Joint state and fault estimation for networked interconnected PDE systems with semi-Markov fault coefficient via conjunct measurement

Xiaona Song; Jingtao Man; Choon Ki Ahn

doi:10.1109/TCSI.2021.3087674

Joint state and fault estimation for networked interconnected PDE systems with semi-Markov fault coefficient via conjunct measurement

Xiaona Song, Jingtao Man, Choon Ki Ahn

Research output: Contribution to journal › Article › peer-review

28 Citations (Scopus)

Abstract

This paper interconnects N parabolic partial differential equations (PDEs) by a nonlinear coupling protocol to describe a class of large-scale distributed parameter systems, for which, based on the network communication, the issue of joint state and fault estimation is investigated. First, a generalized fault model, where the fault coefficient follows a semi-Markov switching law, is introduced into the system model. Then, to achieve joint state and fault estimation and ensure the estimation accuracy, a special augmented distributed estimator is designed with using associated information among subsystems. Note that the sampled-data and pointwise measurements are conjunctly employed, such that the network communication resources can be saved to a large extent. Moreover, based on the graph theory, a global Lyapunov-Krasovskii functional (LKF) is constructed to handle the nonlinear coupling function. As a result, an effective theorem is proposed to guarantee that both the state and fault estimation errors can converge to zero while satisfying a strictly (Ξ₁, Ξ₂, Ξ ₃ )−λ− dissipative index. Finally, a numerical example and an application study on chemical non-isothermal tubular reactors are provided to illustrate the feasibility and practicality of this paper.

Original language	English
Article number	9459420
Pages (from-to)	3869-3880
Number of pages	12
Journal	IEEE Transactions on Circuits and Systems I: Regular Papers
Volume	68
Issue number	9
DOIs	https://doi.org/10.1109/TCSI.2021.3087674
Publication status	Published - 2021 Sept

Bibliographical note

Funding Information:
Manuscript received February 24, 2021; revised April 25, 2021 and June 4, 2021; accepted June 5, 2021. Date of publication June 17, 2021; date of current version August 10, 2021. The work of Xiaona Song was supported in part by the National Natural Science Foundation of China under Grant 61976081 and Grant U1604146 and in part by the Natural Science Fund for Excellent Young Scholars of Henan Province under Grant 202300410127. The work of Choon Ki Ahn was supported in part by the National Research Foundation of Korea (NRF) Grant through the Korean Government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449. This article was recommended by Associate Editor Y. Tang. (Corresponding author: Choon Ki Ahn.) Xiaona Song and Jingtao Man are with the School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China (e-mail: [email protected]).

Publisher Copyright:
© 2021 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.

Keywords

Conjunct sampled-data and pointwise measurements
Global LKF
Joint state and fault estimation
Networked interconnected PDE systems
Semi-Markov fault coefficient

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCSI.2021.3087674

Cite this

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title = "Joint state and fault estimation for networked interconnected PDE systems with semi-Markov fault coefficient via conjunct measurement",

abstract = "This paper interconnects N parabolic partial differential equations (PDEs) by a nonlinear coupling protocol to describe a class of large-scale distributed parameter systems, for which, based on the network communication, the issue of joint state and fault estimation is investigated. First, a generalized fault model, where the fault coefficient follows a semi-Markov switching law, is introduced into the system model. Then, to achieve joint state and fault estimation and ensure the estimation accuracy, a special augmented distributed estimator is designed with using associated information among subsystems. Note that the sampled-data and pointwise measurements are conjunctly employed, such that the network communication resources can be saved to a large extent. Moreover, based on the graph theory, a global Lyapunov-Krasovskii functional (LKF) is constructed to handle the nonlinear coupling function. As a result, an effective theorem is proposed to guarantee that both the state and fault estimation errors can converge to zero while satisfying a strictly (Ξ1, Ξ2, Ξ 3 )−λ− dissipative index. Finally, a numerical example and an application study on chemical non-isothermal tubular reactors are provided to illustrate the feasibility and practicality of this paper.",

