engineering recuitment GATE ECE 2023-24 Test Series Control Systems Signal Flow Graph and Block Diagram Block Diagram Reduction Technique
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 \(H\left( s \right) = \frac{{Y\left( s \right)}}{{X\left( s \right)}}\) is
1
\(H\left( s \right) = \frac{{{s^2} + 1}}{{{s^3} + {s^2} + s + 1}}\)
2
\(H\left( s \right) = \frac{{{s^2} + 1}}{{{s^3} + 2{s^2} + s + 1}}\)
3
\(H\left( s \right) = \frac{{s + 1}}{{{s^2} + s + 1}}\)
4
\(H\left( s \right) = \frac{{{s^2} + 1}}{{2{s^2} + 1}}\)