The given plots are of five different systems Please notice

The given plots are of five different systems. Please notice that some of the graphs are concealed by others in the Bode Diagrams.

Also notice that the Nyquist plots that approach the origin may appear different to their actual behaviour (near the origin) due to the scale of the plot.

Match each Bode plot to its corresponding Nyquist plot.

Bode plot 1   

Bode plot 2

Bode plot 3

Bode plot 4

Bode plot 5

a.Nyquist plot a

b. Nyquist plot b

c. Nyquist plot c

d. Nyquist plot d

e. Nyquist plot e

Bode plot 1    Bode plot 2 Bode plot 3 Bode plot 4 Bode plot 5

a.Nyquist plot a b. Nyquist plot b c. Nyquist plot c d. Nyquist plot d e. Nyquist plot e

Bode Plots 20 0 -20 O -40 -100 120 140 45 -45 -90 -135 0-180 -225 -270 10 10 10 10 10 10 10 Frequency (rad/s) 0.5-

Solution

Bode plot 1 b. Nyquist plot b   

Bode plot 2   c. Nyquist plot c

Bode plot 3 a.Nyquist plot a

Bode plot 4   e. Nyquist plot e

Bode plot 5 d. Nyquist plot d

bodeplot 1 is having -20db/decay at 100 rad/sec

bodeplot 2 is having -20db/decay at 10rad/sec and +20db/decay at 100db/decay

bodeplot 3 is having -20db/decay at 0.1rad/sec and -40db/decay at 100db/decay but no having phase margin

bodeplot 4 is not having gain margin and having phase margin

bodeplot 5 is having -20db/decay at 0.1rad/sec and -40db/decay at 100db/decay