Question

Problem Sketch the Root-locus (Plet the Keo, n= Plont Gpin Ris) His HCS)- <Closed loop system O KIS)=k GO-zsti Root nas Kis)= K(st2) G()-(St1) KiS)=k Rut locus? GI9)= SCstio) 20 K-K Rt lacus? (α4-0 θς 6-63 Rut locus? (oo457(107t5)5 519 :()

Answer 1

Plant haun Rc) KOS) (57tt Cs) K) GIS) R4) 1 KO Gs)Hs open loop TF= ope pFk46) k(s) K K TF - S (St K o メチ -,5 -t 1tasmp 21t Ked 180 P-7 9こ01.. P-Z

We 6 - D.S Centroid (r 2 Break 20 d s ds sCSt d s t+ s \alid Breat 20 29 t k k(s+2) k (s+2) Tf s(5+1) 21t180 120,1P-7 1-0 186 C6-1)-C-2) -I+2 z 1 20

Kzo ko Ka .8 2 dk Breat 20 as S+2 #/ 20 d s s (Sti) d St2 ds s2s -6+2 2 -2-k -us-2 20 2 -S-uS-- 2 20 S,3.41,-o.58 Gs0-5 Breat aLypt (S+) 2 Gs)= Ks)K S 3 2 k Cs+1) TF s 3

ヒ=0 C ko dK Break 20 C3 2SG)-3(1)o 2225-35265-3-0 s24us+3 0 S1-2- Poirdt Breat Valid Gs)s(S+10) (Or+5)5

Y 291 P-7 Y180 9o, 2 700 Tt le dと Breal ds d s - 2 0 0 S ヒ(s+20) ) rs) = K(s+20) ヒze Izo メナ 20 10

Brak St20 20 t105 (3+103) )20) (2s 10) - -200 2 4os-2 20 St405420 20 -34-142,-5.85 Prcak auy 6-63 Gs) Ł 6.63 K s(s+1) (+1o0) k-0 - 33.9 .1) 100 elT

21+1 180 20, , 2 60 188, 300 Cantraid (v) 0-1-71-1OD -101-7 -33.10 3 BYcak ds 6.63 6.63 20 tJIL19s -st 2b3-425 3 203.4211 7/ 0 Sニ-6695) -0.85