Question about progressive selector

I am not familar with the progressive selector.
Why are there two outputs?
y=u1gain+u2(1-gain)
Based on the above equation, how can I determine the gain? (“gain” is the output)
Thank you

Hi Vincent_Jiang,

This component gives the user the option for a smooth transition from one level to another, this way the user can avoid a large step shock that can potentially destabilize the control system.
One use case of this component is setting the reference level for control units (e.g. in governors to replicate the mechanical delay)
The “gain” output can be interpreted as how close the y output is to u1 input, the higher the gain the closer y is to u1, if gain=0 then y=u2, gain=1 then y=u1.

This can be explained better with an example:
Imagine u1 and u2 are both constants signals u1=0 and u2=10, the selector=0 and delay is set to 2s. The system is currently in steady state which means the output y=10 and gain=0.
At t=0 the selector flips to 0. Now y has 2s to reach u1, so the gain starts increasing gradually and pushes y closer and closer to u1. In this scenario, gain can be seen as the percentage of transition, meaning if the gain is 0.2 it means y is 20 of the way to getting to u1 (y=8).

@amir-at-opal Thank you for your help.