磁轴承基于特征模型的全系数自适应控制算法研究

Airflow Impact Control of Magnetic Suspension Centrifugal Compressors During Shutdown

磁悬浮轴承是具有非线性的控制对象,对磁轴承系统进行建模存在参数与动态双重不确定性,使得采用PID控制等依赖于确定性模型的控制方法达不到理想的控制效果。基于特征模型的全系数自适应控制策略对于非线性的被控对象有较好的解决效果,且控制器设计简便,在实际工业应用已有较好的成效。本文进行了单自由度磁轴承模型分析,推导了递归最小二乘法辨识特征模型理论与基于特征模型的全系数自适应控制理论。最后将全系数自适应控制算法应用到磁轴承系统进行仿真和实验验证,结果表明该算法在磁轴承起浮响应与静态悬浮时的有效性和可靠性。

The magnetic suspension bearing is a nonlinear control object,and there are parameters and dynamic uncertainties in the modeling of the magnetic bearing system,which makes the control method relying on the deterministic model,such as PID control,unable to achieve the ideal control effect.The all-coefficient adaptive control method based on the characteristic model has a good solution to the nonlinear controlled object,and the controller design is simple,and it has achieved good results in practical industrial applications.In this paper,the single-degree-of-freedom magnetic bearing model is analyzed,and the recursive least squares method to identify the characteristic model theory and the all-coefficient adaptive control theory based on the characteristic model are derived.Finally,the all-coefficient adaptive control method is applied to the magnetic bearing system for simulation and experimental verification.The results show that the algorithm is effective and reliable in the magnetic bearing levitation response and static suspension.