GATE EC 2023 Set 1 Q32 — Control Systems

In the following block diagram, $\mathrm{R}(\mathrm{s})$ and $\mathrm{D}(\mathrm{s})$ are two inputs. The output $\mathrm{Y}(\mathrm{s})$ is expressed as $Y(s)=G_1(s) R(s)+G_2(s) D(s)$.

$\mathrm{G}_1(\mathrm{~s})$ and $\mathrm{G}_2(\mathrm{~s})$ are given by