Problem $2$:

Complete $8\mathrm{.}1$ from Fundamentals of Power Electronics, $\backslash (3^\{\backslash$text $\{$rd $\}\}\backslash )$ Edition.

Note: the magnitude plots are shown with the frequency in Hz $,$ but for simplicity you can write the transfer functions in terms of $\backslash (\backslash$omega$(\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\})\backslash ).$

$8\mathrm{.}1$ Express the gains represented by the asymptotes of Figs. $8\mathrm{.}62($a$)$ to $($c$)$ in factored pole$-$zero form. You may assume that all poles and zeroes have negative real parts.