Question 2 The results of an open loop frequency response test are presented in Table Q2. w (rad/s) 10 37 Gain (dB) 40 Phase (°) -29 30 100 200 300 500 700 1000 3000 10000 8.2 -178 -227 -249 -274 -289 -303 -338 | -353 23 -1.7 -15 -25 -35 -71 -112 -80 Table Q2 a) Using Table Q2 above, estimate the following values : i) gain crossover frequency ii) phase crossover frequency iii) gain margin iv) phase margin b) Proportional Control is to be used on the above system to achieve a phase margin of 60°. What value of proportional gain is required ?

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Question 2
The results of an open loop frequency response test are presented in Table Q2.
|@ (rad/s) 10
Gain (dB) 40
Phase (°) -29
700 1000 3000 10000
-15
30
100
200
300
500
37
-35
-178 -227 -249 -274 -289 -303 -338
8.2
23
-1.7
-25
-71
-112
-80
-353
Table Q2
a)
Using Table Q2 above, estimate the following values :
i)
gain crossover frequency
ii)
phase crossover frequency
ii)
gain margin
iv)
phase margin
b)
Proportional Control is to be used on the above system to achieve
a phase margin of 60°. What value of proportional gain is required ?
Transcribed Image Text:Question 2 The results of an open loop frequency response test are presented in Table Q2. |@ (rad/s) 10 Gain (dB) 40 Phase (°) -29 700 1000 3000 10000 -15 30 100 200 300 500 37 -35 -178 -227 -249 -274 -289 -303 -338 8.2 23 -1.7 -25 -71 -112 -80 -353 Table Q2 a) Using Table Q2 above, estimate the following values : i) gain crossover frequency ii) phase crossover frequency ii) gain margin iv) phase margin b) Proportional Control is to be used on the above system to achieve a phase margin of 60°. What value of proportional gain is required ?
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