Estimation of uncertain dynamical systems and related properties. Application to health-monitoring.

Carine Jauberthie 1
1 LAAS-DISCO - Équipe DIagnostic, Supervision et COnduite
LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
Abstract : In this work, we are mainly interested in the preventive surveillance of nonlinear systems with bounded uncertainties, that is to say systems for which uncertainties are defined only by their belonging to intervals. For this purpose, we have placed ourselves in a so-called "ensembliste" context in which we have been able to extend two important properties studied in a stochastic context that are identifiability and diagnosticability. Beyond the conceptual definitions required by this work, we proposed tools related to the differential algebra to verify these two properties. The impact of the set identifiability on the results of a parameter estimation was also analyzed, the estimation of parameters being one of the approaches chosen for the detection and the isolation of defects in this work. We also sought to improve the estimation of parameters by developing criteria for the planning of experiments, consisting in optimizing the initial conditions, inputs and / or sampling period. These criteria were applied to two case studies (pharmacokinetics and aeronautics) with very good results. In addition, we are interested in the modeling of systems with "mixed" uncertainties, combining bounded and stochastic uncertainties, notably by proposing an improvement of the Kalman filter at intervals. The work achieved formalizes problems not previously addressed and lays the groundwork for future research.
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Accreditation to supervise research
Automatic Control Engineering. Université Toulouse 3, Paul Sabatier, 2016
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  • HAL Id : tel-01483801, version 1

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Carine Jauberthie. Estimation of uncertain dynamical systems and related properties. Application to health-monitoring.. Automatic Control Engineering. Université Toulouse 3, Paul Sabatier, 2016. 〈tel-01483801〉

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