Obtain the root locus diagram of a system defined in state space using MATLAB. The system equations are

\[\dot{x}=A x+B u \quad \text { and } y=C x+D u \quad \text { and } \quad u=r-y\]

where $r$ is the input and $y$ is the output.

The matrices $A, B, C$, and $D$ are:

\[\begin{aligned}& A=\begin{array}{rrr}0 & 1 & 0 \\0 & 0 & 1 \\-150 & -50 & -15\end{array} ; B=\begin{array}{r}0 \\1 \\-15\end{array} \\& C=\left[\begin{array}{lll}1 & 0 & 0\end{array}\right] ; D=[0]\end{aligned}\]