PLOTTING STEP RESPONSE OF TRANSFER FUNCTION USING FOURIER TRANSFORM

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AAYUSH MARU 2020-4-5

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https://ww2.mathworks.cn/matlabcentral/answers/515538-plotting-step-response-of-transfer-function-using-fourier-transform

评论： Ameer Hamza 2020-4-5

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i am not getting the desired output from this code! can anyone help me with it??

the transfer function is in fourier domain!!

clc;
clear all;
syms t;
G = tf([1], [1 0.9 5]);
[num,den] = tfdata(G);
syms s
G_sym = poly2sym(cell2mat(num),s)/poly2sym(cell2mat(den),s)
G_sym=subs(G_sym,s,0.1*1i)
Y_four_sym = G_sym/s; % U(s) = 1/s for the unit step
y_time_sym(t) = ilaplace(Y_four_sym,t);
t=0:0.001:10;
plot(t,y_time_sym(t)

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Ameer Hamza 2020-4-5

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https://ww2.mathworks.cn/matlabcentral/answers/515538-plotting-step-response-of-transfer-function-using-fourier-transform#answer_424180

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There are some issues in your code, compare it with the following code

G = tf(1, [1 0.9 5]);
[num,den] = tfdata(G);
syms s t
G_sym = poly2sym(num{:},s)/poly2sym(den{:},s);
Y_four_sym = G_sym/s; % U(s) = 1/s for the unit step
y_time_sym(t) = ilaplace(Y_four_sym,t);
T=0:0.001:10;
plot(T,y_time_sym(T))

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AAYUSH MARU 2020-4-5

is there any other way to solve it?

Ameer Hamza 2020-4-5

By "solving" if you mean that finding the response of the system, then there are other methods. But if you specifically want to solve it with Fourier transform, then it probably not be possible in MATLAB.

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