2000 American Control Conference (ACC 2000), Illinois, United States Of America, 28 - 30 June 2000, pp.1139-1143
In this paper, the design problem of a sliding mode controller for multi-input systems with several delays is investigated. A new control law is proposed. The sufficient conditions for the existence of a sliding mode are derived. The results are given in terms oct matrix norm inequalities. We have developed some constructive delay-independent conditions for the asymptotic stability of multivariable system with multiple state delays based on Lyapunov-Krasovskii functional combined with linear matrix inequalities techniques. By these conditions we have successfully designed a new sliding mode control law for the stabilization of multi-input system with several delays. The sliding and stability conditions are less conservative than existing conditions.