Question

Question) The transfer function of the system given in the block diagram below
a) Find with the block diagram reduction method?
b) Find by Routh-Hurwitz stability analysis method?
NOTE: Draw option b on the flow diagram and solve it.

R(S) C(s) GA G3 G H

  

Answer 1

this WP Will minimize WP know that limportant point) R(3) (13) wll 1612 (3) ullora RIS) - RIS:) c(s) ola thit cl (3) RIS) 1+041 H1 It Hi=1 (13) 1tul RIS) the block diagnroos

oliven block diagram. (②) + + CD G3 4 에 A) H 찌 13. 너4 013 0) +) Hit

RI) + 여 H Mg) + THE LV RES) g내크 font 때 1+) 17 THM () R) 구 에이고 44 (1+) ( 1+ gtgunt (B) R(S) 에g의3 44 | 147) Attages) + bibly lugi4-

RS) vil ola 0131 어사 2 PRAK I K-) A A = (Sum of all loop? conversion of signal flow graph According to moson gain formula - TG) n total 00.04 forwaud path. Pk & Kth forward path AK sum m of loop which does not touch to kth path) +Sum of product my two non touching 100p which is not touching to kth path) two non touching 100p] - (3um of thope non ceny touching O loop

total no. of path all 계 드 에엠 M3내아 number 100p. LI - 녕 L3 = -bg utz 24.-에0893 44 - L 41=1 ( all 10op cele touching Kth Path) 1 - - (+3 +나) + 4- 1- |-- - 3 - L94) L-에서의 t메서었어 대 예ug 0203+10g 003W4 + 에너+에녀2 M3 Now putting all thosp Parampity. 에g 내르W4 ?T6) J++IT FHges t Ning gt 에나 + 에내g W4