弹性轨道磁悬浮控制系统模型降阶研究

在磁悬浮控制系统中,常常忽略轨道的弹性来设计控制算法。在这种控制算法作用下,当轨道刚度较小时,系统容易产生振动。为解决该问题,可以将轨道弹性加入悬浮模型,然后设计控制算法。考虑轨道弹性之后,悬浮系统的模型会比较复杂,控制算法难以在工程实现。为此,采用Hankel范数近似法对考虑轨道弹性后的模型进行降阶,并且在降阶模型的基础上设计控制算法,解决了轨道弹性引发的系统振动问题。并且,这种方法容易在工程中实现。文章最后利用仿真结果验证了降阶方法的可行性。

Research on model reduction of maglev control system under elastic track

In magnetic levitation control system, the elasticity of orbit is often neglected to design control algorithm. Under this control algorithm, when the track stiffness is small, the system is prone to vibration. To solve this problem, the track elasticity can be added to the suspension model, and then the control algorithm is designed. Considering the track elasticity, the model of the suspension system will be more complex, and the control algorithm is difficult to realize in engineering. Therefore, the Hankel norm approximation method is used to reduce the order of the model considering the track elasticity, and the control algorithm is designed on the basis of the reduced order model to solve the system vibration problem caused by the track elasticity. Moreover, this method has the advantage of easily being implemented in engineering. Finally, the feasibility of the reduced order method is verified by the simulation results.