A feedback system with negative unity feedback has

a loop transfer function

L s G s G s

s

s s c

$28$

$4$

$()()().$

$()$

$()$

$==$

$+$

$+$

$($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$)$ Determine

the percent overshoot of the response. $($d$)$ Using the

final$-$value theorem, determine the steady$-$state value

of y$($t$).$