A Novel Three-dimensional Fuzzy Controller for the Distributed Parameter System

A three-dimensional fuzzy logic controller (3-D FLC) is presented for the control of distributed parameter system (DPS). Different to the traditional FLC, the 3-D FLC deals with three-dimensional fuzzy set (3-D fuzzy set), i.e. the traditional fuzzy set plus spatial dimension. The proposed FLC still consists of defuzzification, rule inference, and defuzzification. Different to the traditional FLC, the 3-D FLC can fuse information measured from space domain into a spatial membership function, and then rules will not increase as sensors increase for spatial measurement. Therefore, the 3-D FLC has the capability to handle spatial information. Application of the 3-D FLC is presented for a catalytic packed-bed reactor to show the effectiveness of the new fuzzy controller design, and comparisons with the traditional fuzzy controller are also given