Write a MATLAB proigram to find the overall transfer function if the system is c

Question

Write a MATLAB proigram to find the overall transfer function if the system is connect as follows. Make comments for each step.

G1 = tf([0 10],[1 1]);

G2 = tf([0 1],[0 1]);

G3 = tf([0 5],[1 6]);
G4 = tf([0 0 10],[1 2 0]);
G5 = tf([1 0],[0 1]);
G6 = tf([0 10],[0 1]);
G7 = tf([0 1],[1 4]);

%Appending of the system
Ta = append(G1,G2,G3,G4,G5,G6,G7);

%Q Matrix, shows the connections between the subsystems
Q = [1 -2 8 0
2 1 0 0
3 1 0 0
4 3 -5 0
5 4 0 0
6 4 0 0
7 8 0 0];

inputs = 7;
outputs = 5;

Tr = connect(Ta,Q,inputs,outputs);
T = tf(Tr)

I have no idea why I keep getting this error:

Some indices in row 1 of the Q matrix are out of range. In connect(BLKSYS,Q,...), the first column of Q must contain indices within the range of inputs of
BLKSYS and the remaining columns must contain indices within the range of outputs of BLKSYS.

Explanation / Answer

Open a new script file and then copy the below code

Code:

clc;
%Given G1 transfer function
G1 = tf([0 10],[1 1])
%Given G2 transfer function
G2 = tf([0 1],[0 1]);
%Given G3 transfer function
G3 = tf([0 5],[1 6]);
%Given G4 transfer function
G4 = tf([0 0 10],[1 2 0]);
%Given G5 transfer function
G5 = tf([1 0],[0 1]);
%Given G6 transfer function
G6 = tf([0 10],[0 1]);
%Given G7 transfer function
G7 = tf([0 1],[1 4]);
%Feedback of G1 and G2
H1 = feedback(G1,G2)
%Feedback of G4 and G5
H2 = feedback(G4,G5)
%Feedback of G1 and G2,Feedback of G4 and G5, G3 and G6 are in series. So,
%mulplify all the specified terms.
H3 = H1 * G3 * H2 * G6
%G7 and above term is in parallel. So, add the two terms.
Ts = G7 + H3

ouput:

G1 =

10
-----
s + 1

Continuous-time transfer function.

H1 =

10
------
s + 11

Continuous-time transfer function.

H2 =

10
----------
s^2 + 12 s

Continuous-time transfer function.

H3 =

5000
------------------------------
s^4 + 29 s^3 + 270 s^2 + 792 s

Continuous-time transfer function.

Ts =

s^4 + 29 s^3 + 270 s^2 + 5792 s + 20000
------------------------------------------
s^5 + 33 s^4 + 386 s^3 + 1872 s^2 + 3168 s

Continuous-time transfer function.

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