How does feedback affect the transfer function of an integrating block?

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SUMMARY

The discussion centers on the impact of feedback on the transfer function of an integrating block, specifically in the context of control systems. A correct block diagram depicting an integrating block with proportional feedback results in a lowpass response, aligning with the established formula. The incorrect interpretation involved a first-order block with proportional feedback, which cannot yield a second-order function. Participants emphasized the importance of accurately constructing the block diagram based on the problem's data.

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  • Knowledge of transfer functions and their characteristics
  • Experience with feedback mechanisms in systems
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  • Learn about the characteristics of integrating blocks in control theory
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Setareh7796
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Homework Statement
Finding the transfer function
Relevant Equations
I have written my solution in the pic attached.
The correct solution is different than my answer, I am not sure where I am going wrong?
20200522_101516.jpg
 
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Your answer is correct considering the block diagram you have drawn.
Did you construct the block diagram on your own using the data in the problem or was the block diagram already given in the problem?

If you developed it on your own, you need to post the exact question here to verify if your block diagram itself is correctly drawn as per the given data.
 
Last edited:
Yes - correct answer. The block diagram shows an integrating block with feedback (proportional).
This gives a lowpass response - which is in agreement with your formula (in blue).
The red one is wrong - a first oder block with P-feedback cannot give a 2nd-order functioin.
 

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