Criteria for fuzzy robust stability of uncertain systems with time delay

This paper investigates the robust stability and H_∞ stabilization problem of a class of uncertain time-delay systems. A class of parametric uncertainties nonlinear time-delay systems are modeled by Takagi-Sugeno (T-S) fuzzy model, and sufficient conditions of delay-dependent robust asymptotic stability are derived in terms of linear matrix inequality (LMI). Furthermore, the robust stabilization conditions via state-feedback are presented, which satisfy the H_∞ performance index prescribed. Numerical examples are given to demonstrate the effectiveness of the methods proposed.