A regular H ∞ filter for uncertain discrete-time singular systems with time-varying delays

Magdi S. Mahmoud; Yuanqing Xia

doi:10.1093/imamci/dnr031

A regular H _∞ filter for uncertain discrete-time singular systems with time-varying delays

Magdi S. Mahmoud^*, Yuanqing Xia

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, the problem of delay-dependent robust filtering of linear discrete-time singular systems with time-varying delays and polytopic uncertainties is thoroughly investigated. We employ a linear regular filter to ensure its practical realizability. We establish the filter admissibility condition and then using a novel augmented Lyapunov-Krasovskii functional, we develop a new delay-dependent filtering criteria without relying on overbounding for both the nominal and the uncertain cases. We solve the filter design problem based on H∞-performance criteria. Seeking computational convenience, all the developed results are cast in the form of strict linear matrix inequalities and a numerical example is presented.

Original language	English
Pages (from-to)	309-328
Number of pages	20
Journal	IMA Journal of Mathematical Control and Information
Volume	29
Issue number	3
DOIs	https://doi.org/10.1093/imamci/dnr031
State	Published - Sep 2012

Bibliographical note

Funding Information:
M.S.M. thanks the deanship for scientific research at King Fahd University for Petroleum and Minerals for support through research group project RG1105-1 (IN100018).

Keywords

LMIs
discrete singular systems
realizable filtering
robust filtering
time-delay systems

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Applied Mathematics

Access to Document

10.1093/imamci/dnr031

Cite this

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title = "A regular H ∞ filter for uncertain discrete-time singular systems with time-varying delays",

abstract = "In this paper, the problem of delay-dependent robust filtering of linear discrete-time singular systems with time-varying delays and polytopic uncertainties is thoroughly investigated. We employ a linear regular filter to ensure its practical realizability. We establish the filter admissibility condition and then using a novel augmented Lyapunov-Krasovskii functional, we develop a new delay-dependent filtering criteria without relying on overbounding for both the nominal and the uncertain cases. We solve the filter design problem based on H∞-performance criteria. Seeking computational convenience, all the developed results are cast in the form of strict linear matrix inequalities and a numerical example is presented.",

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AB - In this paper, the problem of delay-dependent robust filtering of linear discrete-time singular systems with time-varying delays and polytopic uncertainties is thoroughly investigated. We employ a linear regular filter to ensure its practical realizability. We establish the filter admissibility condition and then using a novel augmented Lyapunov-Krasovskii functional, we develop a new delay-dependent filtering criteria without relying on overbounding for both the nominal and the uncertain cases. We solve the filter design problem based on H∞-performance criteria. Seeking computational convenience, all the developed results are cast in the form of strict linear matrix inequalities and a numerical example is presented.

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