Figures (a) to (e) below show the asymptotic Bode diagrams (magnitude and phase) of the constituent parts of five different open-loop transfer functions, ??(?). The Bode diagrams are colour coded. Write the transfer function corresponding to the pair of Bode plots in the space provided to the right of each figure. No need to show any working – just write the standard form of transfer function equation for each diagram.

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Figures (a) to (e) below show the asymptotic Bode diagrams (magnitude and phase) of the constituent parts of five different open-loop transfer functions, ??(?). The Bode diagrams are colour coded. Write the transfer function corresponding to the pair of Bode plots in the space provided to the right of each figure. No need to show any working – just write the standard form of transfer function equation for each diagram.

Bode diagram
Transfer function
40
135
90
20
45
a)
-45
06-
-20
101
135
102
102
100
Frequency - w, rad-sec
10
101
100
Frequency - w, rad-sec
101
20
45
-20
-45
b)
40
-90
-135
-60
-180
-80
102
-225
101
100
10'
102
102
101
10°
10
102
Frequency - w, rad-sec"
-1
Frequency - w, rad-sec"
-1
40
45
믐 20
c)
45
-20
-90
40
102
135
102
101
10°
10'
102
101
10°
101
102
Frequency - w, rad-sec*!
Frequency - w, rad-sec
135
90
45
-45
d)
-90
-135
-180
-225
-270
-315
102
102
101
100
102
10
101
100
102
10
Frequency - w, rad-sec
Frequency - w, rad-sec
100
135
80
90
띵 60
45
40
e)
-45
20
-90
-135
-20
- 180
-40
-225
102
10°
102
102
100
102
Frequency - w, rad-sec
Frequency - w, rad-sec
Magnitude - dB
Magnitude -
Magnitude - dB
Magnitude - dB
gp - apnyube
Phase - degrees
Phase - degrees
Phase - degrees
Phase - degrees
Phase - degrees
Transcribed Image Text:Bode diagram Transfer function 40 135 90 20 45 a) -45 06- -20 101 135 102 102 100 Frequency - w, rad-sec 10 101 100 Frequency - w, rad-sec 101 20 45 -20 -45 b) 40 -90 -135 -60 -180 -80 102 -225 101 100 10' 102 102 101 10° 10 102 Frequency - w, rad-sec" -1 Frequency - w, rad-sec" -1 40 45 믐 20 c) 45 -20 -90 40 102 135 102 101 10° 10' 102 101 10° 101 102 Frequency - w, rad-sec*! Frequency - w, rad-sec 135 90 45 -45 d) -90 -135 -180 -225 -270 -315 102 102 101 100 102 10 101 100 102 10 Frequency - w, rad-sec Frequency - w, rad-sec 100 135 80 90 띵 60 45 40 e) -45 20 -90 -135 -20 - 180 -40 -225 102 10° 102 102 100 102 Frequency - w, rad-sec Frequency - w, rad-sec Magnitude - dB Magnitude - Magnitude - dB Magnitude - dB gp - apnyube Phase - degrees Phase - degrees Phase - degrees Phase - degrees Phase - degrees
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