Chen氏混沌系统的周期扰动控制

The Periodic Perturbation Control of Chen's Chaotic System

设计出反馈控制器和自适应控制器对Chen氏系统进行了有效控制;在反馈控制中,从理论上严格推导出将系统分别控制到零点和非零平衡点的控制参数k的范围;在此参数范围内,设计出周期扰动反馈控制器,可以将系统从不动点控制到周期轨道上.在自适应控制中,设计出自适应周期扰动控制器,也可以实现此目标;最后,研究了周期扰动函数对最后稳定周期轨道的影响.数值实验证明这种方法是切实有效的,也证明了周期扰动函数对最终周期轨道的影响.

In this work, feedback controller and adaptive controller have been designed to control Chen＇s chaotic system to stability points efficiently. In feedback control, the scope of control parameter k is exactly deduced in theory, which controls the system to stability points. In the scope, a periodic perturbation controller has been designed, which can control the system to a periodic orbit from the stability point. An adaptive periodic controller has been also designed to control the system from the stability point to a periodic orbit.