Chen系统的非共振参数控制  

Nonresonant parametric control of Chen's system

作　　者：王梦蛟[1,2] 曾以成[1] 陈光辉[1] 贺娟[2] 

机构地区：[1]湘潭大学材料与光电物理学院,湘潭411105 [2]湖南人文科技学院物理与信息工程系,娄底417000

出　　处：《物理学报》2011年第1期99-103,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:60772015;60972147;10947101);湖南省自然科学基金(批准号:08JJ5031;10JJ4001)资助的课题~~

摘　　要：本文利用非共振参数策动实现对Chen系统的非反馈方式混沌控制.使用远大于系统平均频率的周期信号作为控制输入,将控制系统中的系统变量分解为按系统平均频率变化的慢变量和按外加控制信号频率变化的快变量,然后利用平均法对控制系统进行处理得到慢变系统;根据慢变系统的动力学性质,得出所用控制参数应满足的条件.数值仿真结果表明此方法可以使控制系统迅速达到目标状态,并且在控制信号受到噪声干扰时,在一定信噪比范围内仍能对系统进行有效的控制,证明了该方法的可行性.In this paper,nonfeedback chaos control of Chen＇s system is realized with nonresonant parametric drive. A periodic signal whose frequency is far higher than the system＇s mean frequency is used as the input. And the system variables of the controlled system are decomposed into slowly varying variables which change according to the system＇s mean frequency and fast varying variables which change according to the frequency of periodic signal. Then,by averaging method,a slowly varying dynamics is obtained. According to the dynamical characteristics of the slowly varying dynamics,the available control parameter range is obtained. Numerical simulation results show that this method can lead the controlled system to the target state rapidly,even when the control signal is disturbed by noise in certain SNR ranges,so the proposed method is feasible.

关 键 词：平均法 CHEN系统 混沌控制 

分 类 号：O415.5[理学—理论物理]