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- Date: Sat, 22 Aug 1992 09:34:24 -0600
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- From: "William T. Powers" <POWERS_W%FLC@VAXF.COLORADO.EDU>
- Subject: Re: Politics and cars
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- Lines: 147
-
- [From Bill Powers (920822.0800)]
-
- Rick Marken (920821.2100) --
-
- "Republicans" is, of course, a category, as is "Democrats" and "Jews."
- According to TV reporters, many people who claim to be instances of
- the Republican category were angry at Pat Buchanan's speech and
- embarrassed at much of the rest of the proceedings. I expect there
- were some Democrats who were embarrassed at the proceedings at the
- other convention. As with most perceptions based on class membership
- and other superficial "population sampling" methods and labels, it's
- not likely that anything you say about either Democrats or Republicans
- is true of any individual Democrat or Republican you happen to meet,
- or any Jew, either.
-
- System concepts tend to be unarticulated and largely unaware. I
- suspect that everybody believes in "family values," even the Mafia.
- But it's hard to say what a family value is, and more to the point,
- what's good about it. What most people mean, I suspect, is "people
- like us." As Bush said, people are raised to believe as their parents
- believed, and as their parents before them. Apparently, to many
- people, being raised to believe in something is a better reason to
- believe it than reasons grounded in knowledge or understanding. The
- difficulty is that not everyone is raised to believe in the same
- things, so to argue for a belief on the grounds that one was raised
- that way is to admit equal justification for contrary beliefs held by
- people raised a different way. One would think that this principle
- would lead to great tolerance of others and the realization that a
- belief is, after all, only a belief, not knowledge. Apparently,
- however, it leads in the opposite direction. The assumption is often
- that the way I was raised is the right way, and everyone else is
- misguided, perverted, ignorant, or evil.
-
- This analysis cuts both ways in any politico-social confrontation. As
- long as people act out of ill-formed and self-contradictory system
- concepts, they will not understand what is good about some principles
- and bad about others, save for the way one happens, by accident of
- birth, to feel about them. People will simply be vehicles in which
- other people's ideas from long ago replay themselves like recordings
- -- and, of course, they are recordings, reference signals being, I
- think, derived in large part from remembered experiences. At the
- highest level there's not much room for other ways of picking them.
-
- Politics is fertile ground for a control theorist. What's needed is a
- study in depth of many individuals who call themselves by some party
- label. What are they controlling for? What principles do they uphold,
- and what methods do these principles justify? What kinds of errors do
- they perceive in various social situations, and how do they see their
- proposed actions as correcting those errors? What do they think of as
- the good life? As being a good person? How do they think people work,
- with respect to rewards and punishments, self-interest, social
- interest, and so on? Each person's structure of perceptions and goals
- at the higher levels explains how that person acts and what that
- person strives for. A study that investigates these structures in many
- individuals of different avowed political views could come up with
- many of the reasons for our social difficulties, in the form of
- contradictory goals, misperceptions, and methods of control that don't
- actually work. Once the real reasons for failure of our social systems
- were brought out, perhaps the way to a better solution to our problems
- would become more apparent. It isn't that social problems are so
- difficult. It's that our approach to them is confused and self-
- defeating.
- ----------------------------------------------------------------------
- Avery Andrews (920822) --
-
- Making a computer model of a car for use by proposed steering control
- systems shouldn't be too difficult. The steering wheel input to the
- car can be make fairly realistic. A torque applied to the steering
- wheel will cause the wheel to rotate until the restoring force equals
- the applied torque. The restoring force will be proportional to the
- centrifugal force, which is m*r^2/v, r being the radius of the turn
- (computed from the steering wheel angle) and v being the tangential
- velocity of the car. The radius of the turn is computed from the
- distance between front and rear wheels and the angle of the front
- wheels: where lines perpendicular to the rear and front wheels
- intersect is the momentary center of curvature. This ignores factors
- like tire slip and so on, but will be plenty close for the purpose.
- You could probably just say that the radius of curvature is inversely
- proportional to the steering wheel angle and be plenty close.
- Empirically adjusted constants will make the behavior of the car
- realistic enough.
-
- At a low level, the human control system can sense and control either
- the force applied to the steering wheel, or the steering wheel angle.
- Different control properties will result, and I'm sure do result in
- different drivers who solve the problem in different ways. Controlling
- applied torque will result in a wheel angle that depends on speed,
- whereas controlling wheel angle directly, rather than torque, will
- make the wheel angle independent of speed. I think the former will
- probably work better. A kinesthetic variable may prove important: the
- feeling of lateral acceleration that you get in a turn.
-
- The rate of drift of the car sideways is, as you say, obtainable from
- dp/dt. Unless you want to make a whole visual model, the easiest way
- to handle this is just to say that there's a perceptual signal equal
- to dp/dt and not worry about how it's derived.
-
- >Hence there is a three-level hierarchy of controlled perceptions:
- >relative position, rate-of-change of position, and rate-of-rotation
- of >the steering wheel.
-
- Sounds workable to me. The easiest way to get the reference rate of
- rotation of the steering wheel is to integrate the output of the rate-
- of-change-of-position system. In other words, make the steering wheel
- system control the angle of the wheel, which is easy, rather than the
- rate of change of angle. By integrating the output of the higher
- system, you'll get a reference signal that keeps changing as long as
- there's an error in rate of turning -- which is just what you want,
- because a fixed wheel angle corresponds to a particular rate of
- turning of the car. When the rate of turning error is zero, the
- integral of the output will be constant, holding the wheel at a
- constant angle.
-
- I think there's one missing step in here. If there's a position error
- (relationship level), the car has to be moved sideways by a fixed
- amount, ending up going in the same direction as before. To get there,
- its direction has to be changed. Any change in direction will cause
- sideward drift rate. So the next level down should control drift rate,
- not direction. The drift rate is varied by varying the car's angle, so
- car angle should be the next lower variable. And car angle is varied
- by varying rate of change of car angle, which is varied by controlling
- steering wheel angle. You'll end up with two derivative-perceiving
- systems, because position involves two time-integrals of steering
- wheel angle.
-
- Of course the system could be designed more compactly with derivative
- and integral calculations inside one system, but the point is to get
- an arrangement that works before finding one that works the right way.
-
- With regard to assessing curvatures of the road ahead, I finally
- figured out the simplest way to anticipate curves. It's to perceive
- the position of the car's hood relative to the road, but not the road
- right under the hood of the car. If you simply look at the road 30 or
- 40 feet ahead of the car, at a place in line with the body of the car,
- the curvature will be perceived automatically a little in advance of
- the time when the wheel has to begin turning. When you're going
- faster, you look farther ahead. From experience you learn how far
- ahead to set your perception point at various speeds. This eliminates
- the need for complicated perceptual calculations.
-
- Have fun.
- ----------------------------------------------------------------------
- --
- Best to all,
-
-
- Bill P.
-