Nonlinear model following control via Takagi-Sugeno fuzzy model

Presents a unified approach to nonlinear model following control that contains the regulation and servo control problems as special cases. A parallel distributed compensation (PDC) for fuzzy reference models is proposed. The PDC fuzzy controller mirrors the structures of Takagi-Sugeno fuzzy models that represent a nonlinear system and a nonlinear reference model. 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). Design examples are illustrated to show the utility of the nonlinear model following control.