A unity feedback system has the loop transmittance [ mathrm{G}(s)=frac{1000 mathrm{~K}}{s(s+40)(s+100)} ] Design a lead compensator so
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A unity feedback system has the loop transmittance
\[
\mathrm{G}(s)=\frac{1000 \mathrm{~K}}{s(s+40)(s+100)}
\]
Design a lead compensator so as to achieve the following specifications:
(i) Peak overshoot \(=15 \%\)
(ii) Error coefficient \(\mathrm{K}_{v}=40\)
(iii) Peak time \(=0.1\) second.
Use frequency response approach.
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