Question

Consider following block diagram, R(s) G(s) C(s) 5 a) Find time-domain unit-step response ct) of the system when G(s)= and then specify forced $+4 and natural parts of the response. 10 b) Find time-domain unit-step response c(t) of the system when G(s)= and then (s+2)(s+5) specify forced and natural parts of the response.

Answer 1

Soin Q T.f. :- S CES) RU) stu 415): 4 For unit step %3D -: ८): 5 SC5+4) ई 7 sty Take leplare inverte. 6014 Lider -41 Ct). । 4 5 1 cet) 25 4 seut 4 & torced response : Cet) = { 4 * Natural response Cyct) = -sett 4

by | Tof." CUS) RESO 10 (3+2)(3+5) For unit Step Ile? RISI = 45 - C($) = 10 SiS+2015+5) * particel traction B 10 sesta) (6+8) A + S 7 sis 5 + 2 S+5 10 A(52 +55 +10) + Bis?+55) tels?+28) . A + B + C :D SA + 5B+ 2C zo IO A = 10 JA -1 Bo وت SO Cosla + 5 315+2) 3 - 그. 2. est so S Teke leplume invere. bith side (G) 2 tae 등 fosse response Dutured responce ! Cnetla -57 1 e-27 3 Gets I - + St 3.