Etude des propriétés structurelles d'observabilité et de diagnosticabilité des systèmes bilinéaires par approche graphique

Abstract : Automation is a discipline which treats inter alia control and diagnosis of industrial systems. A first stage to obtain control and diagnosis schemes is to analyze the properties of the considered system. The main analyzed properties are controllability, observability, diagnosticability, stability... Criteria, often based on algebraic or geometrical approaches, make it possible to characterize these properties. Moreover, some works published in the 70's introduced a new representation of systems based on directed graphs. From these works, it results that graphical approach provides simple solutions and thus is very well suited to analyze great dimension and/or uncertain systems. Unfortunately, few works based on graphic methods treats nonlinear systems. By our work, we wished to fill this lack by studying observability and diagnosticability properties for structured bilinear systems using a graphical approach. Necessary and sufficient graphic conditions for the observability of the whole and part of the system state are formulated. Thereafter the sensor placement problem is tackled in order to recover the observability property. Lastly, we focused ourselves on the diagnosticability property. After having given a necessary and sufficient graphic condition of fault detection problem solubility, we then studied various particular cases of control in order to give conditions of active fault detection problem solubility.
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Sébastien Canitrot. Etude des propriétés structurelles d'observabilité et de diagnosticabilité des systèmes bilinéaires par approche graphique. Autre. Université Henri Poincaré - Nancy 1, 2009. Français. ⟨NNT : 2009NAN10126⟩. ⟨tel-01748350⟩

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