Distributed Robust Filtering over Sensor Networks with Quantized Measurement and Switching Topologies

This paper aims at exploring the theoretical research and distributed filtering design of state estimation for sensor networked systems with quantized measurement and switching topologies. In a sensor network, each sensor node has an independent static logarithmic quantizer function, and the quantiz...

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Main Authors: Shuchen Ding, Fengzeng Zhu
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/10/19/2336
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author Shuchen Ding
Fengzeng Zhu
author_facet Shuchen Ding
Fengzeng Zhu
author_sort Shuchen Ding
collection DOAJ
description This paper aims at exploring the theoretical research and distributed filtering design of state estimation for sensor networked systems with quantized measurement and switching topologies. In a sensor network, each sensor node has an independent static logarithmic quantizer function, and the quantized measurement is transmitted to the filtering network via the wireless network. In the corresponding filtering network, each local estimator achieves distributed consistent state estimation of the plant based on the local measurement and the neighboring shared information. In particular, the design of the distributed filter fully takes into account the fact that the communication links between the nodes are not fixed. That is, the communication topology has random switching, and such random switching behavior is described using Markov chains with partially unknown transition probabilities. A set of linear matrix inequalities gives the sufficient conditions for the existence of the distributed filter, while ensuring that the filter error system has the desired <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> performance. Finally, two numerical simulations show the effectiveness of the design method.
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spelling doaj.art-e02894ae077f453a868b554f2ed8a93c2023-11-22T15:56:14ZengMDPI AGElectronics2079-92922021-09-011019233610.3390/electronics10192336Distributed Robust Filtering over Sensor Networks with Quantized Measurement and Switching TopologiesShuchen Ding0Fengzeng Zhu1Engineering Research Center of Internet of Things Applied Technology, Jiangnan University, Wuxi 214122, ChinaEngineering Research Center of Internet of Things Applied Technology, Jiangnan University, Wuxi 214122, ChinaThis paper aims at exploring the theoretical research and distributed filtering design of state estimation for sensor networked systems with quantized measurement and switching topologies. In a sensor network, each sensor node has an independent static logarithmic quantizer function, and the quantized measurement is transmitted to the filtering network via the wireless network. In the corresponding filtering network, each local estimator achieves distributed consistent state estimation of the plant based on the local measurement and the neighboring shared information. In particular, the design of the distributed filter fully takes into account the fact that the communication links between the nodes are not fixed. That is, the communication topology has random switching, and such random switching behavior is described using Markov chains with partially unknown transition probabilities. A set of linear matrix inequalities gives the sufficient conditions for the existence of the distributed filter, while ensuring that the filter error system has the desired <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> performance. Finally, two numerical simulations show the effectiveness of the design method.https://www.mdpi.com/2079-9292/10/19/2336wireless sensor networkdistributed filteringrobust performanceunknown transition probabilityfree-connection weighting matrix
spellingShingle Shuchen Ding
Fengzeng Zhu
Distributed Robust Filtering over Sensor Networks with Quantized Measurement and Switching Topologies
Electronics
wireless sensor network
distributed filtering
robust performance
unknown transition probability
free-connection weighting matrix
title Distributed Robust Filtering over Sensor Networks with Quantized Measurement and Switching Topologies
title_full Distributed Robust Filtering over Sensor Networks with Quantized Measurement and Switching Topologies
title_fullStr Distributed Robust Filtering over Sensor Networks with Quantized Measurement and Switching Topologies
title_full_unstemmed Distributed Robust Filtering over Sensor Networks with Quantized Measurement and Switching Topologies
title_short Distributed Robust Filtering over Sensor Networks with Quantized Measurement and Switching Topologies
title_sort distributed robust filtering over sensor networks with quantized measurement and switching topologies
topic wireless sensor network
distributed filtering
robust performance
unknown transition probability
free-connection weighting matrix
url https://www.mdpi.com/2079-9292/10/19/2336
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AT fengzengzhu distributedrobustfilteringoversensornetworkswithquantizedmeasurementandswitchingtopologies