engineering recuitment GATE ECE 2023-24 Test Series Control Systems Signal Flow Graph and Block Diagram Mason's Gain Formula
The block diagram of a feedback control system is shown in the figure.
The transfer function \(\frac{Y(s)}{X(s)}\) of the system is
1
\(\frac{{{G_1} + {G_2}}}{{1 + {G_1}H}}\)
2
\(\frac{{{G_1} + {G_2} + {G_1}{G_2}H}}{{1 + {G_1}H}}\)
3
\(\frac{{{G_1} + {G_2} }}{{1 + {G_1}H}+{G_2}H}\)
4
\(\frac{{{G_1} + {G_2} + {G_1}{G_2}H}}{{1 + {G_1}H + {G_2}H}}\)