How to Simplify a Block Diagram to Obtain Y/R?

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 2K views
magnifik
Messages
350
Reaction score
0
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
 
Physics news on Phys.org
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?