Question

Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(3) + E(S) Y() G(s) H(S) Figure 2 shows the Nyquist plot for the open-loop transfer function. Nywist Diagram Systems imag: 2.5606 FC-56 THVL AM On RAH System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16

Answer 1

Q qiven, fosse Yis) Gis) H(S) where, 4 is) His) a (3+4) (5+2)/5+3) 2.56) W225 16 rally see 0:18 -2.50)

(a) find out the gain is B. Is the sle of unstabled margin expressed Essable Sepstem ain- o CG.M.) yair Margin 을 :: (4.14.)dio? Bologio lá) I erhapoli) So capolavor) ologio Qo (5.344 :) -. (G.y.) do of 14.56 dB. estability امي مل کر We use. for fi fidering stability N=P-Z where Nino pa no fenisdement of -ispo paring & open-crop potes in Ritte I close-cap poles is Rettop- f Zz oro. WOWA

Now, Ao (5+2)/5+3)579) ';:0.6.7.8.2 416) Ho Po pen-Lop potes is R. H.p.2 0. _'. i N = Pz. & N = mo. & enualement of 14 A lap point is outside the cercle. .. Nico Na Prz oo-z Izzo > Herce, the Lyoltem is estable (6) The race & the gain (in do) to sorage the sef stens marginally stacle. is nothing but gain morgen dB7 in da . 14:56 Anni