If the transfer function of a controller is given by
\[
G_c(s)=\frac{K_1s^2+K_2s+K_3}{s},
\]
then the proportional, integral, and derivative constants are:
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To easily identify the parameters: The constant term independent of \(s\) is always the proportional gain (\(K_p\)), the term divided by \(s\) is the integral gain (\(K_i\)), and the coefficient of \(s\) is the derivative gain (\(K_d\)).