4. (3 points) In a flow control system, such as the one shown below, a single transfer function relates the output controller signal to the control variable (flowrate). Flowrate is the controlled variable but it is manipulated directly. fset(t) fm(t) FC FT p(t) f(t) Ysp(s) Km E(s) P(s) Y(S) GC Gv Ym(s) GM h h Consider the flow control loop shown below. The flowrate, f(t) is controlled using a valve, where f= = 150. A linear valve with qmax= 400 and a time constant of 0.1 min was designed for this process. The transmitter spans 0 to 400 - and has a negligible time constant. The controller is proportional (Kc = 2 %C0/%TO) h a. Write the closed loop response for this system to a change in set point. b. The setpoint changes to 175 L/h. What is the offset of this system? What are the values of E(s), P(s), Ym(s) and Y(s) after the setpoint change (with units)? c. 4. (3 points) In a flow control system, such as the one shown below, a single transfer function relates the output controller signal to the control variable (flowrate). Flowrate is the controlled variable but it is manipulated directly. fset(t) fm(t) FC FT p(t) f(t) Ysp(s) Km E(s) P(s) Y(S) GC Gv Ym(s) GM h h Consider the flow control loop shown below. The flowrate, f(t) is controlled using a valve, where f= = 150. A linear valve with qmax= 400 and a time constant of 0.1 min was designed for this process. The transmitter spans 0 to 400 - and has a negligible time constant. The controller is proportional (Kc = 2 %C0/%TO) h a. Write the closed loop response for this system to a change in set point. b. The setpoint changes to 175 L/h. What is the offset of this system? What are the values of E(s), P(s), Ym(s) and Y(s) after the setpoint change (with units)? c