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) = 0.1 at t = 0.05?
Figure AP2.7
Unity feedback control system with controller Gc(s) = K.

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