电子学报 ›› 2016, Vol. 44 ›› Issue (3): 607-612.DOI: 10.3969/j.issn.0372-2112.2016.03.017

• 学术论文 • 上一篇    下一篇

不确定分数阶多驱动一响应混沌系统同步

张友安, 余名哲, 吴华丽   

  1. 海军航空工程学院控制工程系, 山东烟台 264001
  • 收稿日期:2014-06-26 修回日期:2014-09-19 出版日期:2016-03-25 发布日期:2016-03-25
  • 作者简介:张友安 男,1963年5月出生,湖北天门人,教授,海军航空工程学院控制工程系教授.研究方向为非线性理论,导航、制导与智能控制等. E-mail:zhangya63@sina.com;余名哲 男,1982年3月出生,湖北荆州人,海军航空工程学院控制工程系博士研究生.研究方向为非线性控制与混沌同步. E-mail:18953589889@189.cn

Multi-Drive-One Response Synchronization of Fractional-Order Chaotic Systems with Uncertainties

ZHANG You-an, YU Ming-zhe, WU Hua-li   

  1. Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, China
  • Received:2014-06-26 Revised:2014-09-19 Online:2016-03-25 Published:2016-03-25

摘要:

针对一类新的多驱动一响应混沌系统同步方式,基于分数阶系统稳定性理论和Lyapunov稳定性理论,运用追踪控制和滑模自适应控制方法设计了同步控制律和参数自适应律.对象模型考虑了不确定因素的影响,首先选取一类稳定的分数阶滑模曲面,然后提出了一种鲁棒同步方案.最后数值仿真验证了方案的正确性和有效性.

关键词: 分数阶混沌系统, 多驱动一响应同步, 跟踪控制, 滑模自适应控制

Abstract:

Based on fractional-order system stability theory and Lyapunov stability theory,a new synchronization type named multi-drive-one response synchronization (MDORS) of fractional-order chaotic systems is studied.Synchronization control laws and parameter adaptive laws are designed by using tracking control method and sliding mode adaptive control method.The uncertain factors are considered in object model.Firstly,a stable fractional-order sliding mode is selected,and then a robust synchronization scheme is proposed.At last,simulations are given to verify the correctness and effectiveness of the scheme.

Key words: fractional-order chaotic system, multi drive-one response synchronization, tracking control, sliding mode adaptive control

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