利用单个状态变量控制广义Lorenz混沌系统

Control for Generalized Lorenz Chaotic System Using Single State Variable

根据广义Lorenz混沌系统的具体结构和Lyapunov稳定性理论,分别利用广义Lorenz混沌系统的第一个和第二个状态变量设计了一些简单的不同的线性反馈控制器,实现了广义Lorenz混沌系统全局指数稳定.数值仿真表明了这些控制方法的有效性和可行性.

According to the structure of generalized Lorenz chaotic system and Lyapunov stability theory, some different controllers, which make the generalized Lorenz chaotic system globally exponentially stable, are designed using the first and second state variables of generalized Lorenz chaotic system respectively. Numerical simulations show the effectiveness and feasibility of these control methods.