Fuzzy input-output controllers are universal approximators
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Special issue on fuzzy neural control
A course in fuzzy systems and control
A course in fuzzy systems and control
Universal approximation by hierarchical fuzzy systems
Fuzzy Sets and Systems
Function approximation with decomposed fuzzy systems
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
A note on universal approximation by hierarchical fuzzy systems
Information Sciences: an International Journal - Special issue analytical theory of fuzzy control with applications
Analysis and design of hierarchical fuzzy systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Fuzzy control of a swells canal system
Applied Soft Computing
IEEE Transactions on Fuzzy Systems
Intermediate variable normalization for gradient descent learning for hierarchical fuzzy system
IEEE Transactions on Fuzzy Systems
Advances in Fuzzy Systems
Complexity management methodology for fuzzy systems with feedback rule bases
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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This paper presents a special hierarchical fuzzy system where the outputs of the previous layer are not used in the IF-parts, but used only in the THEN-parts of the fuzzy rules of the current layer.The proposed scheme can be shown to be a universal approximator to any 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 simulation of ball and beam control system, it is demonstrated that the proposed scheme approximates with good accuracy the model nonlinear controller with fewer fuzzy rules than the centralized fuzzy system and its control performance is comparable to that of the nonlinear controller.