基于Hankel范数近似的磁悬浮控制系统模型降阶

对于磁悬浮系统而言,忽略轨道的弹性进行控制算法设计,是一种常见的方法。但是,当轨道的刚度较小时,这种方法的控制性能较差。考虑轨道弹性所设计的控制算法,理论上能确保系统的良好性能但是会使得系统复杂度增加。本文采用Hankel范数近似法对基于弹性轨道的模型进行降阶。针对刚性轨道系统模型和降阶模型设计控制算法,利用仿真结果验证降阶模型的可行性。

Model reduction of Maglev control systembased on Hankel norm approximation

For magnetic suspension systems, it is very common to ignore the flexibility of the trajectory in the design of control algorithms. However, when the stiffness of the track is small, the control performance of this method is poor. The design of the control algorithm considering the track elasticity can theoretically ensure the good performance of the system, but it will increase the system complexity. In order to solve the above problems, the Hankel norm approximation method is used to reduce the order of the model based on the elastic track. The control algorithm is designed for rigid rail system model and reduced order model. Simulation results show that the performance of the reduced order model is good and feasible.