Use frequency response methods to design a lag-compensator for a system in unity feedback configuration, with open loop transmittance

The design goals are

\[
\mathrm{G}(s)=\frac{\mathrm{K}}{s(s+1)(0.2 s+1)}
\]

(i) \(\mathrm{K}_{v}=10\)

(ii) Phase margin \(\phi_{m s}=30^{\circ}\)