Delay Equivalences in Tuning PID Control for the Double Integrator Plus Dead-Time

The paper investigates and explains a new simple analytical tuning of proportional-integrative-derivative (PID) controllers. In combination with nth order series binomial low-pass filters, they are to be applied the double-integrator-plus-dead-time (DIPDT) plant models. With respect use derivatives, it should understood that design appropriate filters is not only an implementation problem. Rather, also critical for resulting performance, robustness noise attenuation. To simplify controller commissioning, integrated procedures (ITPs) based on three different concepts filter delay equivalences presented. For simultaneous determination + parameters, uses multiple real dominant poles method. excellent control loop performance in noisy environment specific advantages disadvantages discussed. results show none them globally optimal. Each advantageous certain levels desired degree their filtering.