Overcoming Non-Discernibility through Mode-Sequence Analytic Redundancy Relations in Hybrid Diagnosis and Estimation

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Published Oct 11, 2010
DOI https://doi.org/10.36001/phmconf.2010.v2i1.1938
Michael Hofbaur
Institute of Automation and Control Engineering, UMIT, Eduard Walln¨over Zentrum 1, A- 6060 Hall in Tyrol, Austria
Louise Travé-Massuy`es
CNRS ; LAAS ; 7 avenue du colonel Roche, F-31077 Toulouse, Fra
Theresa Rienm¨uller
Institute of Automation and Control Engineering, UMIT, Eduard Walln¨over Zentrum 1, A- 6060 Hall in Tyrol, Austria
Mehdi Bayoudh
Université de Toulouse ; UPS, INSA, INP, ISAE ; LAAS ; F-31077 Toulouse, France

Abstract

Estimating the mode of operation of a hybrid system means to account for its interleaved continuous and discrete dynamics from a partial set of observations. The quality of the estimation obviously depends on the level of diagnosability of the system, which has been shown to depend on the discrete and the continuous observations as a whole. The case of two modes showing very similar, if not the same, continuous dynamic input/output behavior is critical when the discrete events do not allow discrimination. In this case, these modes, so called non-discernible modes, are accepted to be not discriminable. This paper uses the concept of Mode-Sequence Analytic Redundancy Relation which is shown to achieve discriminability of such non-discernible modes in many cases. A focusing test based on modesequence ARRs is then proposed to improve hybrid state estimation.

How to Cite

Hofbaur, M., Travé-Massuy`es, L., Rienm¨uller, T., & Bayoudh, M. (2010). Overcoming Non-Discernibility through Mode-Sequence Analytic Redundancy Relations in Hybrid Diagnosis and Estimation. Annual Conference of the PHM Society, 2(2). https://doi.org/10.36001/phmconf.2010.v2i1.1938
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Issue
Vol. 2 No. 2 (2010): Proceedings of the 21st International Workshop on the Principles of Diagnosis, held jointly with the Annual Conference of the PHM Society 2010
Section
Technical Research Papers

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