Puzzling Theoretical Problem

Adrian David Cheok (eleadc@nus.edu.sg)
Wed, 24 Feb 1999 20:54:05 +0100 (MET)

Dear All,

After quite a few years of thinking about and working with fuzzy logic, and
even my PhD thesis being based on fuzzy modelling and estimation, I still
find myself churning over (and agonising over!) the same questions, and I
wish to ask the opinion of others out there in order to find or come closer
to the answer. Any pertinent references would also be appreciated.

My question is this:

"Under what instances can we say that fuzzy logic is the most advantageous
method for control or modelling of a system, and why is it advantageous. To
be more precise is there any situation now where control or modelling using
adaptive control, neural networks GA etc. could not be used but that fuzzy
logic can?"

That is my main question, but I also have sub-questions if anyone cares to
answer:

(i) "What exactly is the present limit of classical control and modelling of
non-linear systems? (it is often stated that classical control cannot be
used for non-linear and time-varying systems)"

(ii) "Is there any mathematical analytical statement that can determine the
robustness of a fuzzy system to noise as opposed to other models"

I thank you for your time and patience,
Adrian

+++++++++++++++++++++++++++++++++++++++++
Dr Adrian David Cheok
Department of Electrical Engineering
National University of Singapore
Singapore 119260
phone +658746850 fax +65 779 1103

+++++++++++++++++++++++++++++++++++++++++
Dr Adrian David Cheok
Department of Electrical Engineering
National University of Singapore
Singapore 119260
phone +658746850 fax +65 779 1103

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