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A minimum phase unity feedback system has a bode plot with a constant slope of -20dB/decade for all frequencies. What is the value of the maximum phase margins of the system?
- a)0°
- b)90°
- c)-90°
- d)180°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A minimum phase unity feedback system has a bode plot with a constant ...
Answer: b
Explanation: For given Bode plot, G(s) H(s) =K/jw
As H(s) =1
PM (maximum) =90°.
Explanation: For given Bode plot, G(s) H(s) =K/jw
As H(s) =1
PM (maximum) =90°.
Most Upvoted Answer
A minimum phase unity feedback system has a bode plot with a constant ...
The maximum phase margin of a system can be determined by the frequency at which the phase angle is -180 degrees.
In this case, since the slope of the bode plot is -20 dB/decade for all frequencies, the phase angle will be -180 degrees at the frequency where the gain is -20 dB.
Since the slope of the bode plot is constant, the gain will decrease by 20 dB for every decade increase in frequency. Therefore, the gain will be -20 dB at a frequency of 1 decade (10 times) higher than the frequency at which the gain is 0 dB.
Since the gain is 0 dB at the frequency where the phase angle is -180 degrees, the gain will be -20 dB at a frequency that is 1 decade higher. Therefore, the maximum phase margin of the system is 0 degrees.
In this case, since the slope of the bode plot is -20 dB/decade for all frequencies, the phase angle will be -180 degrees at the frequency where the gain is -20 dB.
Since the slope of the bode plot is constant, the gain will decrease by 20 dB for every decade increase in frequency. Therefore, the gain will be -20 dB at a frequency of 1 decade (10 times) higher than the frequency at which the gain is 0 dB.
Since the gain is 0 dB at the frequency where the phase angle is -180 degrees, the gain will be -20 dB at a frequency that is 1 decade higher. Therefore, the maximum phase margin of the system is 0 degrees.
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