基于变结构思想的OGY同步控制器

Ott-Grebogi-Yorke synchronization controller based on variable structure spirit

为扩展混沌控制方法在混沌同步中的应用,设计了一种基于变结构思想的Ott-Grebogi-Yorke(OGY)同步控制器.基于变结构控制的思想,将OGY混沌控制方法进行了扩展,通过误差系统近似的线性模型寻找合适的稳定流形,进而通过变结构控制器将误差系统的轨迹控制到稳定流形上面,实现混沌系统的同步.这种变结构控制策略使得OGY方法可以应用到混沌同步当中.Hénon映射的仿真结果验证了该控制策略的有效性。

To generalize the chaos control scheme to chaos synchronization, an Ott-Grebogl-Yorke（OGY） chaos synchronization controller based on variable structure spirit is designed. The OGY chaos control method is generalized to chaos synchronization by the variable structure control scheme. A linearization of the error system between the two chaotic systems is then made. The stable manifold can also be found. By pushing the trajectory of the error system onto the stable manifold, the two chaotic systems are thus synchronized. The OGY method can be applied to chaos synchronization by this variable structure scheme. Finally, the simulation results of Henon map verify the effectiveness of the proposed method.