I want to find transfer function from given poles and zeros

Hello everyone

I want to find transfer function from given poles and zeros and then find the bode plot. How to write MATLAB code for it ?

Answer 1

[Star Strider]

One approach —

K = 1;                                              % Insert Correct Value
p1 = -3.02E4 + 2.52E4j;
p2 = conj(p1);
p3 = -1.16E5 + 1.13E6j;
p4 = conj(p3);
z1 = 2.35E5;
z2 = -3.33E5;

s = tf('s');
Gp = K*(s-z1)*(s-z2) / ((s+p1)*(s+p2)*(s+p3)*(s+p4))

Gp =
 
                 s^2 + 98000 s - 7.826e10
  ------------------------------------------------------
  s^4 - 292400 s^3 + 1.306e12 s^2 - 7.83e16 s + 1.996e21
 
Continuous-time transfer function.

figure
bodeplot(Gp)

figure
pzmap(Gp)

figure
stepplot(Gp)

The right-half-plane poles concern me. See the Step Response plot to understand the reason.

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[Sikandar Shah]

Thank you so much, it solved my problem.

[Star Strider]

As always, my pleasure!

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