keywords = "Conjunct sampled-data and pointwise measurements, Global LKF, Joint state and fault estimation, Networked interconnected PDE systems, Semi-Markov fault coefficient",

author = "Xiaona Song and Jingtao Man and Ahn, {Choon Ki}",

note = "Funding Information: Manuscript received February 24, 2021; revised April 25, 2021 and June 4, 2021; accepted June 5, 2021. Date of publication June 17, 2021; date of current version August 10, 2021. The work of Xiaona Song was supported in part by the National Natural Science Foundation of China under Grant 61976081 and Grant U1604146 and in part by the Natural Science Fund for Excellent Young Scholars of Henan Province under Grant 202300410127. The work of Choon Ki Ahn was supported in part by the National Research Foundation of Korea (NRF) Grant through the Korean Government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449. This article was recommended by Associate Editor Y. Tang. (Corresponding author: Choon Ki Ahn.) Xiaona Song and Jingtao Man are with the School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China (e-mail: [email protected]). Publisher Copyright: {\textcopyright} 2021 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.",

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AU - Ahn, Choon Ki

N1 - Funding Information: Manuscript received February 24, 2021; revised April 25, 2021 and June 4, 2021; accepted June 5, 2021. Date of publication June 17, 2021; date of current version August 10, 2021. The work of Xiaona Song was supported in part by the National Natural Science Foundation of China under Grant 61976081 and Grant U1604146 and in part by the Natural Science Fund for Excellent Young Scholars of Henan Province under Grant 202300410127. The work of Choon Ki Ahn was supported in part by the National Research Foundation of Korea (NRF) Grant through the Korean Government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449. This article was recommended by Associate Editor Y. Tang. (Corresponding author: Choon Ki Ahn.) Xiaona Song and Jingtao Man are with the School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China (e-mail: [email protected]). Publisher Copyright: © 2021 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.

PY - 2021/9

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N2 - This paper interconnects N parabolic partial differential equations (PDEs) by a nonlinear coupling protocol to describe a class of large-scale distributed parameter systems, for which, based on the network communication, the issue of joint state and fault estimation is investigated. First, a generalized fault model, where the fault coefficient follows a semi-Markov switching law, is introduced into the system model. Then, to achieve joint state and fault estimation and ensure the estimation accuracy, a special augmented distributed estimator is designed with using associated information among subsystems. Note that the sampled-data and pointwise measurements are conjunctly employed, such that the network communication resources can be saved to a large extent. Moreover, based on the graph theory, a global Lyapunov-Krasovskii functional (LKF) is constructed to handle the nonlinear coupling function. As a result, an effective theorem is proposed to guarantee that both the state and fault estimation errors can converge to zero while satisfying a strictly (Ξ1, Ξ2, Ξ 3 )−λ− dissipative index. Finally, a numerical example and an application study on chemical non-isothermal tubular reactors are provided to illustrate the feasibility and practicality of this paper.

AB - This paper interconnects N parabolic partial differential equations (PDEs) by a nonlinear coupling protocol to describe a class of large-scale distributed parameter systems, for which, based on the network communication, the issue of joint state and fault estimation is investigated. First, a generalized fault model, where the fault coefficient follows a semi-Markov switching law, is introduced into the system model. Then, to achieve joint state and fault estimation and ensure the estimation accuracy, a special augmented distributed estimator is designed with using associated information among subsystems. Note that the sampled-data and pointwise measurements are conjunctly employed, such that the network communication resources can be saved to a large extent. Moreover, based on the graph theory, a global Lyapunov-Krasovskii functional (LKF) is constructed to handle the nonlinear coupling function. As a result, an effective theorem is proposed to guarantee that both the state and fault estimation errors can converge to zero while satisfying a strictly (Ξ1, Ξ2, Ξ 3 )−λ− dissipative index. Finally, a numerical example and an application study on chemical non-isothermal tubular reactors are provided to illustrate the feasibility and practicality of this paper.

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ER -

Joint state and fault estimation for networked interconnected PDE systems with semi-Markov fault coefficient via conjunct measurement

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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