Consider a first$-$order system with a transfer function given by: G$($s$)(3$s$+2)/($s$^2+5$s $+6)$

Determine the Laplace transform of the output, Y$($s$),$ when the input, U$($s$),$ is a unit step function. $(15)$

$2.$

$($a$)$ Give physical example of a first order system. $(10)$

$($b$)$ Transportation Lag.

$3.$ Explain

$($a$)$ cascade control

$($b$)$ ratio control

$($c$)$ override control

$($d$)$ feed forward control