Optimal Analytical PI and PID Tuning Rules for Controlling Stable Processes with Inverse Response

In industrial applications, it is possible to encounter processes that show an initial response in opposite to the final steady-state. Such processes involve difficulties to control them. Hence, researchers have recently started paying great attention to the control of such processes. This paper reports on deriving optimal tuning rules for controlling open loop stable processes with inverse response. Simple and optimal analytical tuning rules for PI and PID controllers have been derived based on integral performance criteria. Simulation examples have been given to show the usefulness of the proposed controller design method.