Identifying type of feedback by looking at bode plot

Click For Summary
SUMMARY

The discussion focuses on identifying feedback types using the Bode plot of the return difference, represented by the transfer functions P(S) = 100/(s^2 + 2s + 1) and C(S) = 220(s + 50)/(s + 200). Positive feedback occurs at approximately w = 10^2, where both phase and magnitude increase, while negligible feedback is identified at w = 5, where the gain equals 1. The definitions clarify that negative feedback is characterized by a return difference magnitude greater than 0 dB, indicating a decrease in transfer function gain, whereas positive feedback is indicated by a magnitude less than 0 dB, leading to an increase in gain.

PREREQUISITES
  • Understanding of Bode plots and their interpretation
  • Familiarity with transfer functions and feedback systems
  • Knowledge of gain and phase margin concepts
  • Basic proficiency in control system analysis
NEXT STEPS
  • Study the characteristics of Bode plots in control systems
  • Learn about the Nyquist stability criterion
  • Explore the effects of feedback on system stability and performance
  • Investigate the design of compensators in feedback systems
USEFUL FOR

Control system engineers, electrical engineers, and students studying feedback mechanisms in dynamic systems will benefit from this discussion.

asd1249jf

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.

P(S) = \frac{100}{s^2+2s+1}

C(S) = \frac{220(s+50)}{s+200}

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?
 
Physics news on Phys.org
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).
 

Similar threads

Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K