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Adaptive fault estimation and accommodation for distributed parameter systems with coupled parabolic partial differential equations.

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Title: Adaptive fault estimation and accommodation for distributed parameter systems with coupled parabolic partial differential equations.
Authors: Ferdowsi, Farzin1 (AUTHOR) hferdowsi@niu.edu, Cai, Jia2 (AUTHOR), Jagannathan, Sarangapani3 (AUTHOR)
Source: Journal of Control & Decision. May2026, Vol. 13 Issue 3, p793-808. 16p.
Subjects: Distributed parameter systems, Parabolic differential equations, Fault diagnosis, Lyapunov stability
Abstract: This paper presents a novel model-based approach for fault detection, estimation and accommodation in linear distributed parameter systems (DPS) governed by parabolic partial differential equations (PDEs), prone to sensor and actuator faults. Unlike traditional methods, our approach utilises a filter-based observer directly employing the PDE representation and relies solely on boundary measurements, eliminating the need for extensive sensor arrays. By generating fault detection residuals from a comparison of measured and observer outputs, our method offers efficient fault detection. Innovative parameter update laws facilitate accurate estimation of fault parameters, enabling precise adjustment of the nominal controller to mitigate fault effects. Rigorous Lyapunov analysis ensures the robustness of our approach. Additionally, we derive a formula for estimating time-to-accommodation (TTA), providing valuable insights into fault resolution timelines. Simulations on a linearised diffusion process validate the effectiveness of our scheme, highlighting its superiority over existing approaches. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Control & Decision is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Adaptive fault estimation and accommodation for distributed parameter systems with coupled parabolic partial differential equations.
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  Data: <searchLink fieldCode="AR" term="%22Ferdowsi%2C+Farzin%22">Ferdowsi, Farzin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hferdowsi@niu.edu</i><br /><searchLink fieldCode="AR" term="%22Cai%2C+Jia%22">Cai, Jia</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jagannathan%2C+Sarangapani%22">Jagannathan, Sarangapani</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Control+%26+Decision%22">Journal of Control & Decision</searchLink>. May2026, Vol. 13 Issue 3, p793-808. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Distributed+parameter+systems%22">Distributed parameter systems</searchLink><br /><searchLink fieldCode="DE" term="%22Parabolic+differential+equations%22">Parabolic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Fault+diagnosis%22">Fault diagnosis</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+stability%22">Lyapunov stability</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a novel model-based approach for fault detection, estimation and accommodation in linear distributed parameter systems (DPS) governed by parabolic partial differential equations (PDEs), prone to sensor and actuator faults. Unlike traditional methods, our approach utilises a filter-based observer directly employing the PDE representation and relies solely on boundary measurements, eliminating the need for extensive sensor arrays. By generating fault detection residuals from a comparison of measured and observer outputs, our method offers efficient fault detection. Innovative parameter update laws facilitate accurate estimation of fault parameters, enabling precise adjustment of the nominal controller to mitigate fault effects. Rigorous Lyapunov analysis ensures the robustness of our approach. Additionally, we derive a formula for estimating time-to-accommodation (TTA), providing valuable insights into fault resolution timelines. Simulations on a linearised diffusion process validate the effectiveness of our scheme, highlighting its superiority over existing approaches. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Control & Decision is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1080/23307706.2024.2388560
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 793
    Subjects:
      – SubjectFull: Distributed parameter systems
        Type: general
      – SubjectFull: Parabolic differential equations
        Type: general
      – SubjectFull: Fault diagnosis
        Type: general
      – SubjectFull: Lyapunov stability
        Type: general
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      – TitleFull: Adaptive fault estimation and accommodation for distributed parameter systems with coupled parabolic partial differential equations.
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            NameFull: Cai, Jia
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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