How Do Block Diagram Simplifications Reflect Underlying Equations?

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Homework Help Overview

The discussion revolves around understanding the simplification of block diagrams in control systems, specifically how these simplifications relate to underlying equations. Participants are examining the transformations between different representations of system dynamics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the reasoning behind the movement of terms in the block diagrams and questioning the origin of specific blocks. There is an inquiry into the implications of the signal flow through the summing junction and the nature of the relationships depicted in the diagrams.

Discussion Status

Some participants have offered insights into the relationships represented in the diagrams, while others are seeking clarification on specific aspects of the transformations. The discussion is ongoing, with multiple interpretations being explored regarding the signal flow and the role of various components in the diagrams.

Contextual Notes

There is a mention of the lack of a "first pass" in the loop, indicating a focus on the relationships rather than a sequential process. This suggests that participants are grappling with the conceptual framework rather than a step-by-step procedural approach.

princejan7
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Homework Statement


I am trying to understand the simplification between these two block diagrams

Homework Equations

The Attempt at a Solution


I understand the 2s+1/s has been moved past the summing junction, resulting in the 2s.
But I don't understand where the s/2s+1 block comes from
 

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Central loop (third line from top) has to yield ... - 2s C(s) so for that one the the factor 2(s+1)/s has to be 'undone'.

Check what arrives from C(s) over the third line from the top by the time it's back at the right via the second line from the top.
 
BvU said:
Central loop (third line from top) has to yield ... - 2s C(s) so for that one the the factor 2(s+1)/s has to be 'undone'.

Check what arrives from C(s) over the third line from the top by the time it's back at the right via the second line from the top.

thanks. Also, for the first diagram,on the very first run of the loop, is the signal exiting the (2s+1)/s block the same after it passes through the summing junction?
 
There is no first pass of the loop: it's just a diagram for the relationships.
A graphical rendering of a set of equations.
 

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