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Consider the system shown in Figure 1. We would like to control T2 by manipulating the steam flow rate

Q1. The inlet flow rate F1 remains constant, while the inlet temperature T1 changes, which is why control is necessary Assume that we use a proportional controller and that the transfer functions for the measuring sensor and control valve are equal to unity. The transfer functions for the process and the disturbances are as follows: 1.1. Draw the corresponding feedback closed-loop diagram. (6) 1.2. Derive the closed-loop response and identify the closed-loop transfer function for a servo problem. (13) 1.3. What is the general expression for the corresponding closed-loop static gain for the servo problem?

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