Question

20 100 10 Frequency (dis) -200 300 0.1 100 10 Frequency (radis) 20 tog M 40 Usng ufon Bde Plt f KG( Pictuve Closed oup systeu's chatctenic equati s Dis)e +kG (a): usng Magnitude Plot, Detaine the form of Thnfer fenctin from Stope of HL freueney, stofe t fow freguancy, Cut oft fetuancy an Sretch the Voot -locus C6) from the Bale Aot Pictuve, perevaine Gain mavgn (m) / and Phase margin lPM) C Prom the Bode Plht Pictun, Spetch the Myuist Plst USmg upon Bode Plt of kGIS) Picture 2froum Closed lop System's chahectenic equation TS Des)= ItkG() la): using Magnitude Plot, Detamine the torm of Transfer ferction / from slope of HiL fresuency, s1ofe ot low freguancy, Cut-oft fefuency an Spetch +the Voot -locuS Cb): from the bale ot Pictuve Detevane Gain mavgn (n) and Phase margin lPM) ): from the Bode Plt Pictur, setch the MYust Plot USMg upon Bode Plt ot kG(S) Pictuve VArean Closed loup syYstem's chakactenic eguation Ts Des)= +kG(9) la): usna Maghitule Plot, Detamine the torm of Transfer fenction from Stope of HL freguency, Stope ot low fre9uancy, Cut-oft feuancy an Sketch the root -locus C6) 4om the Bale ot Pictuve petevaine Gain margn Cm) and phase margin PM) C: from the Bode Plt Pictur, Seetch the Must Plst

Answer 1

As pe the given Magnitude phase plot 40 20 GM--1ode 20 -40 -60 -80 -i co 0 1 LC -50 -100 130 PM 50 150 -180 -250 -300 Spc ico 1 O.L Mag nibde plot, de/dac -40 ds/aec. say Con se kelp slope feguenoy peg uaney the (a) With at slope tho and js s taubng Wgher -20 d/ sec neauly at is huncbon as Trans fer wute we COn K G(s) (s+ L0) Root Locus S-10

Bode plot (b from dagam the can find we Phase Magin & above Gain Margin shown as [At (xanddo (appaox) 5 0 PA LAt GM Nyqust plot K G () Trans fer functon know We s (stio) K Magnitude Ang le -90-tan uo Ang lo- Angle 90 Mag Mog At -180 u9O Nyg Plot ust