GATE Electronics and Communications (EC) 2019 Solved Paper

Question : 38 of 65

Marks: +1, -0

The block diagram of a system is illustrated in the figure shown, where

X(s)

is the input and

{Y}( {s})

is the output. The transfer function

H(s)=\;{Y(s)}/{X(s)}

Solution:

\;{\;{s^{2}+1}/{s}}/{1+\;{s^{2}+1}/{s}}=\;{s^{2}+1}/{s^{2}+s+1}

{TF}=\;{\;{s^{2}+1}/{s(s^{2}+s+1)}}/{1+\;{s^{2}+1}/{s(s^{2}+s+1)}}

∴ T F=\;{s^{2}+1}/{s^{3}+2 s^{2}+s+1}

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