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 journalArticlepeer-review

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 languageEnglish
Article number9459420
Pages (from-to)3869-3880
Number of pages12
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume68
Issue number9
DOIs
Publication statusPublished - 2021 Sep

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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