Finite-Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures

In this study, the problem of finite-time nonfragile dissipative-based filter design for wireless sensor networks that is described by discrete-time systems with time-varying delay is investigated. Specifically, to reduce the energy consumption of wireless sensor networks, it is assumed that the sig...

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Main Authors: R. Sakthivel, V. Nithya, Yong-Ki Ma, Chao Wang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/7482015
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author R. Sakthivel
V. Nithya
Yong-Ki Ma
Chao Wang
author_facet R. Sakthivel
V. Nithya
Yong-Ki Ma
Chao Wang
author_sort R. Sakthivel
collection DOAJ
description In this study, the problem of finite-time nonfragile dissipative-based filter design for wireless sensor networks that is described by discrete-time systems with time-varying delay is investigated. Specifically, to reduce the energy consumption of wireless sensor networks, it is assumed that the signal is not transmitted at each instant and the transmission process is stochastic. By constructing a suitable Lyapunov-Krasovskii functional and employing discrete-time Jensen’s inequality, a new set of sufficient conditions is established in terms of linear matrix inequalities such that the augmented filtering system is stochastically finite-time bounded with a prescribed dissipative performance level. Meanwhile, the desired dissipative-based filter gain matrices can be determined by solving an optimization problem. Finally, two numerical examples are provided to illustrate the effectiveness and the less conservatism of the proposed filter design technique.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2018-01-01
publisher Wiley
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series Complexity
spelling doaj-art-f02ec0b110de41a0a721c9f2b81554e62025-02-03T01:27:48ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/74820157482015Finite-Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor FailuresR. Sakthivel0V. Nithya1Yong-Ki Ma2Chao Wang3Department of Mathematics, Bharathiar University, Coimbatore 641 046, IndiaDepartment of Mathematics, Bharathiar University, Coimbatore 641 046, IndiaDepartment of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Republic of KoreaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaIn this study, the problem of finite-time nonfragile dissipative-based filter design for wireless sensor networks that is described by discrete-time systems with time-varying delay is investigated. Specifically, to reduce the energy consumption of wireless sensor networks, it is assumed that the signal is not transmitted at each instant and the transmission process is stochastic. By constructing a suitable Lyapunov-Krasovskii functional and employing discrete-time Jensen’s inequality, a new set of sufficient conditions is established in terms of linear matrix inequalities such that the augmented filtering system is stochastically finite-time bounded with a prescribed dissipative performance level. Meanwhile, the desired dissipative-based filter gain matrices can be determined by solving an optimization problem. Finally, two numerical examples are provided to illustrate the effectiveness and the less conservatism of the proposed filter design technique.http://dx.doi.org/10.1155/2018/7482015
spellingShingle R. Sakthivel
V. Nithya
Yong-Ki Ma
Chao Wang
Finite-Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures
Complexity
title Finite-Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures
title_full Finite-Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures
title_fullStr Finite-Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures
title_full_unstemmed Finite-Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures
title_short Finite-Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures
title_sort finite time nonfragile dissipative filter design for wireless networked systems with sensor failures
url http://dx.doi.org/10.1155/2018/7482015
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