Question 2 A proportional controller Gc(s) = K is to be used to control a system with a transfer function: Kw G. (s) = (1+sT)(s²+2Çwn +wA) where: K = 5.6 T= 0.6 Wn 0.8 rad/s 3= 0.2 The table below shows a part complete frequency response calculation for the frequency response data. Complete the table, ensuring that values of gain (F answered to two decimal places and values of phase angle (p) are answered to the nearest degree. rad/s 0.1 0.2 0.5 5 10 R 5.6 5.6 5.6 5.6 5.6 5.6 5.6 K ф deg R 1 0.99 0.96 0.86 0.64 016 deg -3 -7 -17 -50 -72 -81 1.01 1.06 1.19 0.19 0.03 0.0: ф deg -4 -8 -27 -132 -175 -17: R 5.66 7.85 5.73 0.68 0.05 0.0 Total System deg -7 -15 -44 -163 -217 -247

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Question 2
A proportional controller Gc(s) = K is to be used to control a system with a transfer function:
Kw
G. (s) =
(1+sT)(s²+2Çwn +wA)
where:
K = 5.6
T= 0.6
Wn
0.8 rad/s
3= 0.2
The table below shows a part complete frequency response calculation for the frequency response data. Complete the table, ensuring that values of gain (F
answered to two decimal places and values of phase angle (p) are answered to the nearest degree.
rad/s
0.1
0.2
0.5
5
10
R
5.6
5.6
5.6
5.6
5.6
5.6
5.6
K
ф
deg
R
1
0.99
0.96
0.86
0.64
016
deg
-3
-7
-17
-50
-72
-81
1.01
1.06
1.19
0.19
0.03
0.0:
ф
deg
-4
-8
-27
-132
-175
-17:
R
5.66
7.85
5.73
0.68
0.05
0.0
Total System
deg
-7
-15
-44
-163
-217
-247
Transcribed Image Text:Question 2 A proportional controller Gc(s) = K is to be used to control a system with a transfer function: Kw G. (s) = (1+sT)(s²+2Çwn +wA) where: K = 5.6 T= 0.6 Wn 0.8 rad/s 3= 0.2 The table below shows a part complete frequency response calculation for the frequency response data. Complete the table, ensuring that values of gain (F answered to two decimal places and values of phase angle (p) are answered to the nearest degree. rad/s 0.1 0.2 0.5 5 10 R 5.6 5.6 5.6 5.6 5.6 5.6 5.6 K ф deg R 1 0.99 0.96 0.86 0.64 016 deg -3 -7 -17 -50 -72 -81 1.01 1.06 1.19 0.19 0.03 0.0: ф deg -4 -8 -27 -132 -175 -17: R 5.66 7.85 5.73 0.68 0.05 0.0 Total System deg -7 -15 -44 -163 -217 -247
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