摘要
采用动态变量反馈控制方法研究了同步混沌运动。具体针对由 Loranz方程描述的两个混沌运动 ,以一个混沌运动的动态变量作为目标轨迹 ,对另一个混沌运动进行状态反馈控制 ,使后者跟踪前者 。
Synchronization of chaos shows great potential in many engineering applications, such as secure communications. We studied the synchronization of two chaotic motions described by Loranz equation by using variable feedback control (VFC). We first give a definition for the synchronization of chaos as described by eq.(3). Then we take two chaotic motions which are described by the same Loranz equation (eq.8) , but their initial conditions are different. One chaos is used as target trajectory and its state variables are used as state feedback to another chaotic motion. By properly selecting feedback gains, the latter chaotic motion will follow the former one and the two chaotic motions are synchronized completely after a short time. In the appendix, we proved that the error between the two chaotic motions would converge to zero. Simulation results (Figs.1 through 4) show that good synchronization is achieved.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
2000年第2期277-280,共4页
Journal of Northwestern Polytechnical University
关键词
同步混沌
动态变量
反馈控制
synchronization of chaos, variable feedback control(VFC), chaotic motion
