交流主动磁轴承电主轴线性二次型最优控制

Linear quadratic optimal control of electric spindle supported by AC active magnetic bearings

针对交流主动磁轴承电主轴,提出采用线性二次型最优控制理论设计磁轴承控制器。阐述了一种交流主动磁轴承支承的电主轴结构和工作原理,建立了电主轴系统的状态方程。在介绍线性二次型最优控制理论的基础上,采用线性二次型最优控制理论设计了5自由度交流磁轴承电主轴分散和集中参数控制器,并用Matlab软件对集中和分散控制器进行仿真和性能比较。仿真实验结果表明,交流主动磁轴承电主轴转子在20 000 r/min以下运行,采用线性二次型最优控制理论设计的分散控制器,能够实现转子稳定悬浮,交流主动磁轴承电主轴能够按理想的指标运行,并且具有良好的动、静态性能。

Aiming at an electric spindle supported by AC active magnetic bearings （AMBs）, designing controllers of the AMBs using the linear quadratic optimal control theory is proposed. The basic structure and operation principle of an electric spindle supported by AMBs were expounded, and a state equation of the electric spindle supported by the AMBs was set up. Based on introduction of the linear quadratic opti mal control theory, centralized and decentralized parameter controllers of the electric spindle supported by the AMBs were designed. The simulation analysis and comparison between the centralized and decentral ized parameter controllers was completed by Matlab software. The simulation test results show that the de centralized controllers designed by linear quadratic optimal control theory operate well under the rotor speed of 20 000 r/rain of the electric spindle supported by AMBs, and the rotor is suspended steadily. The electric spindle supported by AMBs operates according to the perfect performance indicator, and the control system of the AMBs has good dynamic and static operation performance.