The state equation and the output equation of a control system are given below; [l mathop xlimits^ = [ *20c - 4 - 1.5 40 ]x + [ l 2 0 ]u y = [ 1.50.625 ]x ] The transfer function representation of the system is

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Control Systems

The state equation and the output equation of a control system are given below;
\[\begin{array}{l} \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} { - 4}&{ - 1.5}\\ 4&0 \end{array}} \right]x + \left[ \begin{array}{l} 2\\ 0 \end{array} \right]u\\ y = \left[ {1.5\,\,\,0.625} \right]x \end{array}\]
The transfer function representation of the system is

A) \[\frac{{3s + 5}}{{{s^2} + 4s + 6}}\] B) \[\frac{{3s - 1.875}}{{{s^2} + 4s + 6}}\] C) \[\frac{{4s + 1.5}}{{{s^2} + 4s + 6}}\] D) \[\frac{{6s + 5}}{{{s^2} + 4s + 6}}\]

Answer & Solution

Correct Answer: Option A

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