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Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s)...

Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s) is the setpoint temperature, Tw is the

Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s) is the setpoint temperature, Tw is the measured water temperature, Ta is the ambient temperature and u(t) is the rate of heat supplied to the heater. The mathematical model of a simple thermal system consisting of an insulated tank of water is given by: dTW = c(1, - Iw) +u dt where c is the heat insulation coefficient. Heater Water R(s) Ta Gc/s) u(1) TW Insulation Figure 3 (a) State if this is an open loop or closed loop system. Justify your answer. (4 marks) (2 marks) (b) Is there any disturbances in the system? State the disturbances that you could find in this system (8 marks) (c) Draw a closed-loop functional block diagram for the thermal system above. Label your diagram correctly. (6 marks) (d) By setting y(t)=Tw(t)-Ta and assuming c = 0.55-1, calculate the transfer function G(s)=Y(s)/U(s) where y(s) and U(s) are the Laplace transforms of y(t) and u(t) respectively.
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(a) a Sencor il 10 Gogh feed back element This is a clared loop System because Used to Serpe temperature so sensor is the feeten!! (d) y tl = TW(t) - Ta dy diw dt (Assuming Cambient temperter is constant ) NOW Oce dow de dt dy dt c (Tar Tw) & u dy =

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