基于Backstepping方法对超混沌Rossler系统的控制与同步研究

Controlling and synchronizing hyperchaotic Rossler system using Backstepping design

对超混沌Rossler系统提出了基于Backstepping的超混沌控制与同步方法,在反向递推每一步设计算法中构造虚拟控制器,使得构造的Lyapunov函数导数负定,逐步修正算法使误差系统在Lyapunov意义下渐近稳定,实现控制器的设计.只使用一个控制器实现了对超混沌Rossler系统控制与同步,数值实验结果证实了所设计控制器的有效性.

This paper presents a Backstepping design method for controlling and synchronizing hyperchaotic Rossler system. In each recursive procedure, the virtual controller is designed for the differential of Lyapunov function negative definite. The controller is designed when the error system is stabilize by the stability theory of Lyapunov. The only one controller is needed for controlling and synchronizing hyperchaotic Rossler system using Backstepping design. The simulation results verifythe effectiveness of involved controllers.