延迟微分反馈法控制混沌  

Chaos control using delayed differential feedback

作　　者：黄报星[1] 

机构地区：[1]江汉大学物理与信息工程学院,湖北武汉430056

出　　处：《吉林大学学报（信息科学版）》2003年第4期362-365,共4页Journal of Jilin University（Information Science Edition）

基　　金：武汉市科技计划资助项目(20015007090-11)

摘　　要：利用可测变量的微商进行反馈,提出了用延迟微分反馈控制(DDFC:DelayedDifferentialFeedbackControl)实现混沌控制的方法。理论证明了微分反馈控制和DDFC控制Lü系统3个平衡点的稳定可控性。在Matlab进行了数值仿真,结果表明,通过调节延迟时间τ和控制增益k,DDFC系统能自动寻找和稳定不同的不稳定周期轨道(UPO:UnstablePeriodicOrbit),实现混沌控制。The controllability of the equilibriums of the controlled system with the differential feedback control is proved theoretically.DDFC(Delayed Differential Feedback Control) is presented.It takes the measurable differential variate as the feedback. The controllability of the equilibriums of the controlled system with the differential feedback and DDFC control is proved theoretically. The UPOs(Unstable Periodic Orbits) are found and stabilized by adjusting the gain k and delayed time τ in numerical simulations in Matlab.The control of chaos is realized.

关 键 词：混沌系统 微分反馈 延迟 平衡点 

分 类 号：TN918[电子电信—通信与信息系统] O415[电子电信—信息与通信工程]