Question: The forward path transfer function of a position control system with velocity feedback is given by [ mathrm{G}(s)=frac{mathrm{K}}{s(s+p)} ] Determine the sensitivity of the transfer

The forward path transfer function of a position control system with velocity feedback is given by
\[
\mathrm{G}(s)=\frac{\mathrm{K}}{s(s+p)}
\]
Determine the sensitivity of the transfer function of the closed loop system to changes in \(\mathrm{K}, p\) and \(\alpha\) for transfer function of the feedback path \(\mathrm{H}(s)=(1+\alpha s)\). The nominal values of the parameters are \(\mathrm{K}=12, p=3\) and \(\alpha=0.14\).

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First lets define the terms 1 The openloop transfer function Gs is K ssp 2 The feedback function Hs ... View full answer

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