Rejection of persistent bounded disturbance for a class of uncertain singular time-delay system

This paper considers the problem of persistent bounded disturbance rejection for a class of uncertain linear singular systems with a constant time-delay. Sufficient conditions guaranteeing the robustly internal stability and robust /spl rho/-performance of the closed-loop are derived by using Lyapunov-Krasovskii functional and generalized quadratic stability method. The disturbance rejection controller is also given through solving two strict linear matrix inequalities (LMI).