Question

3- Consider the system: $\dot{x} = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -5 & -6 & 0 \end{bmatrix} x + \begin{bmatrix} 0 \\ 0 \\ 1 \end{bmatrix} u$ y = $\begin{bmatrix} 1 & 0 & 0 \end{bmatrix} x$ Is the system observable? Onone of the choices are correct unobservable observablenDesign a full order observer with desired close will be -12, -12, -15. Onone of the choices are correct $L = \begin{bmatrix} 8 \\ 18.6 \\ 600 \end{bmatrix}$ $L = \begin{bmatrix} 2.8 \\ 16 \\ 200 \end{bmatrix}$ $L = \begin{bmatrix} 39 \\ 498 \\ 1921 \end{bmatrix}$

          3- Consider the system:
$\dot{x} = \begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ -5 & -6 & 0 \end{bmatrix} x + \begin{bmatrix} 0 \\ 0 \\ 1 \end{bmatrix} u$
y = $\begin{bmatrix} 1 & 0 & 0 \end{bmatrix} x$

Is the system observable?
Onone of the choices are correct
unobservable
observablenDesign a full order observer with desired close
will be -12, -12, -15.
Onone of the choices are correct
$L = \begin{bmatrix} 8 \\ 18.6 \\ 600 \end{bmatrix}$
$L = \begin{bmatrix} 2.8 \\ 16 \\ 200 \end{bmatrix}$
$L = \begin{bmatrix} 39 \\ 498 \\ 1921 \end{bmatrix}$

3- Consider the system:
ẋ =
< b m a t r i x >
x +
< b m a t r i x >
u
y = < b m a t r i x >
x

Is the system observable?
Onone of the choices are correct
unobservable
observablenDesign a full order observer with desired close
will be -12, -12, -15.
Onone of the choices are correct
L =
< b m a t r i x >
L =
< b m a t r i x >
L =
< b m a t r i x >

Added by Brian C.

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