Robust Global Exponential Stabilization of Nonlinear Impulsive Fuzzy Systems via LMI Technique

This paper defines an impulsive fuzzy system by extending the ordinary T-S fuzzy model. The concept of parallel distributed compensation (PDC) is employed to design the state feedback controller. By Lyapunov method, the resulting closed-loop system is shown to be globally exponential stable. Sufficient conditions for global exponential stability of the closed-loop system are derived in terms of linear matrix inequalities (LMIs), which can be easily solved by LMI method. Simulation results illustrate the effectiveness of the proposed approach.