混沌Chen系统的延迟反馈控制  

Control of chaotic Chen system by delayed 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,武汉430056

出　　处：《华中师范大学学报（自然科学版）》2003年第2期175-178,共4页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金资助项目(50209012).

摘　　要：应用延迟反馈控制DFC(delayedfeedbackcontrol)方法对混沌Chen系统进行控制,用Floquet理论和Routh-Hurwitz定理证明Chen系统平衡点的稳定性和可控性:在kτ大于某一阀值时,系统可稳定控制到二个焦点S+,S-,但不能稳定控制到鞍点S0.在数值仿真中,调节增益k和延迟τ,DFC可自动寻找到不同的不稳定周期轨道UPO(unstableperiodicorbit).数值仿真结果获得了多个周期轨道的稳定控制,说明DFC方法对Chen系统控制的有效性.The control of chaotic Chen system is investigated by DFC method.The controllability and the stabilty of the equilibriums of the system is verified by Floquet theorey and RouthHurwitz theorem. The focuses S+,S- are stabile and controllabe in the conditon of that kτ is over the valve and the sadde S0 is not.The numerical simulation in Matlab shows DFC can find the defferent UPOs automatically.The several stabile perodic orbits is got in the numerical simulations.It shows the effectivity of DFC method.

关 键 词：混沌Chen系统 延迟反馈控制 混沌控制 FLOQUET理论 Routh-Hurwitz定理 平衡点 稳定性 可控性 

分 类 号：O415.5[理学—理论物理]