Toolkit for PID dominant pole design

This work presents dominant pole design (DPD) methodology, one MATLAB implementation of DPD and its usage. DPD for PI and PID controllers is derived, and on this basis MATLAB toolkit for three-pole method (3PM) has been developed. The least squares procedure for finding functional dependence of PID controller parameters on process parameters is described. This least squares procedure has been applied to the first order process with dead time (FODT) obtained functional dependence, expressed through tuning formulas, is presented. Performance of PID controller tuned with 3PM tuning formulas is compared to the performance of PID controller tuned with integral criteria derived tuning formulas. Observed characteristics of DPD method are given at the end of the paper.