Problem 22: Contextual Problem-MIMO System [6 pts]
The passive electrical network has two independent voltage sources and one output, the
voltage across C3. Determine matrices A, B, C, and D of the state-space representation using
$$
\begin{bmatrix}
i_1 \\
q_1 \\
i_2 \\
q_2 \\
i_3 \\
q_3
\end{bmatrix}
$$
the state vector . Submit handwritten solutions as P22.pdf.
L₁
L2
C2
2
3
L3
4
1
4ΔΔ mH
150 mH
150 mH
2ΔΔ µF
R
1
Δ.ΔΔΔ kΩ
R
3
1.5kΩ
+
C₁= 330 µF
+
+
V2
R
2
1.5kΩ
V
out
C3
3ΔΔ µF
0
0
0
0