A class of hierarchical fuzzy systems with constraints on the fuzzy rules

Authors:
M. G. Joo;J. S. Lee
Affiliations:
Div. of Electron., Pukyong Nat. Univ., Busan, South Korea;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2005

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Abstract

This paper presents a class of hierarchical fuzzy systems where previous layer outputs are used not in IF-parts, but only in THEN-parts of the fuzzy rules of the current layer. The proposed scheme is shown to be a universal approximator to any real continuous function on a compact set if complete fuzzy sets are used in the IF-parts of the fuzzy rules with singleton fuzzifier and center average defuzzifier. From the example of ball-and-beam control system simulation, it is demonstrated that the proposed scheme approximates with high accuracy a model nonlinear controller with fewer fuzzy rules than a centralized fuzzy system, and its control performance is comparable to that of a nonlinear controller.