Write function for control system block

AI Thread Summary
The discussion revolves around creating a function for a control system block, specifically focusing on simplifying the relationship between input and output. The user is attempting to express the system as y[nT]/x[nT]=1/(1-0.1w[nT]), with w[nT] defined as 2(4+D). Clarifications are made regarding the simplification process, emphasizing that the summing symbol should be eliminated when combining elements. Additionally, there is a reminder that "D" represents delay, not a constant, which is crucial for accurate modeling in sampled data systems. The conversation highlights the importance of correctly interpreting and simplifying control system components.
ongxom
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Homework Statement


Write function for control system block
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Homework Equations





The Attempt at a Solution


4 and D are parallel so we add them :
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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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