- Use the “tf” function to define the transfer functions G1, G2, G3, G4, H1, H2, and H3.
- Use the “series” function to connect the blocks in series and the “feedback” function to connect the systems with a feedback connection, as shown in the code snippet below:
For the multi-loop feedback system, get closed loop transfer function and the corresponding pole-zero map of the system.
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i need help to solve this question completely . the complete question is in file attached . please anyone who can help me to solve it in matlab ???
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Neelanshu
2024-1-5
Hello osama,
I understand from your query that you need assistance with building the block diagram and obtaining the closed-loop transfer function of the multi-loop feedback system in MATLAB.
To achieve this, you can follow the steps mentioned below:
%% Define the transfer functions
G1 = tf([1],[1 10])
G2 = tf([1],[1 1])
G3 = tf([1 0 1],[1 4 4])
G4 = tf([1 1],[1 6])
H1 = tf([1 1],[1 6])
H2 = tf([2],[1 ])
H3 = tf([1],[1])
%% Connect the individual systems using feedback or series connection
sys1 = H2/G4;
sys2 = series(G3,G4);
sys3 = feedback(sys2,H1,+1);
sys4 = series(G2, sys3);
sys5 = feedback(sys4,sys1);
sys6 = series(G1,sys5);
sys = feedback(sys6,H3)
pzmap(sys)
Here is the obtained output:
Kindly refer the following documentations to learn more about “feedback” and “series” functions :
Hope this helps,
Regards,
Neelanshu
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