AP2.7 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. For what value of K does the disturbance response first reach at y(t) = 0.5 at t = 0.01?

FIGURE AP2.7 Unity feedback control system with controller G(s) = K. Controller Ta(s) Plant Ea(s) + 1 R(s) K Y(s) s+50 +