how to write a complex transfer function

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how should i write followinG transfer function (tf) in the form of nuemrator and denominator in MATAB
-10.45 s^3 - 10.53 s^2 - 0.2246s
-----------------------------------------
s^2 + 1.2116 s - 0.1087 - 0.0909i
following is not working as it returns S^3 in the denominator, but i need s^2 in denominator :
numerator = [-10.45 -10.53 -.2246 0];
denominator = [0 1 1.2116 -.1087 -.0909j];
sys = tf(numerator,denominator);

Accepted Answer

Sam Chak
Sam Chak on 20 Feb 2024
Ensure no space in .
numerator = [-10.45 -10.53 -.2246 0];
denominator = [0 1 1.2116 -.1087-.0909j];
sys = tf(numerator, denominator)
Warning: The numerator or denominator of this transfer function has complex-valued coefficients.
sys = -10.45 s^3 - 10.53 s^2 - 0.2246 s --------------------------------- s^2 + 1.212 s - (0.1087+0.0909i) Continuous-time transfer function.
  2 Comments
Paul
Paul on 20 Feb 2024
Or use commas to separate the array elements, then no need to worry about spacing
numerator = [-10.45 , -10.53 , -.2246 0];
denominator = [0 , 1 , 1.2116 , -.1087 - .0909j];
sys = tf(numerator, denominator)
Warning: The numerator or denominator of this transfer function has complex-valued coefficients.
sys = -10.45 s^3 - 10.53 s^2 - 0.2246 s --------------------------------- s^2 + 1.212 s - (0.1087+0.0909i) Continuous-time transfer function.

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