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Clarify b1 and b2 in DC-DC example #330

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Feb 19, 2024
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Clarify b1 and b2 in DC-DC example #330

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2 changes: 1 addition & 1 deletion docs/src/examples/solvers/DC-DC converter.jl
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Expand Up @@ -16,7 +16,7 @@ using Test #src
# ```
# with
# ```math
# A_1 = \begin{bmatrix} -\frac{r_l}{x_l} &0 \\ 0 & -\frac{1}{x_c}\frac{1}{r_0+r_c} \end{bmatrix}, A_2= \begin{bmatrix} -\frac{1}{x_l}\left(r_l+\frac{r_0r_c}{r_0+r_c}\right) & -\frac{1}{x_l}\frac{r_0}{r_0+r_c} \\ \frac{1}{x_c}\frac{r_0}{r_0+r_c} & -\frac{1}{x_c}\frac{1}{r_0+r_c} \end{bmatrix}, b = \begin{bmatrix} \frac{v_s}{x_l}\\0\end{bmatrix}.
# A_1 = \begin{bmatrix} -\frac{r_l}{x_l} &0 \\ 0 & -\frac{1}{x_c}\frac{1}{r_0+r_c} \end{bmatrix}, A_2= \begin{bmatrix} -\frac{1}{x_l}\left(r_l+\frac{r_0r_c}{r_0+r_c}\right) & -\frac{1}{x_l}\frac{r_0}{r_0+r_c} \\ \frac{1}{x_c}\frac{r_0}{r_0+r_c} & -\frac{1}{x_c}\frac{1}{r_0+r_c} \end{bmatrix}, b_1 = b_2 = \begin{bmatrix} \frac{v_s}{x_l}\\0\end{bmatrix}.
# ```
# The goal is to design a controller to keep the state of the system in a safety region around the reference desired value, using as input only the switching
# signal. In order to study the concrete system and its symbolic abstraction in a unified framework, we will solve the problem
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