Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels

Magdi S. Mahmoud

doi:10.1109/SSD.2012.6197899

Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels

Magdi S. Mahmoud^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A robust H _∞ filter design problem for a class of uncertain discrete-time systems with possible missing measurements due to unreliable networked transmission channels is investigated. The stochastic variable, satisfying Bernoulli random binary distribution, is introduced in this work to model the missing phenomena and the corresponding filtering error dynamics with delay is subsequently induced. A set of sufficient conditions is provided for the existence of the desired filter and a robust filter design method is developed within the linear matrix inequality (LMI) framework. A numerical example is given to illustrate the effectiveness of the developed design method.

Original language	English
Title of host publication	International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings
DOIs	https://doi.org/10.1109/SSD.2012.6197899
State	Published - 2012

Publication series

Name	International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings

Keywords

Filter design
Linear matrix inequality
Linear systems
Uncertainties
Unreliable transmission channels

ASJC Scopus subject areas

Signal Processing
Control and Systems Engineering

Access to Document

10.1109/SSD.2012.6197899

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Mahmoud, M. S. (2012). Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels. In International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings Article 6197899 (International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings). https://doi.org/10.1109/SSD.2012.6197899

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title = "Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels",

abstract = "A robust H ∞ filter design problem for a class of uncertain discrete-time systems with possible missing measurements due to unreliable networked transmission channels is investigated. The stochastic variable, satisfying Bernoulli random binary distribution, is introduced in this work to model the missing phenomena and the corresponding filtering error dynamics with delay is subsequently induced. A set of sufficient conditions is provided for the existence of the desired filter and a robust filter design method is developed within the linear matrix inequality (LMI) framework. A numerical example is given to illustrate the effectiveness of the developed design method.",

keywords = "Filter design, Linear matrix inequality, Linear systems, Uncertainties, Unreliable transmission channels",

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

year = "2012",

doi = "10.1109/SSD.2012.6197899",

language = "English",

isbn = "9781467315906",

series = "International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings",

booktitle = "International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings",

}

Mahmoud, MS 2012, Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels. in International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings., 6197899, International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings. https://doi.org/10.1109/SSD.2012.6197899

Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels. / Mahmoud, Magdi S.
International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings. 2012. 6197899 (International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels

AU - Mahmoud, Magdi S.

PY - 2012

Y1 - 2012

N2 - A robust H ∞ filter design problem for a class of uncertain discrete-time systems with possible missing measurements due to unreliable networked transmission channels is investigated. The stochastic variable, satisfying Bernoulli random binary distribution, is introduced in this work to model the missing phenomena and the corresponding filtering error dynamics with delay is subsequently induced. A set of sufficient conditions is provided for the existence of the desired filter and a robust filter design method is developed within the linear matrix inequality (LMI) framework. A numerical example is given to illustrate the effectiveness of the developed design method.

AB - A robust H ∞ filter design problem for a class of uncertain discrete-time systems with possible missing measurements due to unreliable networked transmission channels is investigated. The stochastic variable, satisfying Bernoulli random binary distribution, is introduced in this work to model the missing phenomena and the corresponding filtering error dynamics with delay is subsequently induced. A set of sufficient conditions is provided for the existence of the desired filter and a robust filter design method is developed within the linear matrix inequality (LMI) framework. A numerical example is given to illustrate the effectiveness of the developed design method.

KW - Filter design

KW - Linear matrix inequality

KW - Linear systems

KW - Uncertainties

KW - Unreliable transmission channels

UR - https://www.scopus.com/pages/publications/84861596979

U2 - 10.1109/SSD.2012.6197899

DO - 10.1109/SSD.2012.6197899

M3 - Conference contribution

AN - SCOPUS:84861596979

SN - 9781467315906

T3 - International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings

BT - International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings

ER -

Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels

Abstract

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Keywords

ASJC Scopus subject areas

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