分数阶整数阶多混沌系统的自适应滑模同步

毛北行

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

研究论文 | 更新时间：2023-11-01

- 分数阶整数阶多混沌系统的自适应滑模同步
- Self-adaptive sliding mode synchronization of fractional-order and integer-order uncertain multi-chaotic systems
- 中山大学学报(自然科学版) 2020年59卷第4期页码：128-133
- 作者机构：
  
  郑州航空工业管理学院数学学院，河南郑州 450015
- 作者简介：
  
  毛北行 (1976年生)，男；研究方向:分数阶系统混沌同步；E-mail:bxmao329@163.com
- 基金信息：
  
  国家自然科学青年基金(11801528;41906003);河南省高校重点基础研究专项(20ZX003)
- DOI：10.13471/j.cnki.acta.snus.2019.09.17.2019B089
  中图分类号： O482.4
- 纸质出版日期：2020-07-20，
  
  收稿日期：2019-09-17，
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毛北行.分数阶整数阶多混沌系统的自适应滑模同步[J].中山大学学报(自然科学版),2020,59(04):128-133.

MAO Beixing.Self-adaptive sliding mode synchronization of fractional-order and integer-order uncertain multi-chaotic systems[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(04):128-133.
毛北行.分数阶整数阶多混沌系统的自适应滑模同步[J].中山大学学报(自然科学版),2020,59(04):128-133. DOI： 10.13471/j.cnki.acta.snus.2019.09.17.2019B089.

MAO Beixing.Self-adaptive sliding mode synchronization of fractional-order and integer-order uncertain multi-chaotic systems[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(04):128-133. DOI： 10.13471/j.cnki.acta.snus.2019.09.17.2019B089.

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。

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.

关键词

自适应高阶滑模多混沌

Keywords

self-apaptivehigh-ordersliding modemulti-chaotic

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