A feedback system with negative unity feedback has a loop transfer function

(a) Determine the closed-loop transfer function T(s) = Y(s)/R(s).
(b) Find the time response, y(t), for a step input r(t) = A for t > 0.
(c) Using Figure 5.13(a), determine the overshoot of the response.
(d) Using the final-value theorem, determine the steady-state value of y(t).
Figure 5.13(a)

2(s + 8) ss + 4) 10 5.0 2.0 o, 1.0 " 0.5 0.2 5 10 20 Percent overshoot 50 100 200 500 1000