MATLAB: Dear sir, How to define a high order transfer function 1/(s(Ts+1)^2) in simulink 2018 version? Thanks.

MATLABtrnasfer function

I could not find a high order transfer function

Best Answer

Hi,

use the Transfer Function Block and define the transfer function like described in the documentation for the Simulink transfer function block.

For your case rewrite the function this way to use it in simulink:

1/(T^2*s^3 + 2*T*s^2 + s)

Best regards

Stephan

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Specify "[]" for "Zeros".

MATLAB: How do i implement (-sexp(-0.1s) + 1 – exp(-0.1s))/(s + exp(-0.1s) -1) as a transfer function in Simulink

This is an irrational transfer function. The best way to implement it would be to create a MATLAB function with 's', the complex frequency as input argument and output the numeric value of transfer function.

Something like the following would do:

function out = Gfcn(s)
  out = (-s*exp(-0.1*s) + 1 - exp(-0.1*s))/(s + exp(-0.1*s) - 1);
end

This function can then be called repeatedly for obtaining the required system characteristics.

Else you can create a transfer function by using pade approximation for transport delays. One simple way will be the following:

    s = tf('s');
    G = (-s*exp(-0.1*s) + 1 - exp(-0.1*s))/(s + exp(-0.1*s) - 1); % This creates a state space model for your system
    Ga = pade(G,2); % Make a rational system using pade approximation for transport delay
    [den, num] = ss2tf(Ga.a, Ga.b, Ga.c, Ga.d); % Obtain numerator and denominator of pade approximated system
    Gtf = tf(num, den) %Transfer function of system with time delays approximated using pade approximation

Best Answer

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MATLAB: Simulink, Zero-Pole block

MATLAB: How do i implement (-s*exp(-0.1s) + 1 – exp(-0.1s))/(s + exp(-0.1*s) -1) as a transfer function in Simulink

Related Question

MATLAB: How do i implement (-sexp(-0.1s) + 1 – exp(-0.1s))/(s + exp(-0.1s) -1) as a transfer function in Simulink