Finite-time stabilization of a class of uncertain nonlinear systems with time-delay

For a class of uncertain time-delay nonlinear systems represented by Takagi-Sugeno fuzzy models, the finite-time stabilization problem with exogenous disturbances is discussed. Based on the stochastic Lyapunov-Krasovskii functional approach, a new finite-time stabilization condition is established for such fuzzy systems. By applying linear matrix inequality technique, the finite-time state feedback controller is derived. A numerical example is used to illustrate the effectiveness of the design procedure.