Constructive sufficient conditions for fuzzy logic controllers to approximate C/sup 1/ functions

Chen Weifian · 2002

For a class of fuzzy logic controllers, constructive sufficient conditions under which they can approximate any C/sup 1/ functions to any required accuracy on a compact domain are established. Explicit formulas which can be used to calculate the number of fuzzy rules needed are derived simultaneously. For the case that the C/sup 1/ functions are polynomials, we also prove that our results are less conservative than the ones in Hao Ying (1994).

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