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 RouthHurwitz theorem. The focuses S+,S- are stabile and controllabe in the conditon of that kτ is over the valve and the sadde S0 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.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
北大核心
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).
