$9\mathrm{.}2\mathrm{.}1$: Skill assessment.

help$\_$outline

A unity$-$feedback system with the forward transfer function

G$($s$)=$Ks$($s$+7)$

is operating with a closed$-$loop step response that has $15\%$ overshoot.

$($a$)$

Evaluate the steady$-$state error for a unit ramp input.

$($b$)$

Design a lag compensator to improve the steady$-$state error by a factor of $20.$

$($c$)$

Evaluate the steady$-$state error for a unit ramp input to your compensated system.

$($d$)$

Evaluate how much improvement in steady$-$state error was realized.