Abstract

We propose a control system to regulate a periodic plant subject to significant load disturbances and measurement noise and a highly uncertain plant gain, but with negligible dynamics between control input and output. This is a common control problem in online advertising. The controller is periodic involving a periodic feed-forward adjustment of the reference setpoint and a periodic proportional-integral (PI) feedback controller. We derive the solution of the closed-loop system and prove that it is globally asymptotically stable. The proposed controller is compared with a control system based on the above feed-forward component and a standard linear and timeinvariant PI controller.