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Question: The dynamic responses of the heat transfer process in Figure are considered here. The medium in the coil and jackets is heating the fluid in the tanks. The tanks are well mixed, and all transportation delays are small compared with the time constants.

(a) Describe the dynamic responses of each temperature to a step change in each valve

(b) Discuss the likely control performances for each input-output pair for multiloop control,

(c) Assume that one feedback PI controller, with pairing T₂ → v₂, is in operation and that a step change is made to v. Describe the dynamic response of both temperatures.

(d) Discuss the likely control performance if the other control loop, T₁ → v_i, is closed.

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