高维混沌系统的混合控制方法

Hybrid Approach to the Control of Chaos in High Dimensional Systems

将最短时间最优控制思想用于混沌轨道引导 ,通过可控域把混沌轨道引导和不稳定周期轨道的稳定化方法有机地结合起来 ,提出一种高维混沌系统的混合控制方法。利用该方法可实现高维混沌系统不稳定周期轨道之间的快速、有效切换。以双转子系统为例进行数字仿真 ,仿真结果表明了该算法的有效性。

The idea of minimum time optimal control is applied to chaotic orbit targeting. Based on a combination of chaotic orbit targeting with a stabilization method for unstable periodic orbit via controllable target, a hybrid approach to the control of chaos in high dimensional systems is proposed. This method provids fast and efficient switching among unstable periodic orbits in a high dimensional chaotic system. A numerical example of the double rotor map demonstrates the effectiveness of the approach.