Examveda

For a state space representation of a system \[{\rm{A}} = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 3}&{ - 2} \end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l} 0\\ 1 \end{array} \right]\]     and C = [1 2] . Then transfer function of system would be:

A. \[\frac{1}{{{s^2} + 2s + 3}}\]

B. \[\frac{1}{{{s^2} + 5s + 6}}\]

C. \[\frac{{2s + 1}}{{{s^2} + 2s + 3}}\]

D. \[\frac{{3s}}{{s + 5}}\]

Answer: Option C


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