基于状态反馈与微分几何的PMSM控制

PMSM control based on state variable feedback and differential geometry theory

研究了利用微分几何方法和状态反馈方法设计永磁同步电机转速控制器的可行性.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,并研究了这种控制器的动态响应特性和抗干扰能力,同时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.仿真结果说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,结果是满足要求的.

The feasibility of design for speed controller of permanent magnet synchronous motor （PMSM） was researched by differential geometry theory. The rationale of speed control of PMSM was introduced based on its mathematic model with differential geometry method. The conditions of taking speed as output function and exactly linearizing PMSM model were deduced. Based on the analysis results, the state feedback controller was designed. The nature of dynamic response and the anti-disturbance ability of cotroller were researched by simulation. The control results of PI controller and nonlinear controller in same model were compared. Simulation results show that the nonlinear control method using differential geometry theory is feasible and control effects are satisfied.