Piecewise fuzzy control for uncertain nonlinear system

Based on T-S fuzzy model, piecewise fuzzy Lyapunov function (PFLF) is adopted in the analysis of the stability of the a class of uncertainty nonlinear systems by defining the fuzzy Lyapunov function in each overlapping rules. The PFLF makes use of the premise of rules and the membership functions of the system. The sufficient condition is expressed with LMI on stability and performance of nonlinear system, and a way to design fuzzy robust controller based on state feedback is proposed. It can guarantee that the whole closed-loop system is asymptotically stability using the H_infin controller and the effect of the disturbance input on the controlled output was reduced to a prescribed level. A illustrative example is provided to demonstrate the effectiveness of the controller based on this approach proposed in this paper.