^{7}The general definition of gain is the ratio of output change over input change (ΔOut
ΔIn ). Here, you may have noticed we
calculate process gain by dividing the process variable change (7.5%) by the controller output change (10%). If this seems
“inverted” to you because we placed the output change value in the denominator of the fraction instead of the numerator,
you need to keep in mind the perspective of our gain measurement. We are not calculating the gain of the
controller, but rather the gain of the process. Since the output of the controller is the “input” to the process, it is
entirely appropriate to refer to the 10% manual step-change as the change of input when calculating process
gain.