help for transfer function and your analysis

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Camilo Mahnert Cataldo 2023-7-20

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https://ww2.mathworks.cn/matlabcentral/answers/1998748-help-for-transfer-function-and-your-analysis

评论： Aquatris 2023-7-22

hi everyone, i have this script.

% state matrix

A = [0 1 0; -2 -3 0; 0 0 -4];

B = [0; 1; 2]; % B1, B2 y B3 en columnas diferentes

C = [1 0 0]; %

D = [0 0 0]; %

[num, den] = ss2tf(A, B, C, D);

% Crear el objeto de función de transferencia

sys_tf = tf(num, den);

It turns out that I want to manipulate the first variable to reach a certain set point. But I am interested in analyzing the behavior of the third variable from the manipulation of the first variable. How can I do it?

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Aquatris 2023-7-22

You might wanna use some control terminology to describe your problem so that it is not ambigous. What do you mean by 'first variable'? I am gonna guess you meant 'state #1'.

Do you want to see the effects of 1st state on the 3rd state? If so do you want it in open loop or closed loop?

If open loop, from your A matrix, you can clearly see that your 3rd state is decoupled from the 1st and 2nd states. Hence, whatever 1st and 2nd state does has no effect on the 3rd state. Write down your xd = Ax and see that xd(3) is not effected by x(1).

if closed loop, since this is a simulation case, close the loop with a controller and add the 3rd state as an output by appropriatly manipulating your C matrix. From there you can get a bode diagram.

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