Block diagram simplication

  • Thread starter magnifik
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  • #1
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I am having trouble trying to obtain Y/R from the block diagram below:
xf56cz.png


the only thing i understand so far is that the bottom right loop is a feedback loop and can be simplified to 1/(s+a1). i know b1s can be obtained from the right loop, but i am having trouble getting to that point. i know it has to do with moving the summer
 

Answers and Replies

  • #2
I like Serena
Homework Helper
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Hi magnifik! :smile:

Trace the signals R and Y and construct an equation from them.

For instance, the left summation sums b3R and a3Y, which is then multiplied by 1/s.
This yields:
$$\frac 1 s (b_3 R + a_3 Y)$$

Can you complete the expression tracing it up to the right side, where it must be equal to Y?
 

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