A class of hierarchical fuzzy systems with constraints on the fuzzy rules
SCIE
SCOPUS
- Title
- A class of hierarchical fuzzy systems with constraints on the fuzzy rules
- Authors
- Joo, MG; Lee, JS
- Date Issued
- 2005-04
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGI
- 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 defuzzilier. 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.
- Keywords
- fuzzy control; hierarchical fuzzy logic system; Stone-Weierstrass theorem; universal approximation; UNIVERSAL APPROXIMATION; CONTROLLER
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/24701
- DOI
- 10.1109/TFUZZ.2004.8
- ISSN
- 1063-6706
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON FUZZY SYSTEMS, vol. 13, no. 2, page. 194 - 203, 2005-04
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