Exponential stabilization for uncertain T-S fuzzy systems with time-delay and nonlinear perturbation

This exponential stabilization problem is addressed in this pap er for uncertain T-S fuzzy with time-delays an d nonlinear perturbations. Based on the Lyapunov-Krasovskii theory and by introducing free weighting matrices, we derive the robust exponential stabilization conditions in terms of linear matrix inequalities which can be solved by various available algorithms. Fuzzy controllers are designed which guarantee the close-loop systems are exponentially stable. And the corresponding exponential estimates are also given. A numerical example is given to illustrate the effectiveness of our theoretical result.