用闭环反馈周期脉冲抑制分叉和混沌运动

提出一种抑制分叉和混沌的方法.该方法用控制目标与实时检测的系统状态量之间的差值作为控制脉冲信号,用闭环反馈方式作用于受控系统,达到控制分叉或混沌的目的.首先介绍了该方法的基本原理,然后将该方法用于含间隙往复碰撞振动系统的分叉和混沌异常运动的抑制.利用一个二自由度往复碰撞振动模型作为研究对象,用随机数模拟随机扰动,通过数值仿真的方法对该系统在无扰动和有扰动条件下的分叉及其混沌运动进行抑制.结果表明该方法对这类分叉和混沌异常振动有明显的抑制作用.该方法也适用于其他混沌系统.

Feedback-based method using periodic pulse to suppress bifurcations and chaotic motions

A method to suppress bifurcations and chaotic motions is proposed.The bias between the real time state values and target values is considered as the feedback periodic pulse,and is used to control bifurcations and chaotic motions in system.First,the principle of the method is introduced.The method is then applied to a two-degree-of-freedom reciprocating impact vibration system with gap.Using random numbers as disturbances,the bifurcations and chaotic motions of the system under the conditions both with or without disturbances are suppressed by numerical simulation.The result indicates that the method can suppress bifurcations and chaotic vibration in the system effectively.The method can also be applied to other chaotic systems.