地磁流体混沌系统的线性反馈控制

Linear feedback control in terrestrial magnetic field Rikitake chaotic system

提出一种线性反馈控制方法,对地磁流体Rikitake混沌系统进行反馈控制.介绍了该方法的控制原理,并利用Matlab对控制结果进行仿真模拟.仿真模拟结果表明,通过选取适当的反馈系数λ,地磁流体混沌系统的相图轨迹由混沌吸引子转变为周期数为2n×3mp(n、m为整数)的周期轨道.说明这种线性反馈控制方法是简便有效的.

A linear feedback method is proposed to control terrestrial magnetic field Rikitake chaotic system. Control principle is introduced, and numerical simulation is made using Matlab. Numerical simulation results show that when feedback coefficient ）, is taken properly, the orbits of the system can be changed from chaotic attractor into the periodic orbits in phase, and the numbers of periodic orbits are 2^n×3^mp（n, m are integers）, which shows the method is simple and efficient.