【摘要】 对非线性控制混沌同步的理论方法做系统的描述。基于修改的Lyapunov稳定性理论,提出设计一个控制器就可以实现两个系统的同步的方法,它的优点是不需要计算系统的条件Lyapunov指数。基于Lyapunov稳定性理论和非线性控制方法,在初值不同的情况下,选取合适的控制器,使得两个相同的混沌系统以及Chen混沌系统和新的混沌系统实现全局渐进同步。运用Matlab仿真做出两个混沌系统的同步动态误差图,验证了本方法的有效性。更多还原

【Abstract】 The detailed description of the chaotic synchronization method in nonlinear control theory is introduced. Based on the modified Lyapunov stability theory,a method is presented to design a controller which can realize the synchronization of two systems. The advantage of this method is not need to compute the condition Lyapunov exponent of the system. According to Lyapunov stability theory and the method of nonlinear control,in the case of different initial conditions,the appropriate controller is designed to make the two same Chen chaotic system,Chen chaotic system and a new chaotic system to realize global asymptotic synchronization. In addition,the MATLAB simulation method is used to plot the figure of synchronization dynamic error of the two chaotic systems,which can further verify the effectiveness of the proposed method.更多还原