KRR-based internal model control with secant for linear motor

A new nonlinear internal model control scheme based on secant is proposed to improve the control performance for the Permanent Magnet Linear Synchronous Motor. The internal model is constructed based on kernel ridge regression, then the process of inverse model is transformed to a problem of solving equation by analyzing the characteristics of the internal model. The equation is solved by Secant Method. Simulation result shows that the proposed scheme makes the internal model and the inverse model exact match, and there is no steady-state error in step response, and sinusoidal signal response also has good tracking performance. Moreover, it has a good disturbance rejection ability.