永磁直线同步电机弦截法内模控制系统

提出了一种基于弦截法的内模控制（secant method—basedinternal modelcontrol，SIMC）策略实现对永磁直线同步电机（permanent magnet linear synchronousmotor，PMLSM）的高精度位置控制。以核岭回归方法建立被控对象模型作为内模，进而以弦截法求解内模的根作为逆模，构成SIMC系统。实验仿真结果表明：与传统的内模控制（internalmodelcontrol，IMC）系统相比较，由于弦截法求解内模的根作为逆模可实现逆模与内模的完全匹配，使SIMC系统对内模控制PMLSM控制具有更高的正弦信号跟踪精度，更好的鲁棒性与抗干扰性；对于阶跃输入信号，SIMC系统没有稳态误差。SIMC系统一般只要1～2次迭代就能获得稳定的控制量，可满足控制系统快速性要求。

Secant method-based internal model control system for permanent magnet linear synchronous motor

An internal model control system based on secant method （SIMC） is proposed to control the position for permanent magnet linear synchronous motor （PMLSM）. Specifically, kernel ridge regression is used to set up the model of controlled objector as the internal model. Then, the secant method is used to compute the root of the internal model, as the inverse model for the SIMC system. The simulations show that, compared with the traditional IMC system, since the inverse model obtained by the se- cant method matches the internal model very well, SIMC system can be used to control PMLSM with a higher position tracking accuracy and a stronger robustness and anti-disturbance for the sinusoidal signal input, and without stable error for the step signal input. Moreover, the inverse model can be obtained by the secant method through only one or two iterations, which meets the demand of the high speed of control system.