Disturbance Rejection Associated with a Highly Oscillating Second-order-like Process; Part I: Feedforward Second-order Compensator

This paper investigates using a feedforward second-order compensator for disturbance rejection associated with a highly oscillating second-order-like process. The compensator is tuned using the MATLAB control and optimization toolboxes and five different error-based objective functions for compensator gain in the range from 5 to 25. The more suitable objective function for disturbance rejection using the second-order compensator used with the highly oscillating second-order-like process is assigned and the effect of the compensator gain on the performance of the control system in the time domain is shown. The unit step disturbance input time response of the control system has a maximum value less than 3.54, minimum value of the time response greater than -3.83 and a steady-state error as low as 0.0055 at a compensator gain of 20.