Question

s+5 and A. Find the equivalent transfer function of three cascaded blocks, G1 G3(s) = $15 B. Find the equivalent transfer function of three parallel blocks, G G3(s) = $13 C. Find the equivalent transfer function of the negative feedback R(s) system of Figure 1 if G(s) = 82, and H(s) = $13 D. For the system of 1. C, push H(s) to the left past the summing junction and draw the equivalent system. E. For the system of 1. C, push H(s) to the right past the pickoff point and draw the equivalent system. "*®-Go /co) G(s) H(s) Figure 1

For the control system engineering problems ,

d) for the system of 1.c, push H(S) to the left past the summing junction and draw the equivalent system

e) for the system of 1.c, push H(S) to the right past the pick off point and draw the equivalent system

please answer D) AND E)

Answer 1

and 63(s) are in A Here Gals), G2'S) cascaded, IRIS 615 6210] [61] cio it's Now equivalent it . CIS) RIS) I Gis ja where, GIS) = 6, IS). 62152.63/5) Now putting the values, GISE SAU Sta) S45) have in parallel blocks, (B) Here we Gls). 16. (6) RIS 16310 and it's earrivalent in, RIS) - 16650 e Hence here, GIS) - G, S) + 6(S) +6315) = I + I + S+3 SAJ Sta Sts. GIS) i 83 105 + 345 +42 (StS+4) (545)

(E NOW Again pussing HiS) to the right Pass the pick off point we have equivalent block an, RLS) G(S) 615) [Hisk RIS) + frist Hence these are the desired results.