电子学报 ›› 2020, Vol. 48 ›› Issue (11): 2215-2219.DOI: 10.3969/j.issn.0372-2112.2020.11.017

• 学术论文 • 上一篇    下一篇

分数阶多混沌系统滑模同步两种方法的比较

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:2019-10-01 修回日期:2020-02-05 出版日期:2020-11-25 发布日期:2020-11-25
  • 作者简介:毛北行 男,汉族,教授,硕士,生于1976年,河南省孟津人,电子协会会员,自动化协会会员,研究领域:分数阶混沌系统.E-mail:bxmao329@163.com
  • 基金资助:
    国家自然科学青年基金(No.11801528,No.41906003);航空科学基金(No.2016ZG55019);河南省高校重点基础研究专项(No.20ZX003);河南省大学生创新创业训练计划(No.S201910485026)

Two Methods Contrast of Sliding Mode Synchronization of Fractional-Order Multy-Chaotic Systems

MAO Bei-xing   

  1. School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, Henan 450015, China
  • Received:2019-10-01 Revised:2020-02-05 Online:2020-11-25 Published:2020-11-25
  • Supported by:
     

摘要: 研究分数阶多混沌系统滑模同步两种方法的比较.分别设计了分数阶滑模面和非奇异终端滑模面,并证明了其稳定性.基于自适应方法设计了控制器和适应规则,得到分数阶多混沌系统取得滑模同步的两个充分条件.并用数值仿真对结论进行了验证.

 

关键词: 自适应, 非线性, 滑模, 同步

Abstract: Two methods contrast of sliding mode synchronization of fractional-order nonlinear systems were studied in the paper.We proposed fractional-order sliding surface and nonsingular terminal sliding surface and prove its stability.The controllers and adaptive rules are derived based self-adaptive sliding mode methods.And the sufficient conditions were arrived for fractional-order Multy-Chaotic systems getting self-adaptive sliding mode synchronization.A numerical simulation demonstrate the correctness of the conclusion.

Key words: self-apaptive, nonlinear, sliding mode, synchroinization

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