Write function for control system block

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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).
 
Sampled data ... I missed that.