1. $Y_2 = G_1 Y_1 - G_2 Y_2$
2. $Y_3 = G_3 Y_2 + G_4 Y_3$
3. $Y_4 = G_5 Y_1 + G_6 Y_3$

Where Y4 is the output , Obtain the overall transfer function by using Mason's Gain formula.

Mumbai University > Electronics Engineering > Sem 4 > Linear Control Systems

Topic : Models for Control System

Difficulty : High

Marks : 10M

i) $Y_2$ = $G_1 Y_1 - G_2 Y_4$

ii) $Y_3$ = $G_3 Y_2 - G_4 Y_3$

iii) $Y_4$ = $G_{\sigma} Y_1 - G_{\sigma} Y_3$

Now add all the SFG to obtain TF

step I => Forward path,

$P_1 = G_1,G_3,G_6$

$P_2 = G_5$

step II => Total number of loops, …