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Interval observer-based fault detectability analysis using mixed set-invariance theory and sensitivity analysis approach

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  • Masoud Pourasghar
  • Vicenç Puig
  • Carlos Ocampo-Martinez

Abstract

This paper addresses the characterisation of the minimum detectable fault (MDF) by means of residual sensitivity integrated with the set-invariance theory when using an interval observer-based approach as a fault detection (FD) scheme. Uncertainties (disturbances and noise) are considered as of unknown but bounded nature (i.e. in the set-membership framework). A zonotopic-set representation towards reducing set operations to simple matrix calculations is utilised to bound the state/output estimations provided by the interval observer-based approach. In order to show the connection between sensitivity and set-invariance analyses, mathematical expressions of the MDF are derived when considering different types of faults. Finally, a simulation case study based on a quadruple-tank system is employed to both illustrate and discuss the effectiveness of the proposed approach. The interval observer-based FD scheme is used to test the MDF obtained from the integration of both residual sensitivity analysis and set-invariance theory in the considered case study.

Suggested Citation

  • Masoud Pourasghar & Vicenç Puig & Carlos Ocampo-Martinez, 2019. "Interval observer-based fault detectability analysis using mixed set-invariance theory and sensitivity analysis approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(3), pages 495-516, February.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:495-516
    DOI: 10.1080/00207721.2018.1563221
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    Cited by:

    1. Xiangxiang Meng & Haisheng Yu & Tao Xu & Herong Wu, 2020. "Disturbance Observer and L 2 -Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System," Energies, MDPI, vol. 13(20), pages 1-20, October.

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