Use PLECS to plot the Gvd for the Buck$-$Boost converter.

Use the following parameters:

$($a$)$ Vin $=12$ V

$($b$)$ Vout $=5$ V

$($c$)$ f $=300$ kHz

$($d$)$ L $=50$ H

$($e$)$ RL $=1$ m$$

$($f$)$ Cin $=100$ F

$($g$)$ Cout $=100$ F

$($h$)$ RCin $=1$ m$$

$($i$)$ RCout $=1$ m$$

$($j$)$ switch Rdson $=5$ m$$

$($k$)$ Load current: i$)10$ A ii$)30$ A

Change Vout $=15$ V$.$ Use PLECS to plot the Gvd for the Buck$-$Boost converter.

Design the PD compensator for the Buck$-$Boost converter above.

Meet the following requirements:

$($a$)$ Crossover frequency at $30$ kHz

$($b$)$ Phase margin at $50$