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分数阶不确定四翼混沌系统的自适应滑模同步

程春蕊 朱军辉 王东晓

华中师范大学学报(自然科学版)2018,Vol.52Issue(2):155-159,5.
华中师范大学学报(自然科学版)2018,Vol.52Issue(2):155-159,5.DOI:10.19603/j.cnki.1000-1190.2018.02.001

分数阶不确定四翼混沌系统的自适应滑模同步

Adaptive synchronization of fractional-order four-wings chaotic systems with uncertainties based on sliding mode control

程春蕊 1朱军辉 1王东晓1

作者信息

  • 1. 郑州航空工业管理学院理学院,郑州450015
  • 折叠

摘要

Abstract

A sliding mode controller is proposed for the adaptive synchronization of a class of fractional order four wings chaotic systems with uncertainties.The Caputo's fractional derivative is adopted.A non singular fractional-order sliding surface is introduced and a fractional-order controller is created to obtain the sufficient conditions for chaotic systems.Research shows that the chaos synchronization is achieved for masterslave systems of fractional-order uncertainty four-wings chaotic systems when proper fractional order sliding mode surface and controllers chosen.In the paper the strict proof and reasoning process are given and a numerical simulation is presented to verifies the efficacy of the scheme presented.

关键词

分数阶系统/四翼混沌系统/滑模/同步/自适应控制

Key words

fractional-order systems/four-wings chaotic systems/sliding mode/synchronization/adaptive control

分类

数理科学

引用本文复制引用

程春蕊,朱军辉,王东晓..分数阶不确定四翼混沌系统的自适应滑模同步[J].华中师范大学学报(自然科学版),2018,52(2):155-159,5.

基金项目

国家自然科学基金项目(NSFC11501525) (NSFC11501525)

河南省科技厅软科学项目(142400411192) (142400411192)

河南省高等学校重点科研项目(16B110014 ()

17A110034). ()

华中师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1000-1190

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