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Fault Diagnosis Using Set-Membership Approaches

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Fault Diagnosis of Dynamic Systems

Abstract

As discussed in Chap. 4, model-based fault detection of dynamic processes is based on the use of models (i.e., analytical redundancy) to check the consistency of observed behaviours. However, when building a model of a dynamic process to monitor its behaviour, there is always some mismatch between the modelled and real behaviour due to the fact that some effects are neglected, some non-linearities are linearised in order to simplify the model, some parameters have tolerance when are compared between several units of the same component, some errors in parameters (or in the structure) of the model are introduced in the model identification process, etc. These modelling errors introduce some uncertainty in the model.

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Notes

  1. 1.

    The problem of wrapping is related to the use of a crude approximation of set of states associated with the interval simulation. If at each iteration, the true solution set is wrapped into its interval hull, since the overestimation of the wrapped set is proportional to its radius, a spurious growth of the enclosures can result if the composition of wrapping and mapping is iterated.

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Acknowledgements

This work has been partially funded by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERFD) through the projects DEOCS (ref. MINECO DPI2016-76493) and SCAV (ref. MINECO DPI2017-88403-R). This work has also been partially funded by AGAUR of Generalitat de Catalunya through the Advanced Control Systems (SAC) group grant (2017 SGR 482) and by Agència de Gestió d’Ajuts Universitaris i de Recerca.

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Authors and Affiliations

  1. Advanced Control Systems (SAC) Group, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain

    Vicenç Puig & Masoud Pourasghar

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  1. Vicenç Puig
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  2. Masoud Pourasghar
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Correspondence to Vicenç Puig .

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Editors and Affiliations

  1. Research Center for Supervision, Safety and Automatic Control (CS2AC), Universitat Politècnica de Catalunya (UPC), Terrassa, Spain

    Teresa Escobet

  2. Department of Computer Science, University of Valladolid, Segovia, Spain

    Anibal Bregon

  3. Department of Computer Science, University of Valladolid, Valladolid, Spain

    Belarmino Pulido

  4. Research Center for Supervision, Safety and Automatic Control (CS2AC), Universitat Politècnica de Catalunya (UPC), Terrassa, Spain

    Vicenç Puig

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Puig, V., Pourasghar, M. (2019). Fault Diagnosis Using Set-Membership Approaches. In: Escobet, T., Bregon, A., Pulido, B., Puig, V. (eds) Fault Diagnosis of Dynamic Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-17728-7_10

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