Question: Design a lag-compensator for a unity feedback system with forward transmittance [ mathrm{G}(s)=frac{mathrm{K}}{(s+1)(s+3)(s+5)} ] to yield the following specifications: (i) peak overshoot (leq 10 %)

Design a lag-compensator for a unity feedback system with forward transmittance

\[
\mathrm{G}(s)=\frac{\mathrm{K}}{(s+1)(s+3)(s+5)}
\]

to yield the following specifications:

(i) peak overshoot $\leq 10 \%$

(ii) step error coefficient $\geq 4$

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