Functional diagnosability and detectability of nonlinear models based on analytical redundancy relations

Abstract : This paper introduces an original definition of diagnosability for nonlinear dynamical models called functional di-agnosability. Fault diagnosability characterizes the faults that can be discriminated using the available sensors in a system. The functional diagnosability definition proposed in this paper is based on analytical redundancy relations obtained from differential algebra tools. Contrary to classical definitions, the study of functional diagnosability highlights some of the analytical redundancy relations properties related to the fault acting on the system. Additionally, it gives a criterion for detecting the faults. Interestingly, the proposed diagnosability definition is closely linked to the notion of identifiability, which establishes an unambiguous mapping between the parameters and the output trajecto-ries of a model. This link allows us to provide a sufficient condition for testing functional diagnosability of a system. Numerical simulations attest the relevance of the suggested approach.
Document type :
Journal articles
Complete list of metadatas

Cited literature [16 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01198408
Contributor : Nathalie Verdière <>
Submitted on : Tuesday, September 15, 2015 - 2:10:41 PM
Last modification on : Saturday, October 26, 2019 - 1:32:10 AM
Long-term archiving on : Tuesday, December 29, 2015 - 12:53:55 AM

File

arXiv_verdiere.pdf
Files produced by the author(s)

Identifiers

Citation

Nathalie Verdière, Carine Jauberthie, Louise Travé-Massuyès. Functional diagnosability and detectability of nonlinear models based on analytical redundancy relations. Journal of Process Control, Elsevier, 2015, 35, pp.1-10. ⟨10.1016/j.jprocont.2015.08.001⟩. ⟨hal-01198408⟩

Share

Metrics

Record views

352

Files downloads

315