Creating a Closed loop transfer function of a model

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I am attempting to make a closed loop transfer function of the picture below (please dont make fun of my amazing microsoft paint skills). The code I have is posted below I am not sure what I am doing wrong exactly. I think I have both the forward and return sections correct, thank you for any help in advance!
G1 = tf([1 1],[1 3 14]);
G2 = tf([5],[1 7 2]);
h = 15;
loop1 = feedback(G1,h);
loop2 = feedback(G1*G2,1);
gcl = feedback(G1*G2,h)
gcl = 5 s + 5 ----------------------------------- s^4 + 10 s^3 + 37 s^2 + 179 s + 103 Continuous-time transfer function.

Accepted Answer

Paul
Paul on 20 Oct 2022
Edited: Paul on 20 Oct 2022
Hi Jacob,
Perhaps a clue is that the code doesn't use loop1 after it's computed. Once you have loop1, how does it relate to G2 and the outer feedback loop?
  2 Comments
Jacob Huhtala
Jacob Huhtala on 20 Oct 2022
So you think that the answer would just be the feedback loop of G1&h?
Jacob Huhtala
Jacob Huhtala on 20 Oct 2022
OHHH I understand now you are right, I can use loop1 to create a new feedback loop that involves G2! I get it, thank you so much!

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