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Fault detection and isolation using viability theory and interval observers

Author

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  • Majid Ghaniee Zarch
  • Vicenç Puig
  • Javad Poshtan
  • Mahdi Aliyari Shoorehdeli

Abstract

This paper proposes the use of interval observers and viability theory in fault detection and isolation (FDI). Viability theory develops mathematical and algorithmic methods for investigating the viability constraints characterisation of dynamic evolutions of complex systems under uncertainty. These methods can be used for checking the consistency between observed and predicted behaviour by using simple sets that approximate the exact set of possible behaviour (in the parameter or state space). In this paper, FDI is based on checking for an inconsistency between the measured and predicted behaviours using viability theory concepts and sets. Finally, an example is provided in order to show the usefulness of the proposed approach.

Suggested Citation

  • Majid Ghaniee Zarch & Vicenç Puig & Javad Poshtan & Mahdi Aliyari Shoorehdeli, 2018. "Fault detection and isolation using viability theory and interval observers," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(7), pages 1445-1462, May.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1445-1462
    DOI: 10.1080/00207721.2018.1454536
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