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Official PYQ · 2018

GATE EC 2018 Set 1 Q29 — Circuit Analysis

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The state equation and the output equation of a control system are given below:

x˙=[−4−1.540]x+[20]u,\dot{x}=\begin{bmatrix} -4 & -1.5\\ 4& 0 \end{bmatrix}x+\begin{bmatrix} 2\\ 0 \end{bmatrix}u,

y=[1.50.625]x.y=\begin{bmatrix} 1.5 & 0.625 \end{bmatrix}x.

The transfer function representation of the system is 

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Answer: A

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