一种控制混沌吸引子不稳定周期轨道的新方法

A New Method for Controlling Over Unstable Periodic Orbits Embedded in Chaotic Attractor

提出一种控制混沌吸引子不稳定周期轨道的新方法。该方法先从系统映射图中找出混沌吸引子不稳定不动点的近似值 ,然后利用非线性反馈达到控制混沌的目的。这种方法的主要特点是不需要知道混沌系统的具体模型 ,且可以在混沌态的任意时刻施加控制作用。另外 ,该方法还具有很强的抗干扰能力和非常快的收敛速度 ,控制结构简单 ,易于实现。

In this paper a new method for controlling over unstable periodic orbits embedded in chaotic attractor is presented. This method first finds out the approximation of unstable equibrium points in chaotic attractor from the system map graph; and then, the nonlinear feedback control is used to achieve the purpose of controlling over chaos. The main characteristic of this method is to exert control actions at any time in the chaotic state without knowing any concrete modes in the chaotic system. In addition, this method is characterized by the very strong ability to resist interference, very fast convergence speed, simple controlling structure, being easy to achieve its structure, so that the simulation results indicate the effectiveness of this method.