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Fault Detection for Switched Positive Systems by Zonotope‐Based Dynamic Residual Evaluation Approach.

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Title: Fault Detection for Switched Positive Systems by Zonotope‐Based Dynamic Residual Evaluation Approach.
Authors: Deng, Fugui1,2 (AUTHOR), Ren, Huili1,2 (AUTHOR), Wang, Xiangning1,2 (AUTHOR), Shen, Zhuoliang1,2 (AUTHOR), Han, Haixia1,2 (AUTHOR), Chen, Weizhong1,2 (AUTHOR) chenweizhong124@163.com
Source: International Journal of Robust & Nonlinear Control. 5/10/2026, Vol. 36 Issue 7, p4014-4023. 10p.
Subjects: Fault diagnosis, Positive systems, Robust control, Observability (Control theory), Discrete-time systems, Stability criterion, Convex sets
Abstract: This research investigates the fault detection for discrete‐time switched positive systems under unknown‐but‐bounded disturbances through a zonotope‐based residual evaluation methodology. Compared with the existing findings, the proposed framework introduces a dynamic threshold, thereby achieving an improvement in detection sensitivity while preserving robustness against disturbances. First, we develop a criterion to guarantee the stability and ℓ∞/ℓ−$$ {\ell}_{\infty }/{\ell}_{-} $$ performance for the augmented system. Building upon the analysis results, a co‐design procedure is formulated to simultaneously optimize positive fault detection observers and switching signals for the underlying system. Furthermore, we construct a residual zonotope that geometrically encapsulates the admissible state trajectories of the fault‐free augmented system. The efficacy of the presented zonotopic fault detection scheme is substantiated through illustrative examples. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Robust & Nonlinear Control is the property of Wiley-Blackwell 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.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 192765771
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Fault Detection for Switched Positive Systems by Zonotope‐Based Dynamic Residual Evaluation Approach.
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  Data: <searchLink fieldCode="AR" term="%22Deng%2C+Fugui%22">Deng, Fugui</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ren%2C+Huili%22">Ren, Huili</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Xiangning%22">Wang, Xiangning</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shen%2C+Zhuoliang%22">Shen, Zhuoliang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Han%2C+Haixia%22">Han, Haixia</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chen%2C+Weizhong%22">Chen, Weizhong</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> chenweizhong124@163.com</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Robust+%26+Nonlinear+Control%22">International Journal of Robust & Nonlinear Control</searchLink>. 5/10/2026, Vol. 36 Issue 7, p4014-4023. 10p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Fault+diagnosis%22">Fault diagnosis</searchLink><br /><searchLink fieldCode="DE" term="%22Positive+systems%22">Positive systems</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink><br /><searchLink fieldCode="DE" term="%22Observability+%28Control+theory%29%22">Observability (Control theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Discrete-time+systems%22">Discrete-time systems</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+criterion%22">Stability criterion</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+sets%22">Convex sets</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This research investigates the fault detection for discrete‐time switched positive systems under unknown‐but‐bounded disturbances through a zonotope‐based residual evaluation methodology. Compared with the existing findings, the proposed framework introduces a dynamic threshold, thereby achieving an improvement in detection sensitivity while preserving robustness against disturbances. First, we develop a criterion to guarantee the stability and ℓ∞/ℓ−$$ {\ell}_{\infty }/{\ell}_{-} $$ performance for the augmented system. Building upon the analysis results, a co‐design procedure is formulated to simultaneously optimize positive fault detection observers and switching signals for the underlying system. Furthermore, we construct a residual zonotope that geometrically encapsulates the admissible state trajectories of the fault‐free augmented system. The efficacy of the presented zonotopic fault detection scheme is substantiated through illustrative examples. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Robust & Nonlinear Control is the property of Wiley-Blackwell 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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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/rnc.70405
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 10
        StartPage: 4014
    Subjects:
      – SubjectFull: Fault diagnosis
        Type: general
      – SubjectFull: Positive systems
        Type: general
      – SubjectFull: Robust control
        Type: general
      – SubjectFull: Observability (Control theory)
        Type: general
      – SubjectFull: Discrete-time systems
        Type: general
      – SubjectFull: Stability criterion
        Type: general
      – SubjectFull: Convex sets
        Type: general
    Titles:
      – TitleFull: Fault Detection for Switched Positive Systems by Zonotope‐Based Dynamic Residual Evaluation Approach.
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          Name:
            NameFull: Deng, Fugui
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            NameFull: Ren, Huili
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            NameFull: Wang, Xiangning
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            NameFull: Shen, Zhuoliang
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            NameFull: Han, Haixia
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            NameFull: Chen, Weizhong
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            – D: 10
              M: 05
              Text: 5/10/2026
              Type: published
              Y: 2026
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              Value: 36
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              Value: 7
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            – TitleFull: International Journal of Robust & Nonlinear Control
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