engineering recuitment GATE IN Test Series 2023-24 Mock Test Control Systems Signal Flow Graph and Block Diagram Block Diagram Reduction Technique
The block diagram of a control system is shown in the figure.
The transfer function G(s) = Y(s)/U(s) of the system is
1
\(\frac{1}{{18\left( {1 + \frac{s}{{12}}} \right)\left( {1 + \frac{s}{3}} \right)}}\)
2
\(\frac{1}{{27\left( {1 + \frac{s}{6}} \right)\left( {1 + \frac{s}{9}} \right)}}\)
3
\(\frac{1}{{27\left( {1 + \frac{s}{{12}}} \right)\left( {1 + \frac{s}{9}} \right)}}\)
4
\(\frac{1}{{27\left( {1 + \frac{s}{9}} \right)\left( {1 + \frac{s}{3}} \right)}}\)