Fault detection using PDE-based observer in transport flow

Hermine Som Idellette Judith

doi:10.1016/j.isatra.2023.07.041

Fault detection using PDE-based observer in transport flow

2023-11-01

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Hermine Som Idellette Judith *

DOI：10.1016/j.isatra.2023.07.041

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This paper deals with the state fault detection scheme for distribution flow networks subject to continuously varying conditions at boundaries. A robust PDE detection observer for transport flow systems is designed. Directly built on the nonlinear hyperbolic systems of balance laws model with anti-collocated setup, the PDE observer based on backstepping theory provide the on-line estimation of signals that are not measured. The stability of the error equation is proved. The estimation and the observability time are used for fault detection; an adaptive threshold is defined for the purpose. The performances of the observer and the fault detection method are validated on actual flow data collected from a real water distribution system (WDS) for leakage detection. The leak detection time corresponds to the first alarm activation, confirms the effectiveness of proposed approach.(c) 2023 ISA. Published by Elsevier Ltd. All rights reserved.

Keywords:

Fault detection

PDE-based observer

Transport flow element

Hyperbolic systems of balance laws

Leakage detection

Fault detection using PDE-based observer in transport flow

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