Solving State-Variable Models Homework

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LostMechE901
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Homework Statement


Capture.JPG


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 -.-**
 

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LostMechE901 said:
**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 :rolleyes:
 

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