Abstract
This paper presents an approach to fuzzy model following control. The proposed method is a unified approach that contains the regulation and servo control problems as special cases. A new parallel distributed compensation (PDC) to realize fuzzy model following control is presented. The new PDC fuzzy controller mirrors the structures of Takagi-Sugeno fuzzy models that represent a nonlinear system and a nonlinear reference model. First, we present a linearization technique as a basic result. Conditions to linearize the error system between the feedback system and the nonlinear reference model are obtained in terms of linear matrix inequalities (LMIs). It is remarked that the derived LMI conditions may be sometimes conservative. To overcome the difficulty, we present a relaxed approach that employs relaxed LMI conditions. Design examples are illustrated to show the utility of the fuzzy model following control, particularly, the relaxed approach.
