磁悬浮轴承-转子系统非线性行为的控制

摘要

利用状态反馈法,对磁悬浮轴承-转子系统的振动进行控制.通过理论推导,证明在原点附近,可近似地将受控系统分解为两个渐近稳定的子系统之和.借助数值仿真对转子受控前后的运动响应进行分析,以验证该控制方案的有效性.通过比较发现,提出的状态反馈控制方案不但能控制转子的周期运动,而且对该系统的概周期运动和混沌运动也能进行有效控制.%In this paper, the nonlinear dynamical behaviors of an active magnetic beating-rotor system are investigated.In order to control the vibration of the system, a state feedback method is adopted.It is theoretically proved that the controlled system can be approximately divided into two asymptotically stable subsystems near the origin.Based on this conclusion, kinematic responses to both controlled and uncontrolled systems are analyzed by numerical simulations to verify the validity of the control scheme.Mutual comparison of the results of both systems reveals that the state feedback control scheme presented here can effectively control not only periodic vibrations, but also quasi-periodic and chaotic vibrations.