How can I make a step response graph for open Loop Ziegler-Nichols Method?

HI,

Greetings. I am very new in MATLAB. I want to draw a step response graph for Open Loop Ziegler-Nichols Method. the equation is attached here. Actually, I can't understand, how to code the numerator and denominator. Thanks in advance.

Answer 1

[David K.]

When trying to do transfer functions in matlab one very nice way to do it is with

s = tf('s');

Now, s indicates it is a transfer function you can actually just type the rest of your equations as you would want.

k = k; d = d; tau = tau;  % These are just saying that you should define these yourself

G = k*exp(-d*s)/(tau*s+1); % Create the transfer function

step(G); % Plot the transfer function

Answer 2

[Milon Chowdhury]

Dear David K.

Thanks for your reply. I have drawn a nice step response graph using your code. I am facing another problem. In Simulink code, how can I mention/put this equation?

[David K.]

Generally if you have a followup question you should put it in a comment on my answer, your question, an edit to your question, or a new question instead of an answer.

You can do it by putting a transfer function block with

num = [km]
den = [tau 1]

in series after a Transport Delay Block with the delay set to d. This is because an exponent in laplace domain results in a time delay of d seconds.