Finite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems

In this work, the problem of finite-time asynchronous fault detection filter design is investigated for conic-type nonlinear semi-Markovian jump systems with time delay, missing measurements and randomly jumping fault signal. In particular, the transition probability of the semi-Markov process is co...

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Autores principales:	V. Nithya, V. T. Suveetha, R. Sakthivel, Yong-Ki Ma
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2021
Materias:	Semi-Markovian jump system conic-type nonlinearity missing measurements asynchronous fault detection filter stochastic finite-time boundedness Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/94fdd947dff54bef98acbb7812fc030f
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spelling	oai:doaj.org-article:94fdd947dff54bef98acbb7812fc030f2021-12-03T00:00:26ZFinite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems2169-353610.1109/ACCESS.2021.3130150https://doaj.org/article/94fdd947dff54bef98acbb7812fc030f2021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9624961/https://doaj.org/toc/2169-3536In this work, the problem of finite-time asynchronous fault detection filter design is investigated for conic-type nonlinear semi-Markovian jump systems with time delay, missing measurements and randomly jumping fault signal. In particular, the transition probability of the semi-Markov process is considered as time-varying along with lower and upper bounds of the transition rate. Besides, the asynchronous fault detection filter is developed for semi-Markovian jump systems with specific time-varying transition probability satisfying semi-Markov process. To quantify the effects of missing measurements a stochastic variable that satisfies Bernoulli’s distribution is adopted. Furthermore, a set of sufficient conditions is derived in terms of linear matrix inequalities (LMIs) by constructing proper mode-dependent Lyapunov-Krasovskii functional such that the augmented asynchronous fault detection filtering error system is stochastically finite-time bounded with prescribed strictly <inline-formula> <tex-math notation="LaTeX">$(\mathbb {Q},\mathbb {S},\mathbb {R})-\gamma $ </tex-math></inline-formula> dissipative performance. Finally, the provided filter designs applicability and usefulness has been verified with two numerical examples.V. NithyaV. T. SuveethaR. SakthivelYong-Ki MaIEEEarticleSemi-Markovian jump systemconic-type nonlinearitymissing measurementsasynchronous fault detection filterstochastic finite-time boundednessElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 157609-157622 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Semi-Markovian jump system conic-type nonlinearity missing measurements asynchronous fault detection filter stochastic finite-time boundedness Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Semi-Markovian jump system conic-type nonlinearity missing measurements asynchronous fault detection filter stochastic finite-time boundedness Electrical engineering. Electronics. Nuclear engineering TK1-9971 V. Nithya V. T. Suveetha R. Sakthivel Yong-Ki Ma Finite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems
description	In this work, the problem of finite-time asynchronous fault detection filter design is investigated for conic-type nonlinear semi-Markovian jump systems with time delay, missing measurements and randomly jumping fault signal. In particular, the transition probability of the semi-Markov process is considered as time-varying along with lower and upper bounds of the transition rate. Besides, the asynchronous fault detection filter is developed for semi-Markovian jump systems with specific time-varying transition probability satisfying semi-Markov process. To quantify the effects of missing measurements a stochastic variable that satisfies Bernoulli’s distribution is adopted. Furthermore, a set of sufficient conditions is derived in terms of linear matrix inequalities (LMIs) by constructing proper mode-dependent Lyapunov-Krasovskii functional such that the augmented asynchronous fault detection filtering error system is stochastically finite-time bounded with prescribed strictly <inline-formula> <tex-math notation="LaTeX">$(\mathbb {Q},\mathbb {S},\mathbb {R})-\gamma $ </tex-math></inline-formula> dissipative performance. Finally, the provided filter designs applicability and usefulness has been verified with two numerical examples.
format	article
author	V. Nithya V. T. Suveetha R. Sakthivel Yong-Ki Ma
author_facet	V. Nithya V. T. Suveetha R. Sakthivel Yong-Ki Ma
author_sort	V. Nithya
title	Finite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems
title_short	Finite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems
title_full	Finite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems
title_fullStr	Finite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems
title_full_unstemmed	Finite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems
title_sort	finite-time asynchronous fault detection filter design for conic-type nonlinear semi-markovian jump systems
publisher	IEEE
publishDate	2021
url	https://doaj.org/article/94fdd947dff54bef98acbb7812fc030f
work_keys_str_mv	AT vnithya finitetimeasynchronousfaultdetectionfilterdesignforconictypenonlinearsemimarkovianjumpsystems AT vtsuveetha finitetimeasynchronousfaultdetectionfilterdesignforconictypenonlinearsemimarkovianjumpsystems AT rsakthivel finitetimeasynchronousfaultdetectionfilterdesignforconictypenonlinearsemimarkovianjumpsystems AT yongkima finitetimeasynchronousfaultdetectionfilterdesignforconictypenonlinearsemimarkovianjumpsystems
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Finite-Time Asynchronous Fault Detection Filter Design for Conic-Type Nonlinear Semi-Markovian Jump Systems

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