Robust ${L_{2}} - {L_{\infty}}$ Filter Design for Uncertain 2-D Continuous Nonlinear Delayed Systems With Saturation

This paper discusses the L₂ - L_∞ filter design problem for non-linear two-dimensional (2-D) uncertain continuous systems with state delays and saturation. The non-linear function under consideration is assumed to satisfy the Lipschitz condition while the saturation term is being dealt by using a memory-less sector region methodology. A suitable Lyapunov-Krasovskii functional is considered, and the Wirtinger-based integral inequality method is used to derive some sufficient conditions which ensure that the resultant filtering error system is robustly asymptotically stable along-with the specified L₂ - L_∞ disturbance attenuation level γ. A suitable example explains the derived results' usefulness.