Consider a unity-gain negative feedback system consisting of the plant \(G(s)\) and a proportional-integral (PI) controller.
\[
G(s) = \frac{1}{s-1}
\]
PI controller: \(C(s) = K_p + \frac{K_i}{s} = \frac{K_p s + K_i}{s}\).
Given \(K_p = 3, K_i = 1\).
For a unit step reference input, the final values of the controller output and the plant output are asked.