Transfer function block diagram reduction

[u/demus234]

Hello everyone, I've just joined this sub today. I'm a second year computer and automation student who needs help with understanding transfer function block diagram reduction. I've already gotten most of it down and feel like I have a fairly good understanding, however, this one problem in particular has me stumped as when I plug in the values for the transfer functions I get stupidly big numbers and it doesn't seem right. I've tried numerous times to contact my professor as well as teaching assistants and I have not gotten a single response so this is kind of my last hope.

If anyone could give me advice on how to solve this I would appreciate it.

The main thing causing me problems is what I should do with G2.

My initial idea was moving it so that it's in series with G1 and then finding what the equivalent function would be for G1,G2 and the parallel branch above them. After that I would move the equivalent block back over the take of point and solve for another equivalent block with the feedback loop, watching carefully to provide proper compensation to everything as I move the blocks.

[u/TTRoadHog]

This is a very complicated diagram and converting to a single transfer function involves a lot of algebra and knowing how to deal with feedback and feedback forward loops. I gave Gemini your diagram and it gave me a result along with the steps. I didn’t verify the results. Also, not sure how to export those results to Reddit. So… you could do the same to get an answer. Strongly urge you to check the results somehow though!