Design PID compensator for the system with pole-zero function [ G(s)=frac{K}{(s+3)(s+6)} ] in unity feedback configuration so

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Design PID compensator for the system with pole-zero function

\[
G(s)=\frac{K}{(s+3)(s+6)}
\]

in unity feedback configuration so as to meet the following specifications:

Peak overshoot \(\leq 1.18 \%\)

Settling time \(\leq 0.7\) seconds

Steady state error for step input \(=0\)

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