What is the Well-Known Feedback Expression for Block Diagram Manipulation?

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SUMMARY

The discussion centers on the application of well-known feedback expressions in block diagram manipulation to find the poles of a closed-loop transfer function. The user seeks clarification on how to effectively reduce a block diagram, particularly regarding the treatment of summation points and feedback loops. It is established that the feedback loop should not be removed but rather combined with the forward block using established feedback expressions. This method simplifies the analysis and aids in determining system stability.

PREREQUISITES
  • Understanding of closed-loop transfer functions
  • Familiarity with block diagram reduction techniques
  • Knowledge of feedback control systems
  • Basic concepts of system stability analysis
NEXT STEPS
  • Research the application of well-known feedback expressions in control systems
  • Study block diagram reduction methods in detail
  • Learn about the implications of summation points in feedback loops
  • Explore techniques for analyzing poles and zeros in transfer functions
USEFUL FOR

Control engineers, students studying feedback control systems, and anyone involved in system dynamics and stability analysis will benefit from this discussion.

Hraabo
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Hello I hope someone can help me, as i am kinda stuck for the moment.
As you can see, the assignment states that I need to find the poles from the closed loop transfer function.

I plan on doing so, by using block diagram reduction method.

242346


This is as fare as I've come, and can't come further, even though I am pretty sure that it is possible. The summation point confuses me, how do I remove it? I could remove the feedback loop, but the summation point would still be there, or am I wrong?

Any help would be nice.
 
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You must not "remove" the feedback loop but instead combine it with the forward block (2s).
This part of the system is nothing else than a local feedback loop which can be replaced by one single block (using the well-known feedback expressions).
 
LvW said:
using the well-known feedback expressions
@Hraabo , there is your hint. What well-known feedback expression did he mean?
 

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