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

Abstract

SummaryAdmissibility and robust controller design is considered here as uncertain 2‐D discrete singular systems with interval time‐varying delays and norm‐bounded parameter uncertainties. By employing an augmented Lyapunov‐Krasovskii's functional and then using a new version of Jensen inequality combined with an improved reciprocally convex approach, a new delay‐dependent admissibility condition is obtained, consequently the robust controller is designed in terms of linear matrix inequality. Numerical examples are proposed to demonstrate the efficiency of the proposed methods.