Now use the below ILE to simulate a linear feedback policy for the Faucet flow. The exact formulation for the policy is:

LaTeX: Faucet flow=(Desired Water-Water In Glass)/Time To Reduce Gap=Gap/Time To Reduce Gap

This equation follows the same logic that you saw in the scatter plot. When the water in the glass reaches the desired water level, the faucet flow will be zero. In other words, the faucet flow becomes zero when the gap is zero.

As can be seen, the aggressiveness of the policy is controlled by the parameter Time to reduce gap. The shorter the time to reduce the gap, the larger the faucet flow will be.

To open in a separate window.