Synthesize a controller for a cone system

$G_f(s)G_P(s)=\frac{0\mathrm{.}2}{2\mathrm{.}5(s)+1}y{G}_m(s)=(\frac{1}{0\mathrm{.}5(s)+1},$ minutes ${?}^{?}-1$

whose closed$-$loop response for a servo problem is first order with a gain of $1$ and a time constant of $1\mathrm{.}5$ minutes. What type of controller is it