Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropouts

Abstract This study examines the H2 filtering problem for sampled‐data systems that are subject to measurement delays and packet dropouts. The phenomenon of packet dropout is different for each observation component and is described as an independent and identically distributed Bernoulli process, wh...

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Main Authors: Wei Wang, Chunyan Han
Format: Article
Language:English
Published: Wiley 2021-05-01
Series:IET Signal Processing
Online Access:https://doi.org/10.1049/sil2.12021
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author Wei Wang
Chunyan Han
author_facet Wei Wang
Chunyan Han
author_sort Wei Wang
collection DOAJ
description Abstract This study examines the H2 filtering problem for sampled‐data systems that are subject to measurement delays and packet dropouts. The phenomenon of packet dropout is different for each observation component and is described as an independent and identically distributed Bernoulli process, which is more general than the scalar packet dropout case. The reorganized observation technique is introduced herein to address the time delays in the observations. An optimal filter is constructed using a deterministic continuous‐time system with finite jumps, where the filter gains are determined by integrating a specific continuous‐time Riccati equation with finite jumps, based on a suitable algebraic Lyapunov equation. Compared with the discrete‐time filter, the optimal filter can provide the state estimates of the measurement sampling intervals and measurement sampling moments. Two simulation examples are explored to demonstrate the effectiveness of the proposed method.
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series IET Signal Processing
spelling doaj-art-b99a1090b6d84268904aed63db9a8bdb2025-08-20T03:23:14ZengWileyIET Signal Processing1751-96751751-96832021-05-0115318219410.1049/sil2.12021Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropoutsWei Wang0Chunyan Han1School of Electrical Engineering University of Jinan Shandong Jinan P. R. ChinaSchool of Electrical Engineering University of Jinan Shandong Jinan P. R. ChinaAbstract This study examines the H2 filtering problem for sampled‐data systems that are subject to measurement delays and packet dropouts. The phenomenon of packet dropout is different for each observation component and is described as an independent and identically distributed Bernoulli process, which is more general than the scalar packet dropout case. The reorganized observation technique is introduced herein to address the time delays in the observations. An optimal filter is constructed using a deterministic continuous‐time system with finite jumps, where the filter gains are determined by integrating a specific continuous‐time Riccati equation with finite jumps, based on a suitable algebraic Lyapunov equation. Compared with the discrete‐time filter, the optimal filter can provide the state estimates of the measurement sampling intervals and measurement sampling moments. Two simulation examples are explored to demonstrate the effectiveness of the proposed method.https://doi.org/10.1049/sil2.12021
spellingShingle Wei Wang
Chunyan Han
Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropouts
IET Signal Processing
title Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropouts
title_full Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropouts
title_fullStr Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropouts
title_full_unstemmed Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropouts
title_short Optimal H2 filtering for sampled‐data systems with measurement delays and packet dropouts
title_sort optimal h2 filtering for sampled data systems with measurement delays and packet dropouts
url https://doi.org/10.1049/sil2.12021
work_keys_str_mv AT weiwang optimalh2filteringforsampleddatasystemswithmeasurementdelaysandpacketdropouts
AT chunyanhan optimalh2filteringforsampleddatasystemswithmeasurementdelaysandpacketdropouts