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Fault Identification in Nonlinear Systems Based on Sliding Mode Observers with Weakened Existence Conditions

  • SYSTEMS THEORY AND GENERAL CONTROL THEORY
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Abstract

This paper considers the problem of fault identification in systems described by nonlinear dynamic equations with disturbances. Sliding mode observers are used for the solution. The proposed approach is based on constructing a reduced (lower-dimensional) model of the original system with selective sensitivity to defects and disturbances. This model is introduced mainly to weaken the existence conditions for sliding mode observers compared to the known works, particularly the minimum phase, detectability, and matching conditions. The weakening effect is achieved since the reduced model may not have the original system’s properties hindering the construction of sliding mode observers. This theory is illustrated by an example.

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Funding

This work was supported by the Russian Science Foundation, project nos. 22-19-00028 (the method to construct sliding mode observers) and 22-29-01303 (sliding mode observer design).

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Authors and Affiliations

  1. Far Eastern Federal University, 690091, Vladivostok, Russia

    A. N. Zhirabok & A. E. Shumsky

  2. Institute of Marine Technology Problems, Far Eastern Branch, Russian Academy of Sciences, 690091, Vladivostok, Russia

    A. V. Zuev

  3. Institute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, 690041, Vladivostok, Russia

    V. F. Filaretov

Authors
  1. A. N. Zhirabok
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  2. A. V. Zuev
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  3. V. F. Filaretov
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  4. A. E. Shumsky
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Corresponding author

Correspondence to A. N. Zhirabok.

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The authors declare that they have no conflicts of interest.

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Translated by A. Mazurov

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Zhirabok, A.N., Zuev, A.V., Filaretov, V.F. et al. Fault Identification in Nonlinear Systems Based on Sliding Mode Observers with Weakened Existence Conditions. J. Comput. Syst. Sci. Int. 61, 313–321 (2022). https://doi.org/10.1134/S1064230722030169

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  • DOI: https://doi.org/10.1134/S1064230722030169

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