带未知扰动的多涡卷混沌系统修正函数时滞投影同步

Modified function projective lag synchronization for multi-scroll chaotic system with unknown disturbances

研究了带有未知外部扰动的不同多涡卷混沌系统修正函数时滞投影同步问题.基于Lyapunov稳定性理论,采用模糊自适应控制的方法设计自适应同步控制器及参数的更新规则.该控制器在实现混沌系统修正函数时滞投影同步的同时对外界扰动的变化能保持较好的稳定性.数值仿真的结果进一步验证了该方法的有效性.

In this paper, we treat the modified function projective lag synchronization between two non-identical multi-scroll chaotic systems with unknown disturbances. By utilizing the lyapunov stability theory, the fuzzy adaptive controller and parameter update law are derived to make the state of chaotic system achieve modified function projective lag synchronization. The controller can keep the systems stable even when the disturbance changes. Finally numerical simulations are performed to show the effectiveness of the proposed method.