Question

40 20 20 -60 -80 -100 0.1 100 10 Frequency (radis) -50 -100 -150 200 250 -300 0.1 10 100 Frequency (rad/s) Phase (degrees) 20 log M O Pictuve UShg upon Bode Plot of KGIS) Closed lop syStem's chaactentic eguation is Des)= 1+KG(S) (4) uhg Magnitude Plot, Detamine the torm of Transfer fevction from slope of HigL fretueney, Slope t low freguency, Cut-aft fefuency an Sretch the Voot -locuS t(wro Miw) 20d8 Vampng atto =1) on a seand -order System) C6) from the Bale Aot Pictuve petevaine Gain margn Com) / and Phase margin lPM) () Prm the Bode Plot Pictue Seetch tle MH4ist Plst

Answer 1

Three poles are at a corner frequency of 10 rad/s and it is a type one & fourth order system. DC gain is 3. Gain cross over frequency calculation does involve a fifth order polynomial equation therefore it is better to approximate from the magnitude plot where the the line touches zero dB at w = 1.8 rad/s. It is a stable system as both GM and PM are positive

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