Stochastic Fuzzy Control - Part II: Relationships Among a Priori Probabilities, Fuzzy Sets and Control Rules

摘要

The role of the a priori probabilities is unclear for a stochastic fuzzy control with a single vector data in the first report, because in such a case the number of Gaussian potential functions is equal to the number of control rules. In addition, as in a conventional fuzzy control based on fuzzy reasoning, it is necessary to clarify the relationships between the fuzzy sets and the control rules. We here consider a static multiple model adaptive control (MMAC) for the initial data disribution, in which it is assumed that a single vector data is partitioned into two subvector data and the hierarchical hyprotheses are also introduced with respect to each initial data distribution. Then, two kinds of stochastic fuzzy controls are proposed on the basis of such a static MMAC: one case assigns the a priori probabilities to the fuzzy sets for each subvector data, and the other case assigns the a priori probabilities to the control rules.