Robust stabilization of state delayed discrete-time Takagi–Sugeno fuzzy systems with input saturation via anti-windup fuzzy design

We consider the robust stabilization problem for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays subjected to the input saturation. We design static and dynamic anti-windup fuzzy controllers to ensure the convergence of all admissible initial states within the domain of attraction. Based on the project lemma and a classical sector condition, the conditions for the existence of solutions to this problem are obtained and expressed in terms of a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design approach.