**Appendix B. Coefficients of the Transfer Functions of Model B**

The coefficients of the transfer functions (24) and (25) of state-space model B are expressed using the following equations:

$$\begin{cases} \begin{array}{c} n\_{2} = \frac{V\_{c0} + R\_{c}(I\_{L10} - I\_{L20})}{L} \\ n\_{1} = \frac{\left(1 - \overline{d}\right)I\_{L10}\left(L - \mathbb{C}R\_{c}^{2}\right) + n\_{2}LC(R\_{L} + R\_{c})}{L^{2}\mathbb{C}} \\ n\_{0} = \frac{\left(1 - \overline{d}\right)I\_{L10}\left(R\_{L} - R\_{c}\right) + n\_{2}L}{L^{2}\mathbb{C}} \end{array} \tag{A4}$$

$$\begin{cases} \begin{array}{c} d\_3 = 1\\ d\_2 = \frac{2R\_L + \left(2 - \overline{d}\right)R\_c}{L} \end{array} \\\ d\_1 = \frac{R\_L^2 + R\_c\left(\left(2 - \overline{d}\right)R\_L + \overline{d}\left(1 - \overline{d}\right)R\_c\right)}{L} + \frac{1 + \left(1 - \overline{d}\right)^2}{L^2} \\\ d\_0 = \frac{\left(2 - \overline{d}\right)R\_L + \overline{d}\left(1 - \overline{d}\right)\left(R\_c - R\_L\right)}{L^2\mathbb{C}} \end{array} \tag{A5}$$

$$R\_k = \frac{\left(1 - \overline{d}\right) \left(V\_{c0} - I\_{L20}R\_c\right)}{I\_{L10}} - R\_L \tag{A6}$$

### **References**

