The state equation and the output equation of a control system are given below: ˙{x} =\left[\begin{array}{cc}-4 & -1.5 \ 4 & 0]\end{array} x+\left[\begin{array}{c}2 \ 0]\end{array} u y =\left[\begin{array}{cc}1.5 & 0.625]\end{array} {\x} The transfer function representation of the system is

Correct Answer is : 3s+5s2+4s+6

\frac{3s + 1.875}{s^{2} + 4s + 6}

\frac{4s + 1.5}{s^{2} + 4s + 6}

GATE Electronics and Communications (EC) 2018 Solved Paper

Question : 39 of 65

Marks: +1, -0

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

˙{x}\;={[\table -4 , -1.5 ; 4 , 0]} x+{[\table 2 ; 0]} u

y\;={[\table 1.5 , 0.625]} {\x}

The transfer function representation of the system is

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