H∞ robust control for uncertain discrete time-delay systems with nonlinear perturbation

Robust H_infin control for uncertain discrete time-delay systems with disturbances and nonlinear perturbations is studied. The delay is time varying. The uncertainties are norm bounded, and the nonlinear perturbations meet linear constraints. Based on Lyapunov-Krasovskii functional, two new delay-dependent results are presented in terms of matrix inequalities technique and nonlinear dealing method. In the end, two examples are given to illustrate that the presented method is effective.