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3. The following plot shows two possible ways to design a feedback control loop to obtain a desired rate of liquid flow. Assume that in both Systems I and II, the flow transmitter is direct-acting (i.e., the output increases as the actual flow rate increases) However, the control valve in System I is air-to- open, meaning that an increasing pressure signal from the controller will open the valve more, thus increasing the flow rate. On the other hand, the control valve in SystemII is air-to-close. The dynamics for both of the valves are negligible. (a) For each of these valves, what is the sign of its gain, Kv? (b) Which controller must be direct-acting? reverse-acting? (c) What sign should the controller gain have for each case? FC FT Liquid System FC FT Liquid System II
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