Solving State-Variable Models Homework

[LostMechE901]

Homework Statement

Homework Equations

$\dot{x} = Ax + Bu$ - Input Function
$y = Cx + Du$ - Output Function

The Attempt at a Solution

I'm having trouble with the output functions specifically ..
In a.) the correct solution for the output is: \begin{align} & y_1 = x_1 \\ & y_2 = x_2 \\ & \begin{bmatrix} y_1 \ \\ y_2 \end{bmatrix} = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} + \begin{bmatrix} 0 \\ 0 \end{bmatrix} u \end{align}

Now for part b.) the solution is ..

: \begin{align} y_1 & = x_1 \\ y & = \begin{bmatrix} 1 \\ 0 \end{bmatrix}x + \begin{bmatrix} 0 \\ 0 \end{bmatrix} u \end{align}

I don't understand why part a.) has two outputs $y_1$ and $y_2$ whereas part b.) only takes into account $y_1$. What am I failing to understand conceptually? **I figured it out, apparently I can't read -.-**

 

[BvU]

**I figured it out, apparently I can't read -.-**

That's why the template is so good: formulating the problem requires reading (not photographing) it first