摘要
Duffing混沌和van der Pol混沌为常见的二阶混沌系统,采用Python语言进行建模和仿真,并通过matplotlib库绘制状态变量的二维相图。驱动系统为Duffing混沌系统,响应系统为van der Pol混沌系统,通过驱动系统和响应系统建立比例投影同步误差系统。采用线性滑模面和指数趋近律设计滑模控制器,进行驱动系统和响应系统的比例投影同步控制。仿真结果表明,滑模控制器能够进行二阶混沌的比例投影同步控制,比例投影同步误差渐进收敛到零。
Duffi ng chaos and van der Pol chaos are common secondorder chaotic systems,which are modeled and simulated based on Python,and the two-dimensional phase diagram of state variables is drawn based on matplotlib library.The drive system is Duffi ng chaos and the response system is van der Pol chaos.The proportional projective synchronization error system is established by the drive system and the response system.The sliding mode controller is designed by using linear sliding mode surface and exponential approach law.The proportional projective synchronization control of the drive system and the response system is carried out.The simulation results show that the sliding mode controller can control the second-order chaos in proportional projective synchronization,the proportional projective synchronization error converges to zero gradually.
作者
赵海滨
颜世玉
ZHAO Haibin;YAN Shiyu
出处
《中国教育技术装备》
2020年第10期124-126,131,共4页
China Educational Technology & Equipment
关键词
比例投影同步
混沌系统
仿真实验
PYTHON
proportional projective synchronization
chaotic system
simulation experiment
Python
