Parameter tables for PID controllers for time delayed systems optimized with a learning method

Abstract

This publication provides useful parameter sets in tabu-lar form for PID controllers for various rise and dead times of step responses of asymptotically stable control systems, which minimize the common quality criteria in the time domain, integral of absolute error IAE, integral of time-multiplied absolute value of error ITAE and inte-gral of sqared error ISE. Since the determination of the parameter sets is very computationally intensive, an approach from the field of artificial intelligence was chosen. The application of the parameter sets found is verified with examples. The parameter sets also take into ac-count the controller output limitations that are relevant in practice and can basically be used for all PID control-lers of controlled systems with a time delay.