ›› 2022, Vol. 60 ›› Issue (2): 439-444.

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不确定大气分数阶混沌系统的自适应滑模同步

王春彦1, 邸金红1, 毛北行2   

  1. 1. 郑州航空工业管理学院 智能工程学院, 郑州 450015;
    2. 郑州航空工业管理学院 数学学院, 郑州 450015
  • 收稿日期:2021-02-15 出版日期:2022-03-26 发布日期:2022-03-26
  • 通讯作者: 王春彦 E-mail: wangchunyan555@163.com

Adaptive Sliding Mode Synchronization of Uncertain Fractional-Order Atmospheric Chaotic System

WANG Chunyan1, DI Jinhong1, MAO Beixing2   

  1. 1. College of Intelligent Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450015, China;
    2. College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China
  • Received:2021-02-15 Online:2022-03-26 Published:2022-03-26

摘要: 根据滑模理论研究不确定大气分数阶系统同步, 设计控制器和自适应控制律, 得到大气混沌系统取得自适应滑模同步的两个充分条件. 结果表明, 大气混沌系统在一定的假设条件下可取得自适应滑模同步.

关键词: 分数阶, 大气混沌, 不确定, 滑模

Abstract: The synchronization of uncertain atmospheric fractional-order systems was studied based on the sliding mode theory. The controllers and adaptive control laws were designed, and two sufficient conditions for adaptive sliding mode synchronization of atmospheric chaotic systems were obtained. The results show that the atmospheric chaotic systems can achieve adaptive sliding mode synchronization under certain assumptions.

Key words:  , fractional-order, atmospheric chaos, uncertain, sliding mode

中图分类号: 

  • O482.4