PI Controller Analytical solution

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Filippos Rokos
Filippos Rokos on 14 Nov 2021
Answered: Pratyush Roy on 17 Nov 2021
I have the transfer function: V(s)=e(s)*G*(1+K/s)
where e(s) = e0 + y(s) , G and K is a constant gains, e0 is a reference value and s is the laplace operator.
What is the appropriate analytical solution for the respose V(t) and the corresponding MATLAB implementation?

Answers (1)

Pratyush Roy
Pratyush Roy on 17 Nov 2021
Hi Filippos,
The function ilaplace can be used to obtain the analytical response for V(t). The following code snippet might be helpful:
syms G K e0 s V(s) y(s)
e(s) = e0 + y(s);
V(s) = G*e(s)*(1+K/s);
ilaplace(V(s))
Hope this helps!

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