Transfer function with time delay, transcendental transfer function
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Question: How to define the transfer function
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/146068/image.png)
in Matlab?
where
s: is the laplace variable
z: is a spatial variable (also a constant here)
k1,k2,w: are constants
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Answers (3)
MA
on 13 Nov 2014
clear all
close all
clc;
k1=1;k2=1;w=.5;z=2;
s=tf('s');
H = (-(((s^2)+(k1+k2)*s)/(w*(s+k2)))*z);
bode(H)
grid on
milad karimshoushtari
on 23 Jun 2015
I found a solution for a similar problem, you can not define this transfer function in matlab or simulink. use the time domain equation with derivatives that resulted to this transfer function, then use finite deference method to approximate the derivative of spatial variable then you can write a recursive code in matlab or in s-func simulink to solve it, it is not easy! search for finite deference method to solve spatial dependent differential equations then you will figure out the rest.
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