Why the transfer function involving exponential term comes out in matrix form? Not in usual polynomial form, in particular Net variable in below code
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s=tf('s');
G=7.46*exp(-2.668*s)/( 1+2.562*s);
K=7.446;
T=2.5652;
L=2.668;
Lambda=0.089;
alpha=0.28;
C_=(1+T*s)*(1+alpha*T*s);
C_den=(1+Lambda*T*s)^2*1 ;
F=- (1+alpha*T*s)*exp(-L*s);
Net=C_/(C_den+F);
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/569339/image.jpeg)
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Abhinav Aravindan
il 21 Feb 2024
"Net" results in an irrational expression and is therefore converted to a state-space model. The above transfer function can be modelled using Pade approximation. A similar query to yours is answered in the link below.
You can find the documentation for Pade approximation and “tf” here.
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