在将超混沌系统的控制、同步及反同步问题统一处理的基础上,给出了一种可实现超混沌系统同步的非线性状态反馈方法。该方法以非线性系统的线性化方法和极点配置理论为基础,把控制律分解为非线性和线性两部分之和,使超混沌系统得以控制、同步和反同步。对超混沌Newton-Leipnik系统的仿真实验表明了控制策略的有效性。
This paper presents a nonlinear state feedback approach to the control and synchronization and anti-synchronization of hyperchaotic systems based on a unified frame for the synchronization.According to equilibrium linearizing and pole assignment theory,a nonlinear controller of the hyperchaotic systems is obtained,which is proved to be feasible.Simulation to the control and synchronization of hyperchaotic Newton-Leipnik system is given to illustrate the effectiveness of the proposed approach.