The levels h1 and h2 of the two-tank system of Figure P18.1 need to be controlled to set point by manipulating the feed flowrates Fin,1 and Fin,2. Derive the state-space description and the...

The levels h1 and h2 of the two-tank system of Figure P18.1 need to be controlled to set point by manipulating the feed flowrates Fin,1 and Fin,2. Derive the state-space description and the transfer-function description of the closed-loop system formed when decentralized proportional controllers are used for this purpose.