Consider the closed-loop system in Figure CP4.9, whose transfer function is

(a) Obtain the closed-loop transfer function T(s) = Y(s)/R(s) and the unit step response; that is, let R(s) = l/s and assume that N(s) = 0.
(b) Obtain the disturbance response when
N(s) = 100 / s2 + 100
is a sinusoidal input of frequency ω = 10 rad/s. Assume that R(s) = 0.
(c) In the steady-state, what is the frequency and peak magnitude of the disturbance response from part(b)?

10sand H(s)+ 50 G(s) = s+100 FIGURE CP4.9 Closed-loop system with nonunity feedback and measurement noise.