Tuning rules of filtered PID/PIDD2 controller for integrating processes with measurement noise

PID controllers are widely used in industrial processes. However, it is well-known that the derivative action is susceptible to measurement noise, so most of the practical PID controllers are of PI-type. To improve the control performance and lessen the impact of measurement noise on actuators, tuning formulas under arbitrary comprehensive robustness measures are proposed to meet more control needs, the filtered PID/PIDD2 (PID plus second derivative) is used under the promise of acceptable performance of robustness and disturbance rejection. Many chemical production processes can be approximated to the common model with integrators, to improve the chemical production process efficiency, tuning rules of filtered PID/PIDD2 controllers are proposed for different integrating processes in terms of relative order to make better trade-offs. Simulation results show that the proposed tuning formula can reduce the impact of noise and achieve proper compromising among robustness, disturbance rejection and measurement noise.