Universal trajectory tracking control using fuzzy descriptor systems

Abstract

This paper presents universal trajectory tracking control for fuzzy descriptor systems. A new parallel distributed compensation, the twin parallel distributed compensations (TPDC), to realize the trajectory tracking control is proposed. The TPDC fuzzy controller mirrors the structures of the fuzzy descriptor systems that represent a nonlinear system and a nonlinear reference model. We present a design technique based on the TPDC. All the design conditions are represented in terms of LMI. The proposed method is a unified approach to trajectory tracking control. It contains the regulation and servo control problems as special cases. Finally, design examples are illustrated to show the utility of the trajectory tracking control.