[From Bill Powers (931220.0915 MST)]
I think I send the wrong file... trying again
Osmo Eerola (931220.0830 GMT) --
I would say that PCTers have developed a certain way to model
behavior, a way they argue is different than control theory
(CT) since in PCT perceptions - not outputs - are controlled.
No, there is no difference between PCT and CT. You can stop
saying we claim that there is a difference, because we do not and
never have claimed that. There is merely a difference in the way
of breaking the whole system down into components, and describing
the behavior of the system. The mathematics is exactly the same
(although we simplify it somewhat). Do you think a theory is
altered simply because of choosing one way to represent the
physical situation rather than another entirely equivalent way?
What does it mean to "control" a variable? Doesn't that mean to
act on the variable to bring it to a desired state, and more
generally to maintain it in that state in the presence of
arbitrary disturbances?
If (using your diagram) we compare the external variable, S, and
the perceptual variable, P, we can ask which variable can be said
to be under control under the widest variety of conditions. Under
disturbances of S, and under changes in the parameters of the
output function G(s), both are equally well controlled. But if
H(s), the perceptual input function, changes its characteristics,
the external variable S will no longer be maintained in the same
reference state. However, the perceptual signal P will still be
maintained in a match with the reference signal. So P remains
under control over a wider range of system perturbations than
does S.
Another consideration is that when we're modeling organisms, the
perceptual signal P is the only variable that the system can know
it is controlling. It has no internal representation of the state
of S other than the signal P. So from the viewpoint of the
controlling system itself, P is the only variable it CAN control.
The main problem seems to be that 'engineers do not understand
behavior' and PCTers do not always understand control theory.
Why do you say that PCTers do not always understand control
theory? Are we doing our simulations wrong? Are we solving the
system equations erroneously? I think you find our
representations strange because they aren't laid out like the
diagrams you are accustomed to and we don't use the same verbal
identifications of the variables. I think you're confusing form
with substance.
Basic control theory is most likely not adequate for the
analysis of behavior, but I still do not see what radically new
PCT brings to basic control theory.
Basic control theory does a better job of explaining behavior
than any theory before it has ever done, including common sense.
You don't know what you're talking about. And you keep insisting
that we say PCT brings something new to control theory. It
doesn't. It's exactly the same theory. We have never said that
PCT is an improvement on control theory. It is not. It IS control
theory.
In my opinion the 'control of perceptions' is not such a
thing.
Is that just off the top of your head, or do you have some reason
for making that statement?
I do not buy this simple assumption [about controlling an
external plant] as a common engineering view. Control engineers
should be aware of the concepts like system, environment,
process, controller etc.
You seem to differ from the ideas we hear from other control
engineers. Most of them seem to consider that the control system
is a signal-handling organization that controls some external
plant, some aspect of the environment like pressure, temperature,
acceleration, chemical concentration, and so forth. When you say
that the organism is the system (plant), you seem to be putting
the plant inside the organism instead of in its environment.
In modelling (individual) behavior the organism is the system
(plant) and it has a clear interface and interactions to its
environment.
In English terminology, the "plant" means something like a
factory or an apparatus for carrying out some chemical or other
process. Some engineers use "system" to mean the combination of
the controlling elements and the environmental variables involved
in the control loop.
In PCT we choose a different way of subdividing the same elements
(we don't use the term "plant"). The "control system" means just
the part of the organism lying between the sensory receptors and
the muscular effectors. ONLY the nervous system is considered to
be the control system; even non-neural aspects of the body are
considered to be in the environment of the control system.
The environment, then, is everything that is affected by the
motor outputs, and that is sensed by the sensory inputs (as well
as everything else outside the organism). That includes internal
aspects of the body which are also sensed and affected by the
nervous system. The environment is governed by the laws of the
physical and chemical sciences.
Many control engineers use this same way of organizing models of
control. The sensors, electronics, and effectors are considered
the controlling part of the whole system; everything outside the
sensor-effector boundary is considered the environment (the
plant), containing whatever is to be controlled.
I prefer this way of subdividing the whole system, because it
makes our analysis standardized and orderly, as well as clearly
identifying what the control model must account for and what is
already accounted for by the physical and biological sciences.
