一类混沌系统的非线性反馈增益控制投影同步

摘要

研究了一类混沌系统间关于常数投影尺度因子的投影同步问题,设计了非线性反馈增益控制器.基于Lyapunov稳定性理论,确定了控制器中的反馈增益矩阵以及其与投影尺度因子的关系,并表明其取值与驱动系统的吸引子尺度和响应系统的系统参数有关.以Chen系统和Lorenz系统为例进行了仿真模拟,验证了方法的有效性.该方法可以推广到异结构混沌系统间的修正投影同步控制中.%This study achieves the projective synchronization in a class chaotic systems for constant scaling factors. A nonlinear feedback gain controller is designed and its feedback gain matrix is obtained by the Lyapunov's direct method, which is related with is the scaling factor, the attractor size of drive system and the parameters of the response system. The results are verified by the numerical simulations on the Lorenz system and Chen system. It can be applied to synchronize the modified projective synchronization between different chaotic systems.