Consider the unity feedback system described in the block diagram in Figure AP2.7. Compute analytically the response of the system to an impulse disturbance.
Determine a relationship between the gain K and the minimum time it takes the impulse disturbance response of the system to reach y(t) < 0.1. Assume that K>0. For what value of K does the disturbance response first reach at y(t) = 0.1 at t = 0.05?