A feedback control system with sensor noise and a disturbance input is shown in Figure AP4.7.The goal is to reduce the effects of the noise and the disturbance. Let R(s) = 0.
(a) Determine the effect of the disturbance on Y(s).
(b) Determine the effect of the noise on Y(s).
(c) Select the best value for K when 1 ‰¤ K ‰¤ 100 so that the effect of steady-state error due to the disturbance and the noise is minimized. Assume Td(s) = A/s, and N(s) = B/s.
Figure AP4.7
Feedback system with noise.

Disturbance As) Controller Dynamics R(s) Y(s) Sensor N(s) SensiM, noise