Adaptive time varying zero-order Sugeno system

Rich J Lukas (rlukas@execpc.com)
Wed, 22 Jul 1998 23:20:51 +0200 (MET DST)

I have a fuzzy logic system of form

if x1 is A11 and ... xm is A1m then y = f1(z)
if x1 is A21 and ... xm is A2m then y = f2(z)
..
if x1 is An1 and ... xm is Anm then y = fn(z)

Y = (W1*f1(z) + ... Wn*fn(z))/(W1+W2+...Wn)

where W1 = uA11*uA12... uAam. A is a fuzzy set and fi(z) is a function
of vector z.

I am not sure how to describe this system. Its not a first order Sugeno
system since the outputs fi(z) are not functions of the inputs. Its not
a zero order Sugeno system since the outputs are time varying, not fixed
constants.

I would like to find an adaptive method to optimize the memberships
functions. The methods I am familiar with; lookup tables and clustering
do not seem to apply to this problem. It there a general package, or a
standard method for a system of this type?

Thanks,
Rich Lukas

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