[From Dag Forssell (921017-1)]
It has been over a week now since Christine and I prepared and presented
the third day of our seminar. It, too went rather well. The engineers
continued to be attentive, an several "got it."
We learned a lot from this opportunity to present our programs and even
got paid a token amount. There is lots of room for improvement, and we
are working on it. At the moment, I am continuing work on presenting the
Behavior of Perception.
···
-------------------------------------
Also polishing details on demodisk programs. The documents that go with
Bill Powers' programs have been edited to reflect current address. I am
writing a description for the E Coli program and tumble, and am pulling
together the documentation for Rick Markens spreadsheet program, with
Rick's encouragement. I will make the demodisk available when I am done
with it.
-------------------------------------
Some of you will remember Toto Grandes del Mazo from a conference four
or more years ago. I met him in Jan of 1990 at a Deming seminar. He told
me he had been trying to tell Dr. Deming about Control Theory (in vain)
for a long time. He now lives in Los Angeles and consults somehow with
the people who put on the Deming seminars. He also "assists" at the
seminars, whatever that is. Last Monday, I met him again. He lectured a
month ago and again this month to a "Deming users group" in Los Angeles
on psychology. Before the lecture, they showed a video of last month's
lecture, which we were unable to attend. In the video, he stated that
Control Theory guides his thinking and specifically mentioned a William
T. Powers as the source. He is actually quite good, asking his audience
for their reference perceptions first, so he can address them, then at
the end showing that he followed the control model in doing so.
During break, we connected and I brought him personal greetings from
Bill. Later he introduced me to the audience as another teacher of
Control Theory. Now, they want to have me as a lecturer. I had actually
given up on marketing myself through that audience. It is funny how the
ball bounces.
--------------------------------------------
Gary has asked me to review the "starter document." To check it out, I
have learned more about Bill Silvert's listserver, and how to access the
files there. An updated document and some files will be mailed to Gary
and Bill by Monday.
-------------------------------------------
Rick's file on the spreadsheet (csg/marken/marken.doc on Bill's server)
has no pictures. Therefore, I have just drawn them in ASCII. Here they
are for any suggestions on improvements by Rick or anyone else.
________________________________________________________________
FIGURE 1: A BASIC CONTROL SYSTEM
r
>
______v_____
> >
o-->| comparator |---o
p | |____________| | e
_____|_____ _____v_____
> > > >
> sensor | | amplifier | System
_____________|___________|________|___________|_________________
^ |
> v Environment
d------> i <----------------- o
> = down ^ = up o--> = connection and
v arrow | arrow | side arrow
_________________________________________________________________
____________________________________________________________________________
FIGURE 2: A THREE LEVEL HIERARCHY OF CONTROL SYSTEMS
Only the left half of figure 2 shown here. The right half extends the picture
to the full four "stacks" of interconnected, interrelated control systems.
r r
> >
Level 3 ______v_____ _____v______
> > > >
o-->| comparator |---o o-->| comparator |---o
p | |____________| | e p | |____________| | e
_____|_____ _____v_____ _____|_____ _____v_____
> > > > > > > >
> sensor | | amplifier | | sensor | | amplifier |
>___________| |___________| |___________| |___________|
^ | ^ |
> > > >
o------------------- | --------------o------------------- | --------
> > > >
> o---------o-------------- | --------o----------o---------
> > r | | r
Level 2 | ______v_____ | _____v______
> > > > > >
o-->| comparator |---o o-->| comparator |---o
p | |____________| | e p | |____________| | e
_____|_____ _____v_____ _____|_____ _____v_____
> > > > > > > >
> sensor | | amplifier | | sensor | | amplifier |
>___________| |___________| |___________| |___________|
^ | ^ |
> > > >
o------------------- | --------------o------------------- | --------
> > > >
> o---------o-------------- | --------o----------o---------
> > r | | r
Level 1 | ______v_____ | _____v______
> > > > > >
o-->| comparator |---o o-->| comparator |---o
p | |____________| | e p | |____________| | e
_____|_____ _____v_____ _____|_____ _____v_____
> > > > > > > >
> sensor | | amplifier | | sensor | | amplifier |
___|___________|________|___________|___|___________|________|___________|___
^ | ^ |
> v | v
d------> i <----------------- o d--------> i <----------------- o d----
Legend: ^ |
> ---- | ---
o------o---> |
> > v
Connections, arrows Crossing paths,
up & sideways arrow down
_____________________________________________________________________________
_______________________________________________________________________
FIGURE 3. THE BASIC CONTROL SYSTEM AS IMPLEMENTED IN THE SPREADSHEET:
Cell Cell
Values Formulas
________
R(j,i) | 7 | +E4-D4
P(j,i) | 6,004 | @INDEX(PW,1,PW2)*P11+@INDEX(PW,2,PW21)*P12...
O(j,i) | 41.63 | +O21+SLOW*(GAIN*(R21-P21)-O21)
--------
________________________________________________________________________
_________________________________________________________________
FIGURE 4. PERCEPTUAL WEIGHTING MATRIX, PW:
PW Matrix
______________________________________
1| 1 1 1 1
2| 1 1 1 -1
3| 1 1 -1 1
4| 1 1 -1 -1
5| 1 -1 1 1
6| 1 -1 1 -1
7| 1 -1 -1 1
Row 8| 1 -1 -1 -1
Labels 9| -1 1 1 1
10| -1 1 1 -1
11| -1 1 -1 1
12| -1 1 -1 -1
13| -1 -1 1 1
14| -1 -1 1 -1
15| -1 -1 -1 1
16| -1 -1 -1 -1
____________________________________________________________________
_____________________________________________________________________________
FIGURE 5.
_____________________________________________________________________________
> A | B | C | D | E | F | G | H | I
_____________________________________________________________________________
1 System (i) 1 2 3 4 Average
________________________________________ error
2 | _______________________________
3 Delay Gain | R(3,i) | -1.00| 1.00| 1.00| 1.00|
4 Level 3 | P(3,i) | -1.00| 1.00| 1.00| 1.00| 0.000
5 1E-05 1000 | O(3,i) | -11.60| 38.58| 58.58| 74.21|
> >_______________________________|
6 | _______________________________
7 | R(2,i) | -11.60| 50.19| 20.00| 15.63|
8 Level 2 | P(2,i) | -11.80| 49.97| 20.17| 15.63| 0.140
9 0.0001 500 | O(2,i) | 21.86| 17.98| 0.53| 21.25|
> >_______________________________|
10 | _______________________________
11 | R(1,i) | 3.88| 19.12| 17.90| -16.80|
12 Level 1 | P(1,i) | 3.87| 19.10| 17.90| -16.80| 0.010
13 0.01 50 | O(1,i) | 53.87| -69.10| 67.89| -33.20|
> >_______________________________|
14 System |
________________________|_________________________________________________
15 Input Variable: | I 3.87 19.11 17.89 -16.80 0.050
16 |
17 Disturbance: | D -50.00 50.00 -50.00 50.00
________________________|_________________________________________________
Test
18 variable: 12.00 Weights -1.00 1.00 -1.00 1.00
19 Stability
20 Factor: 327.2 Behavior 19.49
_____________________________________________________________________________
Now, I just have to learn to run the program too, and all will be well.
Best to all, Dag