[From Bill Powers (980916.0651 MDT)]
From Bruce Abbott (980915.1325 EST)]
Yes, and while you have delegated control to the trooper or the cruise
control, you are not controlling the controlled variable.
Nobody is disputing that, Bill.
I didn't see that Bruce Gregory's description violated the technical
definition of control. As you seem to think that it did, perhaps you should
point out where.
Bruce said:
You control the process of engagement but leave the
controlling of the speed to it. You monitor its performance from time to
time, but rely on it to do the controlling.
And I said, replying to both Bruces at once:
Yes, and while you have delegated control to the trooper or the cruise
control, you are not controlling the controlled variable.
With respect to my own statements, I took pains to clarify my position in
the post to which Bruce G. was replying. There, I agreed that control by
proxy done open loop does not meet the formal definition of control. In
control by proxy, the proxy does the controlling (literally, control _by_
proxy). By creating a properly functioning proxy control system, I (through
my proxy) cause a variable to be brought under control, and to the reference
level I choose, but I do not control the variable (the proxy does).
What other definition of control than the formal one are you proposing that
we allow into this discussion?
How do you (the DOT) know your "proxy" (the trooper) brings the variable to
the reference level you choose without your observing the variable and
comparing it with your reference level? In Bruce G's example, how do you
know that the cruise control is bringing the speed of the car to the
reference speed you have chosen, without your perceiving the speed and
comparing it with your reference level?
In the case of the cruise control, the answer is easy: you DO perceive the
speed, and when you havemade it match your reference level you press the
"Set" button to store the cruise control's speed perception as the cruise
control's reference level. You control the speed at first, while the cruise
control is not controlling it. Then you cease to control the speed, and the
cruise control takes over. Most people, I suspect, then check the
speedometer to see that the cruise control caught at the right speed.
In the case of the DOT controlling your speed, some person in the DOT
issues a directive to the state police defining the maximum speed. That is
an open-loop action, not a control process. The troopers "give 'em five,
let 'em take ten, and nail 'em on fifteen" (actual quote from a state
trooper to me). So the actual speed at which arrests take place is
different from the official speed limit. If the loop is ever closed, it
would be closed (perceptually) in the form of statistics about arrests and
the reported speeds of "traffic," not individual cars. Whoever is charged
with monitoring the effects of the arrest policies would compare those
statistics with target values, and convert any notable errors into new
directives, or recommendations to other people who can issue directives, to
the state police. By this means, people in the DOT can control the average
speed of traffic, although not very well and not at the speed they think
they've specified. They can't control the speed of an individual car at all.
The basic rule of control tbeory is that a control system controls what it
perceives and _nothing else._ It can affect, influence, alter, perturb, or
disturb other variables, but it can't control them unless it can perceive
them. If the driver of the car couldn't perceive the speedometer or some
other indication of the car's speed, he or she couldn't set the cruise
control's reference speed to any particular value, and know that that speed
was being maintained. Even if the driver could type a speed in on a
keyboard, the driver couldn't control the speed actually being maintained
by the cruise control. If the speed typed in was "65", the actual speed
might be 63 or 67, and the driver would never know of the error unless
there was a way to perceive the same variable that the cruise control is
perceiving.
If you're going to rely on your imagination rather than what people actually
say in their posts, then I must regretfully agree: there's not much point
in your continuing these discussions.
I'm not objecting to what I imagine they say, but to what they do say. You
said that traffic statistics and perceptions by the DOT had nothing to do
with the process you were describing, control by proxy as you came to call
it. You were wrong -- even control by proxy is impossible if you can't
perceive what the proxy is supposed to be controlling. The DOT, if it is a
control system, can control ONLY what it can perceive -- by proxy or by any
other means. There is no way to get around that.
Best,
Bill P.