New filter design for linear time-delay systems

Magdi S. Mahmoud

doi:10.1016/j.laa.2010.10.013

New filter design for linear time-delay systems

Magdi S. Mahmoud

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

12 Scopus citations

Abstract

This paper develops new robust delay-dependent filter design for a class of linear systems with time-varying delays and convex-bounded parameter uncertainties. The design procedure hinges upon the constructive use of an appropriate Lyapunov functional plus a free-weighting matrices in order to exhibit the delay-dependent dynamics. The developed approach utilizes smaller number of LMI decision variables thereby leading to less conservative solutions to the delay-dependent stability and filtering problems. Subsequently, linear matrix inequalities (LMIs)-based conditions are characterized such that the linear delay system is robustly asymptotically stable with an γ-level L2-gain. All the developed results are tested on representative examples.

Original language	English
Pages (from-to)	1080-1093
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	434
Issue number	4
DOIs	https://doi.org/10.1016/j.laa.2010.10.013
State	Published - 15 Feb 2011

Bibliographical note

Funding Information:
The author would like to thank the Associate Editor and the reviewers for their helpful comments and to thank the Deanship of Scientific Research (DSR) at KFUPM for supporting this work through research project No. IN100018.

Keywords

Delay-dependent stability
Filter design
LMIs
Lyapunov functional
Time-delay systems
Uncertain systems

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.laa.2010.10.013

Cite this

@article{cd33ed4e9726454fb4a7e9957f98a0a9,

title = "New filter design for linear time-delay systems",

abstract = "This paper develops new robust delay-dependent filter design for a class of linear systems with time-varying delays and convex-bounded parameter uncertainties. The design procedure hinges upon the constructive use of an appropriate Lyapunov functional plus a free-weighting matrices in order to exhibit the delay-dependent dynamics. The developed approach utilizes smaller number of LMI decision variables thereby leading to less conservative solutions to the delay-dependent stability and filtering problems. Subsequently, linear matrix inequalities (LMIs)-based conditions are characterized such that the linear delay system is robustly asymptotically stable with an γ-level L2-gain. All the developed results are tested on representative examples.",

keywords = "Delay-dependent stability, Filter design, LMIs, Lyapunov functional, Time-delay systems, Uncertain systems",

author = "Mahmoud, \{Magdi S.\}",

note = "Funding Information: The author would like to thank the Associate Editor and the reviewers for their helpful comments and to thank the Deanship of Scientific Research (DSR) at KFUPM for supporting this work through research project No. IN100018.",

year = "2011",

month = feb,

day = "15",

doi = "10.1016/j.laa.2010.10.013",

language = "English",

volume = "434",

pages = "1080--1093",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "4",

}

TY - JOUR

T1 - New filter design for linear time-delay systems

AU - Mahmoud, Magdi S.

N1 - Funding Information: The author would like to thank the Associate Editor and the reviewers for their helpful comments and to thank the Deanship of Scientific Research (DSR) at KFUPM for supporting this work through research project No. IN100018.

PY - 2011/2/15

Y1 - 2011/2/15

N2 - This paper develops new robust delay-dependent filter design for a class of linear systems with time-varying delays and convex-bounded parameter uncertainties. The design procedure hinges upon the constructive use of an appropriate Lyapunov functional plus a free-weighting matrices in order to exhibit the delay-dependent dynamics. The developed approach utilizes smaller number of LMI decision variables thereby leading to less conservative solutions to the delay-dependent stability and filtering problems. Subsequently, linear matrix inequalities (LMIs)-based conditions are characterized such that the linear delay system is robustly asymptotically stable with an γ-level L2-gain. All the developed results are tested on representative examples.

AB - This paper develops new robust delay-dependent filter design for a class of linear systems with time-varying delays and convex-bounded parameter uncertainties. The design procedure hinges upon the constructive use of an appropriate Lyapunov functional plus a free-weighting matrices in order to exhibit the delay-dependent dynamics. The developed approach utilizes smaller number of LMI decision variables thereby leading to less conservative solutions to the delay-dependent stability and filtering problems. Subsequently, linear matrix inequalities (LMIs)-based conditions are characterized such that the linear delay system is robustly asymptotically stable with an γ-level L2-gain. All the developed results are tested on representative examples.

KW - Delay-dependent stability

KW - Filter design

KW - LMIs

KW - Lyapunov functional

KW - Time-delay systems

KW - Uncertain systems

UR - https://www.scopus.com/pages/publications/78650514305

U2 - 10.1016/j.laa.2010.10.013

DO - 10.1016/j.laa.2010.10.013

M3 - Article

AN - SCOPUS:78650514305

SN - 0024-3795

VL - 434

SP - 1080

EP - 1093

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 4

ER -

New filter design for linear time-delay systems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this