Identifying type of feedback by looking at bode plot

In summary, the bode plot shows the frequencies where the feedback is large, negative, positive, and negligible in a feedback system. The region of positive feedback occurs where the magnitude of return difference is less than 0 dB, while the region of negative feedback occurs where the magnitude of return difference is greater than 0 dB. The frequency for negligible feedback can be identified as where the magnitude of return difference is 1, which in this case is approximately w = 5.
  • #1
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Homework Statement


Below is the bode plot of return difference, 1+C(S)P(S) in a feedback system. Identify the frequencies where the feedback is large, negative, positive and negligible.

[tex]P(S) = \frac{100}{s^2+2s+1}[/tex]

[tex]C(S) = \frac{220(s+50)}{s+200}[/tex]

image.png


Homework Equations



Bode Plot, Feedback

The Attempt at a Solution



Is there a way of identifying the frequencies where the feedback is large, negative, positive and negligible just by looking at the bode plot?

So the positive feedback would be where we start gaining phase & magnitude, so it'd be approximately w = 10^2.

Negligible gives you a gain of 1, so the frequency would be w = 5. Is my reasoning right?

Also what characterizes a negative and large feedback?
 
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  • #2
For answering the question you should know the definitions for negative and positive feedback:
* Region of negative feedback: Magnitude of return difference >0 dB (Transfer function gain decreases due to feedback)
* Region of positive feedback: Magnitude of return difference < 0 dB (Transfer function gain increases due to feedback).
 

1. What is a bode plot?

A bode plot is a graphical representation of a system's frequency response. It shows the magnitude and phase of the system's output as a function of frequency.

2. How can I identify the type of feedback by looking at a bode plot?

The type of feedback can be identified by looking at the slope of the bode plot at the crossover frequency. If the slope is positive, it indicates positive feedback, while a negative slope indicates negative feedback. Additionally, the presence of a phase lag or lead can also indicate the type of feedback.

3. What is the significance of the crossover frequency in a bode plot?

The crossover frequency is the frequency at which the magnitude and phase of the system's response change. It is an important point on the bode plot as it indicates the frequency at which the system transitions from one type of behavior to another.

4. Can a bode plot be used to analyze any type of system?

Yes, a bode plot can be used to analyze any system with a linear frequency response. This includes electronic circuits, control systems, and filters.

5. Is it necessary to have a bode plot to identify the type of feedback?

No, it is not necessary to have a bode plot to identify the type of feedback. Other methods, such as signal flow diagrams or block diagrams, can also be used to analyze the feedback in a system.

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