比例微分控制器对Rossler系统的周期调制效应

Periodic modulation effect of proportional and different controller to Rossler reaction systems

研究了Rossler化学反应系统的动力学行为,利用数值结果、分岔图和相图分析了系统的周期振荡态和混沌态运动过程,利用比例微分控制器方法实现了系统的混沌控制。结果表明,系统的状态由单周期振荡态变为周期2、周期4等多周期振荡态以及混沌态,最终系统的混沌行为被有效的调制到稳定的周期振荡态。

The dynamics behaviors of the Rossler reaction systems are studied in the paper.By applying bifurcation diagram and phase diagram are presented to analyze periodic oscillation state and chaos motions. Using proportional and differential controller methods, chaos of the system is controlled. The results show that the single periodic oscillation in the system is evolved to multi-period oscillatory states, such as period two, period four and chaos. We obtain the steady periodic oscillation state of the system under effectively modulating at last.