Delay Dependent Robust H_∞ Filter design for Discrete Time-delay Systems with Missing Measurements via Homogeneous Polynomial Matrices

This paper presents new delay-dependent robust linear matrix inequality (LMI) conditions for a robust H∞ filter for discrete time systems affected by time-varying state delays and missing measurements. Our attention is focused on the analysis and design of robust H∞ filters. LMI relaxations based on...

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Bibliographic Details
Published inInternational journal of automation and smart technology Vol. 6; no. 3
Main Authors Aziza Zabari, El Houssaine Tissir, Said Kririm
Format Journal Article
LanguageEnglish
Published 16.07.2025
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Summary:This paper presents new delay-dependent robust linear matrix inequality (LMI) conditions for a robust H∞ filter for discrete time systems affected by time-varying state delays and missing measurements. Our attention is focused on the analysis and design of robust H∞ filters. LMI relaxations based on homogeneous polynomial matrices of an arbitrary degree are used to determine the state-space realization of the filter. The missing measurements are described by a binary switching sequence satisfying a Bernoulli distribution. Numerical examples are presented to illustrate the effectiveness and applicability of the proposed method.
ISSN:2223-9766
2223-9766
DOI:10.5875/ausmt.v6i3.1112