Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks

This paper applies a T-S fuzzy model to depict a class of nonlinear time-varying-delay singular systems and investigates the dissipative filtering problem for these systems under deception attacks. The measurement output is assumed to encounter random deception attacks during signal transmission, an...

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Main Authors: Guobao Liu, Shibin Shen, Xianglei Jia
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/2260753
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author Guobao Liu
Shibin Shen
Xianglei Jia
author_facet Guobao Liu
Shibin Shen
Xianglei Jia
author_sort Guobao Liu
collection DOAJ
description This paper applies a T-S fuzzy model to depict a class of nonlinear time-varying-delay singular systems and investigates the dissipative filtering problem for these systems under deception attacks. The measurement output is assumed to encounter random deception attacks during signal transmission, and a Bernoulli distribution is used to describe this random phenomena. In this case, the filtering error system modeled by a stochastic singular T-S fuzzy system is established and stochastic admissibility for this kind of system is defined firstly. Then, by combining some integral inequalities and using the Lyapunov–Krasovskii functional approach, sufficient delay-dependent conditions are presented based on linear matrix inequality techniques, where the system of filtering error can be stochastically admissible and strictly ℚ,S,ℝ-dissipative against randomly occurring deception attacks. Moreover, parameters of the desired filter can be obtained via the solutions of the established conditions. The validity of our work is illustrated through a mostly used example of the nonlinear system.
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institution Kabale University
issn 1099-0526
language English
publishDate 2021-01-01
publisher Wiley
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series Complexity
spelling doaj-art-8db1b73d51c843c983a76e9e13acb5e62025-02-03T01:07:06ZengWileyComplexity1099-05262021-01-01202110.1155/2021/2260753Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception AttacksGuobao Liu0Shibin Shen1Xianglei Jia2School of Electrical and AutomationSchool of Electrical and AutomationSchool of AutomationThis paper applies a T-S fuzzy model to depict a class of nonlinear time-varying-delay singular systems and investigates the dissipative filtering problem for these systems under deception attacks. The measurement output is assumed to encounter random deception attacks during signal transmission, and a Bernoulli distribution is used to describe this random phenomena. In this case, the filtering error system modeled by a stochastic singular T-S fuzzy system is established and stochastic admissibility for this kind of system is defined firstly. Then, by combining some integral inequalities and using the Lyapunov–Krasovskii functional approach, sufficient delay-dependent conditions are presented based on linear matrix inequality techniques, where the system of filtering error can be stochastically admissible and strictly ℚ,S,ℝ-dissipative against randomly occurring deception attacks. Moreover, parameters of the desired filter can be obtained via the solutions of the established conditions. The validity of our work is illustrated through a mostly used example of the nonlinear system.http://dx.doi.org/10.1155/2021/2260753
spellingShingle Guobao Liu
Shibin Shen
Xianglei Jia
Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks
Complexity
title Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks
title_full Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks
title_fullStr Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks
title_full_unstemmed Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks
title_short Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks
title_sort dissipative filter design for nonlinear time varying delay singular systems against deception attacks
url http://dx.doi.org/10.1155/2021/2260753
work_keys_str_mv AT guobaoliu dissipativefilterdesignfornonlineartimevaryingdelaysingularsystemsagainstdeceptionattacks
AT shibinshen dissipativefilterdesignfornonlineartimevaryingdelaysingularsystemsagainstdeceptionattacks
AT xiangleijia dissipativefilterdesignfornonlineartimevaryingdelaysingularsystemsagainstdeceptionattacks