PI Controller Analytical solution

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Filippos Rokos
Filippos Rokos 2021-11-14
回答： Pratyush Roy 2021-11-17
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?

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回答（1 个）

Pratyush Roy
Pratyush Roy 2021-11-17
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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