Question

Problem #1 For the system below, find the steady-state error for the inputs 15u(t), 15t(t), and 15t2u(t), respectively. [0, 127.5,] R(s)+ C(s) 2 s+3 4s

Answer 1

2 RAS) St3 Basic concept steady stale esso (ess: RCS) c(s) ERES) RGs ICS FGs) → Emor signal

(i) steady, state emor㎞ step input, Au LL G(S) 1+K (ili) steady state error f7 puak olic input, At,a띤 创 ARt wheseiuleot coispdi n ihol ingit siyhal Kp = Positiord ernor ohstant

Frst Pind clase loop xahsfen fuhcHoh, fn that appy Mason's Gai tonula ん RS) Whee, nこhernben of fdaand paths MxkForand Path gain - Csum et the Sain predtuces of thaee heh bouching bops th Ak 는 Te value atô, nhich is not beaching the K Fowand path (Mr)

Fo he gveh System 2. 2 2. 2 2. 2+2S C(S RCS) s+t Noa). Convent this into standard crit hagative -feedback SMsten

2 203+ S(SH구 cC) 2st) 15T l5* Ky = 15x 2fst s-う。 S-90 I5T