Robust <inline-formula> <tex-math notation="LaTeX">${L_{2}} - {L_{\infty}}$ </tex-math></inline-formula> Filter Design for Uncertain 2-D Continuous Nonlinear Delayed Systems With Saturation

Abstract

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.

Keywords

• Roesser model
• 2-D systems
• non-linear systems
• saturation
• uncertainties
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