Anti-windup, bumpless, and conditioned transfer techniques for PID controllers

Abstract
Gives a simple and comprehensive review of anti-windup, bumpless and conditioned transfer techniques in the framework of the PID controller. We show that the most suitable anti-windup strategy for usual applications is the conditioning technique, using the notion of the realizable reference. The exception is the case in which the input limitations are too restrictive. In this case, we propose the anti-windup method with a free parameter tuned to obtain a compromise between the incremental algorithm and the conditioning technique. We also introduce the new notion of conditioned transfer, and we it to be a more suitable solution than bumpless transfer. All the discussions are supported by simulations.