A system in unity feedback configuration, has the transmittance [ mathrm{G}(s)=frac{mathrm{K}}{(s+3)(s+9)(s+15)} ] Use frequency response methods to
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A system in unity feedback configuration, has the transmittance
\[
\mathrm{G}(s)=\frac{\mathrm{K}}{(s+3)(s+9)(s+15)}
\]
Use frequency response methods to determine the value of K. Such that system is forced to exhibit
(a) Gain margin of \(10 \mathrm{~dB}\).
(b) Percent overshoot in step response of \(28.5 \%\).
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