摘要：本文通过利用Simulink,展示了MATLAB在Lorenz混沌系统研究中的应用。分析Lorenz系统非线性动力学行为的稳定特性，从而提出一个延迟反馈控制器，采用延迟反馈控制的方法对Lorenz系统的混沌行为进行控制，并对该混沌控制过程进行理论分析和数据仿真。通过对控制系统最大Lyapunov指数的计算，可以得知受控的Lyapunov系统将被控制在何种状态。并实现了通过改变延迟时间进行动态控制，从而拓宽了Lyapunov混沌系统的应用方式。
关键词: 混沌系统； Lyapunov指数； 延迟反馈； Matlab； Simulink；
Abstract:In this paper,through the use of Simulink,showing the application of MATLAB in the Lorenz chaotic system.Analyze the stability characteristics of nonlinear dynamical behavior of Lorenz system,to propose a delayed feedback controller,use the delayed feedback control method to control the chaotic behavior of the lorenz system,and to do the theoretical analysis and data simulation for the process of chaotic control.By calculating the maximum Lyapunov exponent of the control system,be able to predict the controlled Lorenz chaotic system be controlled to what state.And achieved to dynamic control by changing the delay time,to increase the application of the Lorenz chaotic system.
Key words: Chaotic System; Lyapunov Exponent; Delayed Feedback; Matlab; Simulink
