GATE Electrical 2015 Set 2 | Question: 55

Question

For the system governed by the set of equations:

$dx_{1}/dt=2x_{1}+x_{2}+u$

$dx_{2}/dt=-2x_{1}+u$

$y=3 x_{1}$

the transfer function $Y(s)/U(s)$ is given by

• A. $3(s+1)/(s^{2}-2s+2)$
• B. $3(2s+1)/(s^{2}-2s+1)$
• C. $(s+1)/(s^{2}-2s+1)$
• D. $3(2s+1)/(s^{2}-2s+2)$