EXERCISE

$7\mathrm{.}13\mathrm{.}42$: $($Chapter $7,$ Problem $42$ in the $8$th Edition$).$

$(?)$

As part of the development of a textile crosslapper machine $($Kuo$,2010),$ a torque input, is applied to the motor of one of the movable racks embedded in a feedback loop. The corresponding velocity output response is shown below ${?}^7.$

$($a$)$ What is the open$-$loop system's type?

$($b$)$ What is the steady$-$state error?

$($c$)$ What would be the steady$-$state error for a ramp input?