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

This paper discusses the L<sub>2</sub> - L<sub>&#x221E;</sub> 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 conditio...

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Bibliographic Details
Main Authors: Zhaoxia Duan, Imran Ghous, Jahanzeb Akhtar, Khurram Ali, Mujtaba Hussain Jeffery
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8561262/
Description
Summary:This paper discusses the L<sub>2</sub> - L<sub>&#x221E;</sub> 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 L<sub>2</sub> - L<sub>&#x221E;</sub> disturbance attenuation level &#x03B3;. A suitable example explains the derived results' usefulness.
ISSN:2169-3536