Write function for control system block

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Discussion Overview

The discussion revolves around the formulation of a function for a control system block, specifically focusing on the simplification of components within a control system diagram. Participants are addressing the representation of elements and their interactions in the context of control theory.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests grouping elements into a function called w[nT] and proposes a relationship y[nT]/x[nT]=1/(1-0.1w[nT]), questioning the correctness of their reduction w[nT]=2(4+D).
  • Another participant points out that in simplifying the diagram, a summing symbol should have been removed along with the replacement of three symbols by one, suggesting that the block D+4 followed by a 2 should be simplified to 2(D+4).
  • A different participant raises a concern that "D" likely represents a delay rather than a constant, emphasizing the importance of including the delay in the analysis.
  • One participant acknowledges a misunderstanding regarding the context of sampled data.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the components in the control system, particularly regarding the role of "D" and the simplification process. The discussion remains unresolved with multiple competing perspectives on how to approach the problem.

Contextual Notes

There are limitations in the assumptions made about the components, particularly regarding the definition and role of "D" as well as the simplification steps that may depend on specific interpretations of the control system diagram.

ongxom
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Homework Statement


Write function for control system block
5GTziPH.png


Homework Equations





The Attempt at a Solution


4 and D are parallel so we add them :
UY9rtA2.png

I am stucking in the simplication of this block
ACR7Rxd.png

Should I group these elements to a function called w[nT], so
y[nT]/x[nT]=1/(1-0.1w[nT])

and by my reduction w[nT]=2(4+D), is it correct ?
 
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In going from the diagram in (1) to that in (3) you replaced the 3 symbols by 1, so that summing symbol should have disappeared, too. Then simplify a block D+4 followed by a 2 into one of 2(D+4).
 
Doesn't "D" stand for delay? So put in the delay. D is not some constant. Unless I miss my guess.
 
Sampled data ... I missed that.
 

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