For the system given below, an observer is to be designed to estimate the state variables. Select the observer gain and write the equations describing the observer dynamics. Also develop the block diagram for the interconnected system and observer.

\[
\left[\begin{array}{l}
\dot{x}_{1} \\
\dot{x}_{2}
\end{array}ight]=\left[\begin{array}{rr}
-4 & -4 \\
1 & -2
\end{array}ight]\left[\begin{array}{l}
x_{1} \\
x_{2}
\end{array}ight]+\left[\begin{array}{l}
0 \\
2
\end{array}ight] u
\]

\[
y=\left[\begin{array}{ll}
1 & 0
\end{array}ight]\left[\begin{array}{l}
x_{1} \\
x_{2}
\end{array}ight]
\]

Observer eigen values should be \((-10,-10)\).