Consider the system shown in Figure P10.43 and let R(s) = 0 and T(i(s) = 0. Design the controller Gc (s) = Ksuch that, in the steady-state, the response of the system y(t) is less than -40 dB when the noise N(s) is a sinusoidal input at a frequency of ≥ 100 rad/s.