Design a cascade PD compensator for the unity feedback system with transmittance [ mathrm{G}(s)=frac{mathrm{K}}{(s+2)^{2}(s+3)} ] so that

Question:

Design a cascade PD compensator for the unity feedback system with transmittance

\[
\mathrm{G}(s)=\frac{\mathrm{K}}{(s+2)^{2}(s+3)}
\]

so that the following design objectives are met:

(i) \% peak overshoot $=25 \%$

(ii) settling time, $t_{s}=1.6$ seconds

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