Fuzzy tracking control design using observer-based stabilizing compensator for nonlinear systems

This paper presents fuzzy tracking control design for nonlinear systems. The design methodology is a synthesis of the tracking control theory of linear multivariable control and the Takagi-Sugeno fuzzy model. The observer-based stabilizing compensator type from multivariable tracking control theory is used, because not all states of the nonlinear system are fully available or measured while Takagi-Sugeno (T-S) fuzzy model is used to represent the dynamic of nonlinear system. The concept of parallel distributed compensation is employed to design fuzzy tracker and fuzzy observer from the T-S fuzzy model. The stability analysis of the designed system is derived via the Lyapunov function. Numerical simulation and real-time experiment are provided to illustrate the tracking control design procedure and performance of the proposed methods for practical application.