OGY法实现混沌控制的参数辩识研究

给出了在系统方程未知情况下，采用OGY控制策略，通过混沌的部分测试信息辩识控制参数的方法，并对Duffing方程及强迫Brusselator振子方程的参数辩识及混沌控制进行了数值计算；讨论了使用这一方法实现控制时的一些关键问题，给出了实现控制的一些重要参数；发现了对Duffing方程使用同一参数辩识值，可将混沌控制到不同的一倍周期轨道及高倍周期轨道上的新现象。

The Study of the Parametric Identification for Controlling Chaos with the OGY Controlling Law

The parametric identification for controlling chaos, to our best knowledge, is a very important and rather complex problem, as the dynamic equations of chaotic system are unknown. In this paper a parametric identification method based on the partial measured information of chaotic system is presented, and the OGY controlling law is employed. Then, the processes of parametric identification and the processes of controlling chaos for Duffing system and forced Brusselator system are studied in Figs 1 through 2. The main problems of parametric identification and the influencing factors on controlling chaos are discussed. The key parameters for achieving controlling are obtained. Finally, a new phenomenon is found for Duffing system, that is, with the same identified parameters the different 1T and high T periodic motions can be achieved, shown in Figs 3 though 7.