A method to determine the critical parameter tolerances for a proportional-integral-derivative (PID) controller

Abstract

The PID controllers are one of the most important control elements used in process control industry. In this study, a general method is proposed to determine the critical parameter tolerances by the use of the sensitivities of a PID controller's transfer function. These tolerances keep the relative error at the output of the PID controller due to parameter variations in a predefined tolerance region.