The transfer function C(s)/R(s) for the block diagram shown in Fig. is given by:
1
\(\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{{{G_1}{G_2}}}{{1 - {G_2}{H_1} + {G_1}{G_2}{H_2}}}\)
2
\(\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{{{G_1}{G_2}}}{{1 + {G_2}{H_1} - {G_1}{G_2}{H_2}}}\)
3
\(\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{{\left( {{G_1} + {G_2}} \right){H_2}}}{{1 - {G_2}{H_1} + {G_1}{G_2}{H_2}}}\)
4
\(\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{{{G_1}{G_2}{H_1}}}{{1 + {G_2}{H_1} + {G_1}{G_2}{H_2}}}\)
5
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