The mathematical treatments are, of course, unaffected -- that
is, control theory itself remains exactly the same.
In many cases the organism wants to bring the environment or
part of it to a certain state. (Other organisms are then part
of the environment.) The organism can also bring itself to a
certain state (satisfied).
Well, what do you mean by satisfied? We would mean that the
difference between reference signals and perceptual signals is
made as small as possible. So "satisfied" means the same thing
whether we are talking about external variables or variables
physically inside the organism (but outside its nervous system).
Perceptions are altered by actions (outputs) until they are in
the state that the organism wants -- until the organism is
satisfied with its perceptions.
Problems will arise when the system starts to model its own
behavior! Turing and Church have some ideas about how well a
system can model itself.
Yes, and we have paid close attention to that problem. The
organism can understand the world, including itself, only in
terms of its perceptual signals. It has no other access to the
outside world. To understand how to model an organism, we must
take the point of view of the organism, not of an external
observer. Are there aspects of ourselves that we can't model?
Probably so, because there are aspects of ourselves that we don't
perceive. But we can model at least those processes that we are
aware of. This proves to be quite practical, and enough to keep
us busy for several generations at least.
There is no other way for a (complex) control system to follow
the effects of the control than via its sensory inputs from the
controlled process or environment. Is not that trivial?! It can
be named as the 'control of perceptions' but there is nothing
new in it.
I'm glad that "control of perception" appears now to be a self-
evident, trivial idea. That's an improvement over your previous
statement that there is no such thing. If the idea is so obvious
to you now, you have grasped the basic principle behind PCT, and
are ready to begin considering its implications. All right ideas
seem obvious once you understand them.
What you have to realize that in psychology and most other life
sciences, it has long been believed that perception controls
behavior: that is, that the environment acts on the nervous
system to cause behavior. Today, in cognitive science, it is
believed that mental activities like plans cause behavior. The
"control of perception" idea is new in both of these areas; it
says that output actions are actively varied in order to bring
perceptions to internally specified states. As a control
engineer, you know that external disturbances are met by changes
in the physical output of a control system, so those physical
outputs can't be controlled: they must be free to vary. As one
who now understands what control of perception means, you will
also see that the output variations are what bring perceptions to
internally-specified states, and maintain them there. And you
will see that "plans" can't specify the physical outputs; all
they can do is call for certain perceptions to appear, with the
control processes providing the actions needed to make those
perceptions come to the required states, even in the presence of
unpredictable disturbances. A goal is a specification for a
perception, not for an action.
In control engineering, the idea of control of perceptions, once
pointed out, seems obvious and trivial. That is as it should be.
It is trivial for the engineer, because the engineer doesn't care
what an artificial control system experiences through its
perceptions. The whole point of artificial systems is to control
an external variable, one that matters in the outside world to
other people (like the customer for whom the control system is
being designed). The perceptual signal is just part of what is
needed to achieve this result.
But in the study of living control systems, control of perception
becomes a central idea. The natural organism does not have the
educated engineer's knowledge of external processes. All it can
know must exist in the form of perceptions. For a living control
system, its perceptions ARE its environment. The emphasis
completely changes. A living control system controls what it
knows of its environment, not the actual environment itself.
The final step in this initial insight is to realize that you are
an organism, too. All that you know of the world is carried into
your brain as perceptual signals; if it were not for those
signals, you would be unaware of any environment. Everything you
see, hear, feel, taste, and smell is a perceptual signal. That
whole world in which you live and on which you act consists
entirely of perceptions. As the slogan goes (it is much more than
a slogan), "It's _all_ perception."
When we model control behavior, we use physics to provide a model
of the environment that connects our actions back to our
perceptions. That physics model, of course, was built up from our
perceptions just as everything else we know was built up. It
represents our best guess as to what might lie outside our
brains. That best guess changes over the decades and centuries;
some day it will be quite different from what it is now. But by
using the physics model, we can complete a model of behavior and
make it internally consistent both with the facts of neurology
(another model) and the facts of physics. The basis of this whole
model is control theory: the mathematical way of dealing with
systems in which causation runs around a closed loop.
···
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Best,
Bill P.