Further results on control of singularly perturbed time-delayed systems with nonlinear uncertainties

This paper deals with the problem of robust control design for singularly perturbed systems with time delays and norm-bounded nonlinear uncertainties. The model under investigation considers discrete delays in both slow and fast dynamics. Based on a Lyapunov-Krasovskii functional, some sufficient conditions are developed in terms of linear matrix inequalities (LMIs). It is shown that the control gains are obtained to guarantee the stability of the closed-loop system for all perturbed parameters. An illustrative example is provided to demonstrate the applicability of the proposed design approach.