Closed Loop Analysis

In article <199504302215.SAA62103@atlanta.american.edu>, Bruce Abbott
<abbott@CV
AX.IPFW.INDIANA.EDU> writes:

[From Bruce Abbott (950430.1715 EST)]

Bill Powers (950427.1038 MDT) --
_The whole control loop is active at the same time._ The transport lags
we know are there do not turn this into a sequence of processes -- they
just change the time stamp (slightly) on the information that each
process is currently receiving.

I believe I follow you. In an ideal control system (one with infinite gain
and zero lag), a step disturbance would instantaneously induce a step action
on the part of the control system exactly equal in size to the disturbance
but of opposite sign.

.

Excellent insight! I have a new neuroprocessing model that may interest you.
I can send it email. It is 78k long. Enclosed is an abstract. Ron Blue
x011@lehigh.edu
Abstract:

The correlational opponent-processing theory is a neuro homeostasis
integration psychological immune theory that would connect phenomena
such as sensation, perception, movement, habituation, memory,
representations, learning, cognition, personality, psychopathology,
paradoxical integration, emotion, and evolution of the mind under a
unified theory.

Perception/learning/cognition may be viewed as an effort to assimilate
and accommodate all experience into neuro-energy-efficient
eigenfunctional equivalence or quasi-holographic correlational
opponent-processing recordings.

Stimuli causes brain wave modulations which interact with carrier or
reference wavelets. This interaction creates a quasi-holographic
stimulus wavelet. The opponent-process creates an opposing quasi-
holographic memory wavelet. Through this process the correlations or
associations of experience are encoded to memory. Every wavelet,
regardless of source or type, triggers an opposing wavelet. The
function of the opposing wavelet or feedback is to diminish the
intensity of neural processing. A wavelet potential is stored or hard
wired as long-term potentiation opponent-processes in nerve cells and
the interconnections between nerve cells. The wavelets are quasi-
holographic and allow recovery of information due to the interaction of
reference carrier wavelets and stimuli, thought, motor movement, and
emotional arousal.

Outline:
       Discussion
       Neuro Net
       Quasi-holographic wavelets
       Habituation/immunization
       Memory
       Representations, copies or models
       Learning/Cognition
       Personality
       Sensations and Perceptions
       Movement
       Emotion
       Evolution
       Tools
       Implications
       Conclusion and applications from COP theory
            Discorrelation
            Education
            Biophysical
            Intelligence
            Defense Mechanisms
            Brain damage
            Creativity
            Brain Tape
            Computer Model
            Conclusion
       Bibliography
       Acknowledgments

ยทยทยท

There would be no change in either the perceptual
signal or the error signal. With a continuously varying disturbance, the
signal variance injected by the disturbance would appear instantaneously as
signal variance in the output -- and nowhere else.

In a system with finite gain and zero lag, a disturbance would induce an
instantaneous and simultaneous change in perceptual signal, error signal,
and output signal. The changes would be exactly those necessary to
establish an equilibrium involving just the right level of error to nearly
counter the disturbance so that the perceptual signal would change just
enough to produce the right error signal.

In a system with finite gain, finite lag, and having variables subject to
finite rates of change, the disturbance changes propagate around the loop at
finite speed. The transformations get complex as the uncancelled remnants
of the disturbance signal recirculate like reflected and re-reflected waves,
producing a complex pattern of interference with their own "reflections" and
the current disturbance signal. However, these circulating "remnants"
appear at any point in the loop merely as indistinguishable components of
the current value of each variable; from the point of view of the control
system, there are only current values, which result from current values and
in turn produce current values, both of themselves and of other variables
(as each function currently "sees" them).

Have I got it right?

Regards,

Bruce