A unity feedback system with loop transmittance

\[
\mathrm{G}(s)=\frac{\mathrm{K}}{s(s+5)(s+20)}
\]

operates with approximately \(55 \%\) peak overshoot and 0.5 seconds peak time when the gain \(\mathrm{K}\) is adjusted to yield the velocity error coefficient \(\mathrm{K}_{v}=10\).

Use frequency response approach to design a PD compensator to reduce the peak overshoot to \(10 \%\) while keeping the peak time and the error coefficient about the same or less.