"Cybernetics or
Control and Communications in the Animal and the Machine," by
Norbert Weiner was first published in 1949. It is bit dated now, but
still worth reading. It provides an historical perspective on our
understanding of this subject. There are some speculations that have
not proven correct, but the basic mathematics and science is as valid
today as when it was written. One of the problems discussed in Weiner's
book comes from a military problem. After World War II the military was
trying to improve the targeting accuracy of its anti-aircraft weapons
with automation. The technology base of automation at that time was
very different than the digital computer of today. The first attempt,
which failed, was based on calculating the trajectories of a projectile
and the target to determine where they would intercept. Since the
physics and mathematics of doing this was an exact science, they
expected extreme accuracy via automation. They were wrong. To find out
why read Weiner's book. For my purpose we only need to know that
feedback was the central element of the solution. They fired a first
shot based on trajectory calculations, noted the miss distance and made
an adjustment. Since everything was moving very fast the adjustment had
to be fast, thus the need for automation. It worked.
Stated in today's terminology, what
Weiner recognized was that the problem of hitting a target is a goal
seeking behavior problem. He also showed why error correcting via
feedback is easier than trying to calculate the path from fundamental
principles. The problem is in error control. In a complex system
errors can grow and a very small error at the beginning can be amplified
so as to completely miss the goal. Rather than trying to improve the
accuracy at the beginning, it is often better to rely on feedback to
bring us to our goal.
In order for feedback to work your first
shot must be reasonably close. Feedback will close the gap much faster
if the first miss is at least in the right area. In some situations it
is possible for the targeting system to oscillate wildly with a first
bad shot. When we discuss evolutionary search we will also learn that
from where we begin the search matters. There is also a matter of
getting the right amount of delay in the feedback. Get it wrong and
feedback can cause wild variations without ever hitting the goal.
ç
Prior Page of Text
Next Page of Text
è
(C) 2005-2014 Wayne M. Angel.
All rights reserved. |