基于线性反馈滑模法实现分数阶多涡卷混沌系统同步  

Linear feedback sliding mode controller for synchronization of fractional multi-scroll chaotic system

作　　者：祁平[1] 于海东[1] 刘爽[1] 岳丽娟[1] 

机构地区：[1]东北师范大学物理学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2017年第3期83-87,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10847110);吉林省自然科学基金资助项目(201115008)

摘　　要：将整数阶多涡卷混沌系统推广到分数阶多涡卷混沌系统.利用线性反馈控制理论和滑模控制理论,设计了线性反馈滑模控制器,在仅加一项控制器的条件下不但使该分数阶多涡卷混沌系统达到了同步且缩短了达到同步的时间.数值仿真结果表明了该方法的有效性.In this paper,the fractional chaotic system is extended from integer order chaotic system.We design a linear feedback sliding mode controller based on the theory of learning feedback control and the theory of sliding mode control.The synchronization of the fractional multi-scroll chaotic systems is achieved.The synchronization time of the fractional multi-scroll chaotic systems is shortened by linear feedback sliding mode control law.The result of numerical simulation shows the effectiveness of the proposed controller law.

关 键 词：分数阶多涡卷混沌系统 线性反馈法 线性反馈滑模法 混沌同步 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]