Question

Find the transfer function Y(s)/R(s) in the given SFG. Use fx to input your answer. H2 Н. L L2 G2 G3 G4 R(S) Gs GS G6 G7 Y(S) L3 L4 Ho H7

Answer 1

Mke hue Forward firen sigual flow Grophe are H2 3 RCS) G4 43 presio that yos 98 H2 Knaa Mat Masoris {MRAK f Gain formula, transfer function c(s) RCS) whore D= t-slum of Individual loop Gains) it Product two alon-touching loops Gairs) (product three dan-touching same as Gains)} which does not touch Path Gain. from the above signal flow graph, identify Forward Paths, loops, & done touching '2 MI= 4,929394 M2 = 9596 47 48 Forwald paths of DK: It is loopa forwoord Path, 100ps yoghout تی ५५ GC 47 L G2 H2 L₂= 4343 H3 H2 "4 loops L32 GG HG L4= HI the ے وہ ہمارا پانا درحايا ع ها را aon-touching loops alpa 4,23=92H246 HG N2=4248= 43434243 N3 = 1144=42H24747 | N4=6248=43436646 D=1- 96H6-47+17 | D2 = 1-G2H2-4343

cs) RCS) M, DHMZ D2 cls 2. =91929394 (1-46H6-4747) + 45969798(1-G2H2-9343) Ris in G2H2-4343 - 96H6-67424 42H2 9646 +42429747 +43H396H6+ 4343 G847 as 914243G4 - 9192939496H6-G, G2 G3 Gu G7H7+G5 G69798 -9295969798H2-4395969798H3 I-G2H2-6343-G6H6-Gara-G2H2 96H6+ G2H2 GHz + G314396H6 + 43439777 Block is 2) Given RES) Diagram fai 7 C(s HI H2 P Convert the block above piagram flow Graph where Summing points Nodes into signal becomes RIO GI C(s) HI -H2 one-Forward path MIEG → I DE{-o}=1 4= GIGHD, L2=9, (-H2) 2 Loops No donetouching Loops

MIAL - cls2 R(S) G1C1) T-CG, C++11+. G16+12) GI cs) RCS) HGH, 41 42 G > Given signal f low Graph (x1812 2 me Nodes) R X1 742 72 MIEG M2=G2 2 Forward Paths 4= GIGH) | L2 = 42C-H) 2 loops 0, 31-(0)| Dos C-0) - no-non-touching loops C 17 MiAlHM 202 G1+42 IGI Hat 424 음 =9442 HG1H+G2h > Given signal flow Graph is 43 92 х4 1.85 72 91 Gu R استاد 12 HI X H 2 MI-914492 M2=9,9493 >2 fosword paths : جا = GIGG G3 (H2) 3 loops 7 415 G1G4HI (2= =919442C-H2) ao don touching Loops D=1-6) 1 D221-(0) GIG4 § 92+43} 1 - G194ęHI - 42H2– 43423 kula