状态反馈精确线性化永磁同步电动机转速控制

对采用微分几何方法设计永磁同步电机转速控制器的可行性进行了研究.从永磁同步电机的数学模型出发,运用微分几何理论,讨论了控制永磁同步电机转速的理论基础,给出了永磁同步电机可以进行精确线性化和输出函数可以取电机转速的条件;在此基础上设计了状态反馈控制器,研究了这种控制器的动态响应特性和抗干扰能力.将这种控制器与同一数学模型下PI控制器进行了控制结果的仿真对比,结果表明,利用微分几何理论设计控制器对永磁同步电机模型进行控制是完全可行的,且有更高的控制精确度和稳态特性,动态性能得到明显改善.

Speed control of permanent magnet synchronous motor based on exact linearization via state variable feedback

The feasibility of designing controller for control permanent-magnet synchronous motor speed is proposed by using differential geometry theory. The rationale of controlling permanent-magnet synchronous motor speed is introduced with differential geometry method based on mathematic model. The condition of output function chosen as speed is deduced and the exact linearization of permanent-magnet synchronous motor model had been completed. Applying the analysis results, the state feedback controller is designed. The nature of dynamic response and the anti-jamming ability of cotroller are researched by simulation method. The control result of PI controller and nonlinear controller is contrasted under the same model and conditions. The simulation results show that the nonlinear control method which using differential geometry theory design controller to control permanent-magnet synchronous motor model is feasible and the control result is satisfied. The controller has better controlling accuracy and stastic charactor with is improved obviously.