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The bode diagram of a control system for K=1 is given below. What value must K take for the gain margin to be 20 dB?

The bode diagram of a control system for K=1 is given below. What value must K take for the gain margin to be 20 dB?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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7 Eylül 2021 17:10 The bode diagram of a control system for K=1 is given below. What value must K take for the gain margin to be 20 dB? a) 205.5 b) 20.55 c) 2.055 d) 0.2055
Transcribed Image Text:7 Eylül 2021 17:10 The bode diagram of a control system for K=1 is given below. What value must K take for the gain margin to be 20 dB? a) 205.5 b) 20.55 c) 2.055 d) 0.2055
Bode Diagram 50 System: sys Gain Margin (dB): 6.02 At frequency (rad/s): 1.41 Closed loop stable? Yes -50 -100 -90 System: sys Phase Margin (deg): 21.3 Delay Margin (sec): 0.35 At frequency (rad/s): 1.06 Closed loop stable? Yes -135 -180 -225 10 100 Frequency (rad/s) 10 10 Phase (deg) Magnitude (dB)
Transcribed Image Text:Bode Diagram 50 System: sys Gain Margin (dB): 6.02 At frequency (rad/s): 1.41 Closed loop stable? Yes -50 -100 -90 System: sys Phase Margin (deg): 21.3 Delay Margin (sec): 0.35 At frequency (rad/s): 1.06 Closed loop stable? Yes -135 -180 -225 10 100 Frequency (rad/s) 10 10 Phase (deg) Magnitude (dB)
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The bode diagram of a control system for K=1 is given below:

We need to find the value of K for the gain margin to be 20 dB.

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