A hydraulic actuated motor has been subjected to a frequency-response test. The data from the test are shown in the following table: w [rad/s] 0.01 0.1 0.3 0.5 1 3 5 10 30 50 100 Magnitude (dB) ● -20 -20.0869 -20.7524 -21.9490 -26.0638 -40.3743 -49.2686 -63.0967 -89.0945 -102.1120 -120.0441 Phase (degrees) -1.2032 -11.9941 -35.1168 -55.9925 -95.7106 -159.8293 -183.9452 -213.5788 -247.7467 -256.3985 -263.1435 If the chosen controller is a proportional one, with kp=20, estimate the following values: Steady state error to a unit step input Gain margin in dB Phase margin in degrees Crossover frequency in rad/s

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A hydraulic actuated motor has been subjected to a frequency-response test. The data
from the test are shown in the following table:
w [rad/s]
0.01
0.1
0.3
0.5
1
3
5
10
30
50
100
●
●
Magnitude (dB)
●
-20
-20.0869
-20.7524
-21.9490
-26.0638
-40.3743
-49.2686
-63.0967
-89.0945
-102.1120
-120.0441
If the chosen controller is a proportional one, with kp=20, estimate the following values:
Steady state error to a unit step input
Gain margin in dB
Phase margin in degrees
Crossover frequency in rad/s
Phase (degrees)
-1.2032
-11.9941
-35.1168
-55.9925
-95.7106
-159.8293
-183.9452
-213.5788
-247.7467
-256.3985
-263.1435
Transcribed Image Text:A hydraulic actuated motor has been subjected to a frequency-response test. The data from the test are shown in the following table: w [rad/s] 0.01 0.1 0.3 0.5 1 3 5 10 30 50 100 ● ● Magnitude (dB) ● -20 -20.0869 -20.7524 -21.9490 -26.0638 -40.3743 -49.2686 -63.0967 -89.0945 -102.1120 -120.0441 If the chosen controller is a proportional one, with kp=20, estimate the following values: Steady state error to a unit step input Gain margin in dB Phase margin in degrees Crossover frequency in rad/s Phase (degrees) -1.2032 -11.9941 -35.1168 -55.9925 -95.7106 -159.8293 -183.9452 -213.5788 -247.7467 -256.3985 -263.1435
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