New PID tuning rule using ITAE criteria

Abstract

This paper demonstrates an efficient method of tuning the PID controller parameters using the optimization rule for ITAE performance criteria. The method implies an analytical calculating the gain of the controller (Kc), integral time (Ti) and the derivative time (Td) for PID controlled systems whose process is modeled in first order lag plus time delay (FOLPD) form. Firstly A mat lab program with objective function is written to find the optimum value for the PID controller parameters which can achieve most of the systems requirements such as reducing the overshoot, maintaining a high system response, achieving a good load disturbances rejection and maintaining robustness. The objective function is selected so as to minimize the integral of Time Absolute Error (ITAE) performance index. Using crave fitting technique, equations that define the controller parameters is driven. A comparison between the proposed tuning rules and the traditional tuning rules is done through the Matlab software to show the efficiency of the new tuning rule.