Robust passive control of uncertain singular systems with time-varying delay

By using the Lyapunov-Krasovskii functional approach, the robust passive control problem for uncertain linear singular time-delay systems is investigated. Sufficient conditions are firstly given to ensure that linear singular systems are admissible (that is, regular, stable, impulse-free) and passive. Secondly, based on the linear matrix inequality method and cone complementarity linearization (CCL) technique, the robustly state-feedback controller is designed to guarantee that the resultant closed-loop singular systems are admissible and robustly passive with dissipation. Finally, two illustrative examples and their simulations are presented to show the effectiveness of the obtained results.