A system with transmittance [ mathrm{G}(s)=frac{mathrm{K}}{s(s+6)^{2}} ] is placed in rate feedback control organisation as shown in

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A system with transmittance
\[
\mathrm{G}(s)=\frac{\mathrm{K}}{s(s+6)^{2}}
\]
is placed in rate feedback control organisation as shown in Fig. P 8.8. Find \(\mathbf{K}\) and \(\mathbf{b}\) so as to meet the following design specifications:
![](https://cdn.mathpix.com/cropped/2024_01_29_2138134d668c2d022ae0g-13.jpg?height=118&width=473&top_left_y=1625&top_left_x=606)

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