基于反步法的不确定分数阶Shimizu-Morioka混沌系统的自适应无源同步

被引:0
|
作者
赵飞
周卫光
郑永爱
机构
[1] 扬州大学信息工程学院
关键词
分数阶微积分; Shimizu-Morioka混沌系统; 无源控制; 反步控制; 混沌同步;
D O I
10.19411/j.1007-824x.2022.01.009
中图分类号
O415.5 [混沌理论];
学科分类号
摘要
针对具有参数不确定性的两个分数阶Shimizu-Morioka混沌系统,在不同初始条件下,提出一种基于反步控制和无源控制的自适应无源同步控制方法.基于分数阶Lyapunov稳定性理论,利用无源控制的充分条件和反步控制的递推过程,同时在线估计系统的参数;独立设计子系统的能量函数和自适应虚拟控制律,继而设计整个系统的实际自适应控制律,实现对不确定分数阶Shimizu-Morioka混沌系统同步的自适应无源反步控制.数值模拟验证了该方法的有效性.
引用
收藏
页码:43 / 47
页数:5
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