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[EEE8007] c) Consider the continuous control system shown in Figure 7. Here plant, G(s), is controlled by a proportional controller, C(s). Initially C(s) = 1. Determine the sensitivity of the closed loop system to parameter b. R U C(K) G(s) C(s)-1 G(s) (x+b+cd) Figure 7 [8 Marks] d) Consider the continuous control system shown in Figure 8. In this system, the control signal that is applied to the plant is subject to an unwanted disturbance, D(s). D(s) Rix) Y(s) Gis) 10-0 G(s) = C(s)=2 Figure 8 As a result, the output response of the system is given by: Y,(s) = 1+ C(s)G(S) C(s)G(s) G(s) -R(s)+ 1+C(s)G(s) -D(s) [Tum over Page 7 of 11 [EEE8007] Given D = 0.2 (a DC offset) determine the output, Y, due to this disturbance only (assume R(s) = 0). [4 Marks] e) Explain how output measurement noise affects the sensitivity of closed loop control systems? What impact does this have on setting the controller gain? [4 Marks]