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In a similar manner, other filters can be programmed. The procedure is simplified by the following table, which
summarizes the relationship between the various filters.
Equivalent Filter Form - DMC-40x0
Digital
D(z) =[K(z-A/z) + Cz/(z-1)]∙(1-B)/(Z-B)
KP, KD, KI, PL K = (KP + KD)
A = KD/(KP+KD)
C = KI
B = PL
Digital
D(z) = [KP + KD(1-z-1) + KI/2(1-z-1)] ∙(1-PL)/(Z-PL)
Continuous
G(s) = (P + Ds + I/s)∙a/(s+a)
PID, T
P = KP
D = T * KD
I = KI / T
a = 1/T ln(1/PL)
Chapter 10 Theory of Operation ▫ 181
DMC-40x0 User Manual