Non-fragile H_∞ control for singular systems with state and input time-varying delays

In this paper, the non-fragile H_∞ control problem for uncertain singular systems with both state and input time-varying delays is studied. Based on Lyapunov-Krasovskii functional theory and the linear matrix inequality optimization technique, non-fragile H_∞ control is proposed not only to guarantee asymptotic stability in uncertain singular systems but also to reduce the effect of external disturbances to a desired level of H_∞ norm constraint. Finally, two illustrative examples are provided to demonstrate the effectiveness of the proposed results.