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A serious problem limiting the applicability of standard fuzzy controllers is the rule-explosion problem; that is, the number of rules increases exponentially with the number of input variables to the fuzzy controller. A way to deal with this curse of dimensionality is to use the hierarchical fuzzy systems. A hierarchical fuzzy system consists of a number of hierarchically connected low-dimensional...
In this paper, we propose a general framework to combine mathematical model and heuristics into nonlinear adaptive controller design, where the heuristics are in the form of fuzzy IF-THEN rules. We consider the case where the following three pieces of information are available: (1) an approximate model of the nonlinear system under control, (2) a collection of fuzzy IF-THEN rules describing the error...
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