Question

Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t) sin(t30*) b) r(t) 2cos(2t - 45) c) r(t) sin(t+30") + 2cos(2t -45)

Answer 1

open loop ansfer fun ction Gis) locp transfen function os then closed G Ls) + Gts) -1/F Y-Gs 10 or'()1o.e 11 C#$/l uohere Ys) is eutbut and ils) sinput (S) 1t for steady -S tate eutkut p sSナー R) ご FIs) Them frSteady slate Valu tH lim fl)im S. S-200 1(は) = Sin +30) them t+aa fle) and L (sind) ) e 30 S then steady Stat utput S.Is) Y( )lim Yis)= Gs) 1s) lim Stリ S-so -4 5 S Jls) .e J)2Ces l2t -45) s 4 then S. foils) Gs) Y/s00) Dim 10 X S+I) = S.2xe S44 - O Angoer

cos2tt-45) 1) 91Sim (t +30) + 45 S 2.C 30 S Sls) st4 s4.1 then Lim fols). is) S. S30 4 5.S 30. S X Stl) Ansher