Artificial Intelligence Algorithm for Optimizing PID Parameters to Control Weakly Damped Systems

The step responses of many systems to be controlled show an overshoot behavior. This is the case, for example, with active vibration damping with spring-mass systems. This document provides PID controller tables for overshooting systems. Such systems can be approximated with second-order systems. The parameters were calculated with the simulation and optimized with a search for the best values according to the minimum ITAE criterion. For this purpose, parameter sets were calculated using hill climbing, an approach from artificial intelligence. It minimizes the criterion in transient response over time. The publication provides tables for systems with different system damping. So that the sets can be used in general, a way of easily identifying such systems is also presented. The controller parameters are then verified using the position control of a weakly damped spring-mass system.