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4.7 PID control
21
Note
that
operating
the
FZW
in
environments
with
poor
ambient
temperature control may experience much more rapid drift, and the
benefit of data averaging is greatly reduced.
4.7
PID control
The
FZW
includes an
SMA
output that provides an analog voltage
V
(
t
) that can be used for locking a laser at an arbitrary wavelength
typically by feeding back to the piezo through the laser controller.
The
FZW
implements
a
standard
PID
algorithm
that
includes
pro-
portional, integral and differential control responses with adjustable
gains, as represented by the expression
V
(
t
) =
G
K
p
e
(
t
) +
K
i
Z
t
0
e
(
τ
)
dτ
+
K
d
de
(
t
)
dt
+
V
0
,
where
e
(
t
)
≡ f
(
t
)
− f
0
is the “error function”, the difference between
the measured laser frequency and the setpoint frequency (in MHz).
The
PID
constants
are
in
the
range
[
−
1
,
1]
and
G
represents
an
overall gain in MHz/V. These values can be set using the
PID,GAIN
command
as
shown
in
the
example
below,
or
using
the
software
interface (see
The range of the analog output is
±
2
.
5 V, with an offset voltage
V
0
that
may
be
useful
for
interacting
with
some
laser
controllers.
It
is recommended to ensure that appropriate minimum and maximum
output values be set in accordance with the device being controlled.
# define the desired lock point (in THz)
PID,SET,384.22924169
# set the gain to 100 MHz/V
PID,GAIN,100
# define the PID gains
PID,KP,1
PID,KI,0.1
PID,KD,0
# set the PID to average over 100ms
PID,AVERAGE,100
Summary of Contents for FZW600
Page 1: ...Fizeau Wavemeter FZW600 Version 0 1 2 Rev 2 hardware ...
Page 20: ...14 Chapter 3 User interface ...
Page 30: ...24 Chapter 4 Operation ...
Page 36: ...30 Appendix A Specifications ...
Page 44: ...38 Appendix C Command language ...
Page 49: ...E Dimensions 83 120 146 32 43 ...
Page 50: ...44 ...
Page 51: ......