$4\mathrm{.}30$ A feedback control system is shown in Fig. $4\mathrm{.}48.($a$)$ Determine the system type with respect to the reference input $\backslash (\{\}\_\{4\}\backslash )($p$)$r$.$

$($b$)$ Compute the steady$-$state tracking errors, $\backslash ($ e $\backslash ),$ for unit step and ramp inputs. $\backslash ($ e$\_\{8\}\backslash ).$

$($c$)$ Determine the system type with respect to the disturbance input, $\backslash ($ w $\backslash ).$

$($d$)$ Compute the steady$-$state errors, $\backslash ($ e $\backslash ),$ for unit step and ramp disturbance inputs.