[From Bill Powers (2000.09.18.0130 MDT)]
Bruce Gregory (2000.0917.1336)--
Since no one bothers to do this test, I infer that very very
few even understand what control is. I'm uncomfortable with this conclusion,
but I can't see any way around it.
I'm uncomfortable, too. You should read that thing by Lewis:
http://www.theorem.net/lewis1.html
He says," Following Friedland [1986], we may call the period from 1868 to
the early 1900's the primitive period of automatic control. It is standard
to call the period from then until 1960 the classical period, and the
period from 1960 through present times the modern period."
While he discounts modern control theory as a model of organisms, he does
present it as a new era in control; in fact he says that it made space
flight possible, which I think is utter nonsense. Most control systems that
fly in space are classical control systems.
I think he is confusing mathematical analysis with physical design of
control systems. I don't find the mathematics of "classical" control theory
any more user-friendly than that of "modern" control theory, but that never
stopped me from designing successful control systems. The BIG difference
between classical and modern control theory is not in the mathematics, but
in the physical design, the "architecture." The classical control system is
the one we diagram in PCT. It can be designed mathematically for optimum
operation in certain restricted situations, but it can also be designed by
simulation with a bare minimum of mathematics or simply by cut and try. The
"modern" control system, physically, consists of a huge array of sensors, a
computer that can provide an exact model of the external world and do
extremely complex calculations about it, and a library of information about
physical processes. It is designed to compute the action necessary to bring
about a preselected result, and then execute it. It could _never_ be made
to work by cut-and-try. That is an enormous difference in physical design,
not to mention in the mathematics.
In fact the physical design of modern control theory is one that existed
_before_ classical control theory. It's simply the Sherrington model of the
brain, in which top-down commands are elaborated from level to level until
the final common pathway is reached. What modern control theory does is
show the actual implications of that model: they are horrendous, and should
suffice to show that Sherrington's model is completely impracticable.
If modern mathematical methods were applied to the input-comparator-output
model, I'm sure that many improvements in mathematical design could be
produced. The hierarchical model offers even more improvements which were
never to my knowlege tried during the "classical era." But the real
question is the basic architecture: is the modern approach really an
improvement, or is it simply a way of thought that has been given elaborate
development for no good reason? Is it, in fact, a way of holding on to
old-fashioned cause-effect thinking?
I am terribly handicapped here, and I'm sure you feel somewhat the same
way. My suspicion is that modern control theory was put together by people
who never did understand intuitively how the PCT-type model worked. I keep
running across statements to the effect that modern control theory can
accomplish everything that a classical control system can do, and more --
but examples are missing and what comparisons there are seem irrelevant.
And there are other tell-tale signs, such as the idea that modern control
systems are multiple-input-multiple-output (MIMO) systems, whereas
classical control systems are single-input-single-output (SISO) systems.
Who ever thought that a control system was an input-output system in the
first place? And who says a classical system can't be a MIMO system, or at
least control multiple variables? I keep running across little things like
that that make me really wonder how much these guys know about control.
Could I have invented a whole new way of thinking about control that
_neither_ the classical nor the modern control theorists have worked out?
It hardly seems likely, but I always felt that the classical texts were
missing the main point, too. The _engineers_, however, were probably a
different story.
But back to the handicap. For me the big problem is that all these
theoreticians, classical and modern, have been great mathematicians, and I
can't, or haven't the patience to, follow their mathematical arguments.
There's too much shorthand and convention; I can look right at an equation
and not recognize what it's saying. So who am I to say there's anything
wrong with the approach? My gut tells me that this whole field is one
gigantic systematic delusion, but if I stood up and said that in public I
would be unable to back it up with chapter and verse, because I can't talk
the language. I feel aphasic.
I guess someone else is going to have to resolve these issues, someone who
sympathesizes with my idea of control but has a far better mathematical
ability. It will be an uphill battle, of course: the proponents of modern
control theory treat it like the Second Coming, and there is a perfectly
enormous investment of man-hours and reputation in it.
The payoff will also be enormous if it should turn out that you are right
in saying "I infer that very very few even understand what control is."
from interchanges on CSGnet with certain inviduals I came to the same
conclusion, but it's such an unlikely conclusion that I haven't the courage
to proclaim it; I could so easily be flattened by a sophisticated
mathematical rebuttal.
Best,
Bill P.