(Solved): Consider a buck-boost converter in shown below. The output voltage is determined by the duty cycle ...

Consider a buck-boost converter in shown below. The output voltage is determined by the duty cycle of the MOSFET transistor. The relationship between input and average value of output voltage is: ( $$?$$ is the duty cycle) $$?V_{\text{out }}?=\frac{?}{1??}{V}_{\text{in }}$$ Suppose signal $$g(t)$$, a square wave with duty cycle $$?$$, is applied to the point " $$\mathrm{g}$$ " (when the switch(s) is "on" the diode is "off" and vice versa, switches are ideal). Find the small signal model of the converter.