Multiple choice

The block diagram of a system with one input it and two outputs y1 and y2 is given below:

A state space model of the above system in terms of the state vector x and the output vector y = [y1 y2]T is

  1. $\bar x$ = [2]x + [1]u; y = [1 2]x
  2. $\bar x$ = [- 2]x + [1]u; y = $ \left[ \begin{array} \ 1 \\\\ 2 \end{array} \right] $x
  3. $\bar x$ = $ \left[ \begin{array} \ -2 & 0 \\\\ 0 & -2 \end{array} \right] $x + $ \left[ \begin{array} \ 1 \\\\ 1 \end{array} \right] $u; y = $ \left[ \begin{array} \ 1 & 2 \end{array} \right] $x
  4. $\bar x$ = $ \left[ \begin{array} \ 2 & 0 \\\\ 0 & 2 \end{array} \right] $x + $ \left[ \begin{array} \ 1 \\\\ 2 \end{array} \right] $u; y = $ \left[ \begin{array} \ 1 \\\\ 2 \end{array} \right] $x
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B Correct answer
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