Mike Zylla asked . 2022-08-01

How to make bode plot of transfer function?

Hello, i am trying to make a bode plot of the transfer function of a twin-t notch filter, that i am analyzing. I was able to produce the transfer function, and the bode plot by hand, but i am struggling to do it in Matlab, here is what i have so far:

     r=320; %Resistance
c=100*10^-9; %Capactiance
p=(1/(r.*c)); %Beta
a=0.95; %Signma, adjusts the wiper of a potentiometer
f=(5000); %Target Frequency
s= (1i*f);
h=((s^2 + p^2) ./ (s^2+4*p*s*(1-a)+p^2)); %Transfer function
mh=abs(h); %Magitude of h
ah=angle(h); %Phase angle of h, in rads.

I am trying to plot the body function, and here is one i made for the transfer function H=2/(s+1):

 

% Example Transfer Function: g(s) = 2/(s+1)
% Numerator num = [2]; % Denominator den = [1 1];
% Transfer Function G = tf(num, den)
% Plot Frequency Response bode(G), grid
 
My question is, how would i represent the numerator and the denominator, since they are both powers of of s, which from my understanding the computer understands as s=jw, and thus i solved the transfer function as such. I have tried to understand how exactly the bode function takes it inputs, but i am not understanding that...

bode function , transfer function , Control Systems , Control System Toolbox

Expert Answer

Prashant Kumar answered . 2024-12-21 16:36:21

Your transfer function would use:

 

num = [1  0  p^2];
den = [1  4*p*(1-a)  p^2];

I’m certain you can take it from there.


Also, remember that the bode function can output the results of its computations, and the bodeplot function allows you to tweak its behaviour.


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