Observer-based robust stabilization of uncertain T-S fuzzy systems
基于观测器的不确定T-S模糊系统鲁棒镇定

This paper proposes new observer-based output robust stabilization conditions for Takagi-Sugeno(T-S) fuzzy control systems with parametric uncertainties. They are applied to design problems of fuzzy controllers and fuzzy observers. To design fuzzy controller and fuzzy observers, nonlinear systems are represented by T-S fuzzy models and the concept of parallel distributed compensation is employed. The sufficient condition is based on the quadratic Lyapunov function and is less conservative than some conditions published recently in the literature by describing the robust stabilization condition through a set of matrix inequalities. The sufficient condition is formulated in the format of bilinear matrix inequalities; one can obtain successively the controller gains and observer gains of T-S fuzzy control system with parametric uncertainties using two-step procedure. Finally, it is successfully demonstrated that the proposed approach is a more relaxed condition than others in the control of a continuous-time nonlinear uncertain system.