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Homework Help: Block diagram simplication

  1. Jan 21, 2012 #1
    I am having trouble trying to obtain Y/R from the block diagram below:

    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
  2. jcsd
  3. Jan 22, 2012 #2

    I like Serena

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    Homework Helper

    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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