基于反馈线性化的永磁同步电机模型预测控制

摘要

A control scheme with feedback linearization and model predictive control (MPC) for permanent magnet synchronous motor (PMSM) is presented. The necessary and sufficient conditions of feedback linearization of the non-linear PMSM model are discussed with differential geometry method and it is transformed into linear one. The principle of MPC and the treatment of system constraints are analyzed. The controllers are respectively designed for linear PMSM model with MPC and the method of state feedback pole assignment. In the case of constraint and unconstraint condition, the control effect of above-mentioned both schemes are compared. The simulation results show that the control method based on feedback linearization and MPC can simplify the design of the controller and reduce the error generated as the model mismatch; it can overcome the effect of constraints condition and ensure the ideal steady state and dynamic performance.%提出一种基于反馈线性化和模型预测控制(MPC)策略的永磁同步电机(PMSM)控制方案.运用微分几何理论讨论了非线性PMSM模型可进行反馈线性化的充分必要条件,并将其转换为新坐标空间中的线性模型;分析了MPC原理和对系统约束条件的处理方法.针对获得的PMSM线性模型,分别采用MPC和状态反馈极点配置方法设计了控制器.在有约束条件和无约束条件的情况下,对上述两种控制方法进行了控制效果比较.仿真实验结果表明,基于反馈线性化和MPC的控制方法可以简化系统的控制器设计,减小因模型失配而产生的误差;可以解决约束条件对系统性能的影响,保证系统具有理想的稳态和动态性能.