Question

Der Facebook Instagram Google Çevini Z Dashboard Gime American Un Cloud Uçak Bleti Rezena S Solutions to Electric. W Avengers Compute. S Along, stra N RSITY Evaluate steady state error of the following system with unity feedback for 3 basic input functions; I step(t)=ks,Tramp(t)=ket, parabolic(t)=Rt/2. G(s) = 5s +5 (s+12)(8+5) Sansimsiye gelen ilk soruya bak

Answer 1

Solution Foror can be written as Els)- RO) I+G6)H(s) ) where R(s) is input Gls) is forward path function and His) is Judback Steady state error will be e(o) = Lim SE(S) Sno & step (t) = ks Taking laplace of input rstep (t) R(S) = k, S E(s) = kisk It 5515 52 (5+12)(5+5) [-HC)=as unity Judback is giver ES) - ks s(s+12) (545) 5215+12) (+5) + 55+5

Steady state coros for step input will be e(o)= It s E() sto eloo), it s. ks s (SHIL)(575) sto ${(5+12)(5+5) +5515 eloo)=0 %rary (t) = Ket Taking Laplace transform of the ramp input transform [ta Caplan Ž R/S) = KR S2 ; E) Kr/2 R(S) HG(S) HIS) 1+ 1 55+5 54/5+12)(5+5) [ HIS=1 unity fudback is given Els): KR (5+2)(5+5) 52(5+12)(5+5) +5575 Steady state error for ramp input will be Clo)= It sEls) It s. kp (S+12) (5+5) 54/5+12)(5+5) +55+5 e(o)= Soo sto

o porabolickt = Rt² 2 Taking Laplace transform of the porakelic input R(S) = RxI [t2 lablau <3 2 transform R/3 i Elst R(S) I+G(3) HOS) It 55+5 52(5+12)(5+5) Els)= R (5+12) (3+5) s[52(5+12)(5+5) +55+5) state error Steady for parabolic input will be e(o)= It SE(S) sto clo) = Lts. R (5+12) (5+5) s [s(5+12)(3+5) +55+5 sto GOR e(a)= 12R 5 elo)=12R