Analysis and Design of Robust Fuzzy Controllers and Robust Fuzzy Observers of Nonlinear Systems

In this paper, the robust fuzzy control problem for uncertain continuous-time nonlinear systems is considered. The Takagi-Sugeno (T-S) fuzzy model with norm-bounded parameter uncertainties is adopted. The purpose is to design the controller and the observer independently to simplify the design process of fuzzy control systems. The concept of parallel distributed compensation (PDC) scheme is employed to design robust fuzzy controller and robust fuzzy observer from the T-S fuzzy models. New LMI-based sufficient conditions are obtained for stabilization of the robust fuzzy controller and the robust observer. The numerical simulation on an inverted pendulum system is given to demonstrate the effectiveness and the applicability of the proposed design approach by applying this to the problem of robust fuzzy control.