$2-$ For the following feedback control system design the simplest $($pure gain, lead, lag, or lead$-$lag$)$ controller $C(s)$ such that the closed loop poles are located at $s=-12+-j11$ and the steady state error for the step response is less than $2\%.(30$pts$)$

$c(s)\frac{s+45}{(s+3)(s+15)}$