Question

Provide the equations of all forward paths Pk, loops Lų, path cofactors Ak, and the determinant A. Provide the transfer function of the system. Understand that the unity feed-forward paths are not connected to one another where they cross visually. The transfer function should take the form... P241 + P242 + ... TF = F 1 -(L+ L2 ...) + .. X(S) -HAGA G Hz 1 YS

Answer 1

Solution AXIS ( X G3 -hi a You I 1 - H2 yana o ris) forward-bom- bi = G, G2 Gy Go Go = G, G₂ Gy Go Go b2=G, GJ Gs G7 Gg = G, G3 G5 G7 Gg þ3 = G, G12. I. Ga G8 = G, Co2 G7 G8 bu = G, Gis. I. 66.678 = Go Go Go Go

loope: - li= - Guhi 12= - Ghz ls= 1.-H. 1.H2 = Hina lila = Gun, GS Hz = G4 G5 H, H2 U Ai=1-12 = 1 + G9h2 A2 = 1- li= I + Gunt, 43= I-o Su=1-0 A= I- (lit le+ ly) + lila = It Gunit G8 Hz + Gu Gs hina-hina By-mum- Gain- formula:- Teranefer- function TE = Piat P2A2+ b JA Jt by Da Gi Gz Gy GG G8 (1+ G 572) + G, GJ Gs G7 G8 [2+6. 15.) + G, G12 G1768 + G Gig Gogg 4 1 ToF = I + G5Hz + Guhit Gu Gshit-1112