LMI approach to robust delay dependent/independent sliding mode control of uncertain time-delay systems

Based on linear matrix inequality (LMI) technique, a sliding mode control approach is presented for a class of uncertain time-delay systems in the delay-independent and delay-dependent case. The corresponding sufficient conditions for the existence of sliding mode are proposed. Different from the reported results, the conclusion presented in this paper is only relating to the original system parameters and owns simple and legible form. A numerical example illustrates the effectiveness of the presented method.