Question

please help to solve this. Thank you

B1. For the system shown in the figure, find the steady state error for a unit step input. R(S) + E(S) C(s) 100 s(s + 10) (s + 5)

Answer 1

U ) R(S) El C(3) s(s+10 1 15+5) Given, Gis) = 100 s(5+10) 1 HIS) - S+5 ܝܙ RIS) and, - 응 S the Question This is based on concept of Non-un - unity feedback system * for this problem : • Steady state error es ess = lim sE(S) Tess 1 lim T(s) ess = R (s) KH 50 Sto

12 KA where, t(s) = closed Loop Transfer function = Dc gain of feed back path. De gain of feedback path is given by » KH = lim H(s) = lim lim L * De sto SO st5 . [km = 1/2 closed - hoop system transfer function is TIS) = GS) 10%s\5+10) 1 +G(HIS) 1 to 100 s(s+10) 100 (5+5) T) - s(5+5) ($+10) + 100 X St5 * for ㅗ s unit step input , Ris) = lim s 100 (5+5) S(5+5) (5+10)+100 esslim sto 100 | 5+5) 5(5+5) (5+10)+100 100 x 5 100 - O essa ecs=0 This is required Answer