[From Bruce Abbott (971208.2015 EST)]
The "behavioral illusion" occurs when a control system is successfully
controlling some variable, keeping it near the system's reference level by
producing output that opposes the effects of disturbances to the controlled
variable (CV). If control were perfect (assuming a constant reference and
that the CV has already been brought to equilibrium with the reference), the
effects of disturbance and output on the CV would be equal and opposite, so
that the two influences cancel exactly, leaving the CV unchanged at some
value close to that of the reference. Result: the effect of output on CV is
a mirror image of the effect of disturbance on CV.
Note that it is not the output of the control system that mirrors the effect
of the disturbance, but the effect of this output on the CV. If the
"environmental feedback function" that relates system output to effect on CV
changes, then output will have to change to bring the effect of output on CV
back to its previous level, so that it once again cancels the effect of the
disturbance. For example, if the effect of output on CV is cut to 1/3rd its
previous value, output must rise by a factor of 3 in order to restore the
same opposition to the disturbance.
As you examine the effect of disturbance on output (with a given feedback
function), you are not learning much of anything about the control system
itself, but you _are_ learning how you can control the output of the system,
so long as the system continues to control the CV in the same manner and
hold the same reference value. For example, so long as the person on the
other end of that rubber band continues to attempt to keep the knot over the
coin by the rules established, you can control where that person's end of
the rubber band will be. If one can also establish conditions such that the
person will want to continue controlling the knot's position at the coin
(perhaps by offering a large amount of money for doing so, if that will work
for this person), then one will be able to control the person's rubber band
pulling behavior rather accurately. For someone interested in learning how
to establish control over another's behavior, it might make little practical
difference that the observed variations in behavior reveal only the inverse
of the environmental feedback function.
Another case in which the behavioral illusion may be of value occurs when
the "environmental" feedback function consists of elements located within
the organism. If the effect of the output on the CV cannot be directly
observed from the outside, the form of the function could in principle be
deduced _if_ the reference level is held constant over the period of
observation _and_ the CV is being well controlled. Or so I surmise. Does
that sound reasonable? If so, then something of value about the organism
could be learned from the behavioral illusion after all, no?
Regards,
Bruce