Problem Statement:
1. Derive the closed-loop transfer function for 3 identical gravity drained tanks in series with a proportional-only controller manipulating the flow into the first tank to control the liquid level of the 3rd tank.
2. Using the Final Value Theorem (FVT), show that with proportional-control, the height of the 3rd tank will always exhibit an offset relative to the setpoint that reduces with increasing controlling gain (Kc)