Question

Find the transfer function X2/X1 of the given signal flow graph. Use fx to input your answer.

Question 8 Find the transfer function X2/X1 of the given signal flow graph. Use fx to input your answer. 40 0 a X10 X2 CD h g

Answer 1

given a d ot g X2 Now Transfer Function = 2 Mason's from gain Formula X2 E MK A *\x n=1 Д where K = no. of Forward path Mk kth Fooward gain D=1-[sum of Loop gain's] Ak = value of which is not touching kth Forward path

Now k=2 [m, = acd efh > Forward path gain = are Now Loops L =cb ans t₂ = fg A = 1- [cb+fg] A = 1-2b-f9 A 1 of- fg - A,= =/fg A2 = l-cb- --- A₂ = 1-cb Now X2 M, A, +M2A2 X A

X₂ T = Х acd[1-49]+ eth[i-ch] 1-cb-fg acdf2= +9]+eth [l-c6] I-cb-fg X₂ = Х

Answer 2

5. Find out transfer function of control system by using Signal flow Graph method, given below in figure 2