Admissibility and robust H∞ controller design for uncertain 2D singular continuous systems with interval time-varying delays

Admissibility and robust $ H_{\infty } $ H∞ controller design are considered here for uncertain 2-D continuous singular systems with interval time-varying delays and norm-bounded parameter uncertainties. A new delay-dependent admissibility condition is obtained by using an augmented Lyapunov–Krasovskii's functional and then using the Wirtinger inequality combined with an improved reciprocally convex approach. Then, a robust controller is designed in terms of a linear matrix inequality. Numerical examples are proposed to demonstrate the efficiency of the proposed methods.