PID Controller Design Based on CCSR for Integrating Systems with Time Delay

Abstract

Time-delayed integral processes are frequently encountered and difficult to control, especially in the chemical industry. There are several basic reasons why integral systems are difficult to control. The most critical of these are memory effect, delays and complex tuning requirements. In this study, a PID (Proportional - Integral - Derivative) control design procedure is presented for time-delayed integral processes. The procedure is based on the calculation of the convex stability region center. In the first stage of the proposed PID design procedure, the kd (derivative gain) value that maximizes the area of the stabilizing kp - ki (proportional and integral gains) parameters region without disturbing the convexity with respect to the kp axis is selected. Then, the coordinates of the convex stability region center obtained for this value and the parameters kp and ki are determined. The proposed design procedure is a computational method with graphical evaluation. It does not use any iterative method. Another feature that distinguishes the proposed design procedure from its counterparts is that it does not require any filters, weight functions or extra parameters. In this respect, the procedure does not overshadow the simplicity feature, which is the biggest advantage of PID controllers in practice. Comparative simulation studies show that the PID controller designed with the proposed method have been provided good settling time performance.

Keywords

• Integrating process
• PID control
• Convex staility region

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