一类混沌系统的非线性反馈控制

基于微分动力学的不稳定流形定理，针对二维离散混沌动力系统，用不稳定流形的了函数逼；近系统。采取微扰控制方式，得出非线性反馈控制规律，稳定双曲平衡点。与ＯＧＹ方法相比，增大了控制收敛区域，减少了迭代次数，并以Ｈｅｎｏｎ映射为例验证了所提出方法的有效性。

Nonlinear Feedback Controlling of the Chaotic System

A method of controlling chaos is presented using ideals of unstable manifold theory, and nonlinear feedback control rules are given analytically. This approach extends the basin of attraction of the target point, and it is capable of stabilizing chaotic systems with weak control actions. The main difference from OGY method is the use of nonlinear approximation for stable manifold of the target point and the chaotic system. An example for the Henon map is given to demonstrate the effectiveness of the method.