Section 6 — Motion Control Tutorial
6 - 1 3
PI Loop
To eliminate the error at stop and during long constant velocity motions
(usually called
steady-state
error), an
integral
term can be added to the loop.
This term integrates (adds) the error during each every servo cycle and the
value, multiplied by the
K
i
gain factor, is added to the control signal (Figure
6.3-3).
Trajectory
Generator
Motion Controller
Servo Controller
Driver
Motor
Encoder
Kp
Ki
∫
e
e
Figure 6.3-3 — PI Loop
The result is that the integral term will increase until it drives the motor
by itself, reducing the following error to zero. At stop, this has the very
desirable effect of driving the positioning error to zero. During a long
constant-velocity motion it also brings the following error to zero, an
important feature for some applications.
Unfortunately, the integral term also has a negative side, a severe de-
stabilizing effect on the servo loop. In the real world, a simple
PI
loop is
usually undesirable.
PID Loop
The third term of the
PID
loop is the
derivative
term. It is defined as the
difference between the following error of the current servo cycle and of the
previous one. If the following error does not change, the
derivative
term is
zero. Figure
6.3-4 shows the PID servo loop diagram.
Trajectory
Generator
Motion Controller
Servo Controller
Driver
Motor
Encoder
Kp
Ki
∫
e
Kd
de
dt
e
Figure 6.3-4— PID Loop
The
derivative
term is added to the
proportional
and
integral
one. All three
process the following error in their own way and, added together, form the
control signal.
The
derivative
term adds a damping effect which prevents oscillations and
position overshoot.
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Содержание ESP6000
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