Transfer function, G

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Joaquim Lima
Joaquim Lima on 20 Nov 2020
Commented: Ameer Hamza on 20 Nov 2020
I'm doing this transfer function routine but I can't get G, what's wrong?
% servo motor data
% Ra, armor resistance [Ohms]
Ra = 0.34;
% La, armature inductance [H]
La = 0.007;
% Ia, current in the armature [A]
Ia = 8;
% J, motor and load moment of inertia, referring to the motor axis [kg m2]
J = 63.9 * 10 ^ -4;
% C, viscous damping coefficient of the motor and load, referring to the motor shaft [Nms / rad]
C = 18400;
% T, torque developed by the motor [Nm]
T = 1.59;
% kb, generator constant
% [V.s / rad]
kb = 314;
% k, motor constant [Nm / A]
k = 0.19785;
% transfer function calculation:
% motor gain value, km:
Km = k / Ra * C + k * kb
% value of the motor time constant, Tm:
Tm = (Ra * J / (Ra * C + k * kb))
% Transfer function, G (x)
G = Km / (s * (Tm * s +1))
I get this message:
Undefined function or variable 's'.
Error in Untitled2 (line 25)
G = Km / (s * (Tm * s +1))

Accepted Answer

Ameer Hamza
Ameer Hamza on 20 Nov 2020
's' is not defined by default in MATLAB. You need Control system toolbox to create a transfer function. Change the last part of your code to
% Transfer function, G (x)
s = tf('s');
G = Km / (s * (Tm * s +1))
  4 Comments
Joaquim Lima
Joaquim Lima on 20 Nov 2020
Please qaul the function to generate the graph?
Ameer Hamza
Ameer Hamza on 20 Nov 2020
What type of graph? See bode() function for bode plot of transfer function.

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