Optimal state estimation over communication channels with random delays

Magdi S. Mahmoud; Bo Liu

doi:10.1016/j.jfranklin.2012.12.021

Optimal state estimation over communication channels with random delays

Magdi S. Mahmoud^*
, Bo Liu

^*Corresponding author for this work

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

2 Scopus citations

Abstract

This paper is concerned with the optimal estimation of linear systems over unreliable communication channels with random delays. The measurements are delivered without time stamp, and the probabilities of time delays are assumed to be known. Since the estimation is time-driven, the actual time delays are converted into virtual time delays among the formulation. The receiver of estimation node stores the sum of arrived measurements between two adjacent processing time instants and also counts the number of arrived measurements. The original linear system is modeled as an extended system with uncertain observation to capture the feature of communication, then the optimal estimation algorithm of systems with uncertain observations is proposed. Additionally, a numerical simulation is presented to show the performance of this work.

Original language	English
Pages (from-to)	598-616
Number of pages	19
Journal	Journal of the Franklin Institute
Volume	350
Issue number	3
DOIs	https://doi.org/10.1016/j.jfranklin.2012.12.021
State	Published - Apr 2013

Bibliographical note

Funding Information:
The authors would like to thank the reviewers for their careful assessments and constructive comments on our submission. This work is supported by the deanship for scientific research (DSR) at KFUPM through group research project RG-1105-1 .

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/j.jfranklin.2012.12.021

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title = "Optimal state estimation over communication channels with random delays",

abstract = "This paper is concerned with the optimal estimation of linear systems over unreliable communication channels with random delays. The measurements are delivered without time stamp, and the probabilities of time delays are assumed to be known. Since the estimation is time-driven, the actual time delays are converted into virtual time delays among the formulation. The receiver of estimation node stores the sum of arrived measurements between two adjacent processing time instants and also counts the number of arrived measurements. The original linear system is modeled as an extended system with uncertain observation to capture the feature of communication, then the optimal estimation algorithm of systems with uncertain observations is proposed. Additionally, a numerical simulation is presented to show the performance of this work.",

author = "Mahmoud, \{Magdi S.\} and Bo Liu",

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AU - Liu, Bo

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N2 - This paper is concerned with the optimal estimation of linear systems over unreliable communication channels with random delays. The measurements are delivered without time stamp, and the probabilities of time delays are assumed to be known. Since the estimation is time-driven, the actual time delays are converted into virtual time delays among the formulation. The receiver of estimation node stores the sum of arrived measurements between two adjacent processing time instants and also counts the number of arrived measurements. The original linear system is modeled as an extended system with uncertain observation to capture the feature of communication, then the optimal estimation algorithm of systems with uncertain observations is proposed. Additionally, a numerical simulation is presented to show the performance of this work.

AB - This paper is concerned with the optimal estimation of linear systems over unreliable communication channels with random delays. The measurements are delivered without time stamp, and the probabilities of time delays are assumed to be known. Since the estimation is time-driven, the actual time delays are converted into virtual time delays among the formulation. The receiver of estimation node stores the sum of arrived measurements between two adjacent processing time instants and also counts the number of arrived measurements. The original linear system is modeled as an extended system with uncertain observation to capture the feature of communication, then the optimal estimation algorithm of systems with uncertain observations is proposed. Additionally, a numerical simulation is presented to show the performance of this work.

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JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 3

ER -

Optimal state estimation over communication channels with random delays

Abstract

Bibliographical note

ASJC Scopus subject areas

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