The Design of a Reference Model-Based Proportional-Integral-Derivative Controller with the Generalized Derivative

The proportional-integral (PI) or PI-derivative (PID) controller is still considered as the first choice for the industrial control engineers since it has the simple structure and the reliable control performance. However, the PID controllers are rarely applied to the control system of large-scale industrial processes because the ideal derivative is difficult to implement on the industrial control systems and the derivative may amplify the influence of the measurement noise to the control signal. To solve the aforementioned problem, this paper proposes a generalized derivative for possible field application of the PID controller to industrial processes, especially for a viable alternative for the existing PID controllers-desired dynamic equational (DDE)-PID controller, which is known as a reference model (RM)-based PID controller. Simulation results illustrate that the DDE-PID designed based on the GD can not only obtain good dynamic performance but also has small variation of the control signal, which shows its superiorities in both reference tracking and disturbance rejection. Moreover, the GD brings promising prospect to the wide applications of the PID controller in future industrial process control.