Question: For the flow-pressure process shown in Fig. E, it is desired to control both pressure P 1 and flow rate F. The manipulated variables are

For the flow-pressure process shown in Fig. E, it is desired to control both pressure P₁ and flow rate F. The manipulated variables are the stern positions of the control valves, M₁ and M₂. For simplicity assume that the flow-head relations for the two valves are given by

F = 20M₁(P₀ ? P₁)

F = 30M₂(P₁ ? P₂)

The nominal steady-stale conditions are F = 100 gal/min, P₀ 20 psi, P₁, = 10 psi and P₂ = 5 psi. Use the RGA approach to determine the best controller pairing.

FC PC PT FT P1 Po

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