非线性刚度轴支撑碰摩转子系统的混沌控制

Chaos Control of Rub-Impact Rotor System with Nonlinear Rigidity Axes

采用小参数最优控制,对非线性刚度转子系统碰摩的混沌运动进行控制研究.根据混沌运动的敏感性、共存性及各态历经性,利用混沌吸引子内的观测信息估计不稳周期轨,当混沌轨靠近该轨时,通过小参数干扰反馈最优控制算法对系统进行控制,将混沌轨逐步导向周期轨,并使之稳定下来.通过对外部可调参数u、ξ同时进行小的干扰反馈序列控制和分别对u和ξ进行小的干扰反馈序列控制,都能有效地控制混沌运动.并对他们的控制效果进行比较,说明控制的有效性.

The control of chaos in the rub-impact rotor system with nonlinear rigidity axes is studied by adopting little parameter optimization controlling method.Based on the sensitivity,co-existence and ergodicity of chaos system and using the related information from observations of the trajectory in the chaotic attractor,an unstable periodic orbit can be estimated.When the chaotic orbit is restricted to the approximate periodic orbit,chaotic system is controlled through a parameter perturbations feedback sequence formula,which directs the chaotic orbit onto periodic orbit,hen determines periodic orbit step by step and finally makes it stable.Through giving perturbations feedback list of parameter u and parameter ξ at the same time,and giving perturbations feedback list of parameter u and parameter ξ separately,the chaotic behaviour can be controlled.The result shows that the chaos in the system is controlled efficiently.