考虑输入饱和的永磁同步电机随机命令滤波控制

Stochastic Nonlinear Control for PMSM with Input Saturation Based on Command Filtering

针对永磁同步电机驱动系统中存在的随机扰动问题,本文在自适应反步法基础上,利用模糊逼近原理逼近系统中未知的非线性函数,并运用命令滤波技术,解决了传统反步法中因对虚拟控制函数连续求导而产生的计算爆炸问题,实现对考虑输入饱和的永磁同步电机随机非线性系统的位置跟踪控制,为验证本方法的有效性,采用Matlab进行仿真实验。仿真结果表明,本文设计的控制器能克服输入饱和的影响,很好的跟踪设定的期望信号,并且保证跟踪误差收敛在原点很小的邻域内,实现了对永磁同步电机快速有效的控制。该研究对实际系统具有一定的应用价值。

For solving the problem of stochastic disturbance existing in permanent magnet synchronousmotor （PMSM） drive systems, fuzzy approximation is used to approximate unknown nonlinear functions and the a-daptive command filtered backstepping is employed to construct controllers. The proposed control method can overcome the problems of “stochastic nonlinear systems with parameter uncertainties” and “explosion of com-plexity” inherent in the traditional backstepping design. In order to verify the effectiveness of the proposed ap-proach, we use the Matlab for simulation. The simulation results show that the controllers can overcome the influence of input saturation and make sure that the proposed approach tracks the given tracking signal well, and the tracking error converges to an arbitrarily small neighborhood around the origin. The present method has significant application value in actual system.