Section 3–3 / Mathematical Modeling of Electrical Systems 85
1 2 3 4 5 6 7
P
I
PD
PI
PID
Lead or lag
Lag–lead
Control
Action G(s)= Operational-Amplifier Circuits
Eo(s)
Ei(s)
R 4
R 3
R 2
R 1
1
R 1 C 2 s
R 4
R 3
R 4
R 3
R 2
R 1 (R^1 C^1 s+ 1)
R 4
R 3
R 2
R 1
R 2 C 2 s+ 1
R 2 C 2 s
R 4
R 3
R 2
R 1
(R 1 C 1 s+ 1) (R 2 C 2 s+ 1)
R 2 C 2 s
R 4
R 3
R 2
R 1
R 1 C 1 s+ 1
R 2 C 2 s+ 1
R 6
R 5
R 4
R 3
[(R 1 +R 3 )C 1 s+ 1] (R 2 C 2 s+ 1)
(R 1 C 1 s+ 1) [(R 2 +R 4 )C 2 s+ 1]
eo
eo
ei
ei
+
+
R 1
R 2
R 2
R 3
R 4
R (^1) R
3
C 2 R 4
eo
ei
- R 3
C 1 R 4
R 2
R 1
R 1
ei eo
+
- R 3
C 2 R 4
R 2
R 1
ei eo
+
- R 3
C 1 C 2 R 4
R 2
R 1
eo
ei +
- R 3
R 4
C 2
C 1
R 4
R 2
R 1
R 3
eo
ei +
- R 5
R 6
C 2
C 1