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Conference papers

Definition of Essential Order on Descriptor Systems and its Bond Graph Determination

Abstract : In the context of model inversion, a structural invariant of the transfer matrix, the essential order, is used as a model specification criterion to determine the highest time-differentiation order reached by an output in the inverse model. Originally defined for linear time-invariant (LTI) regular systems, we propose an algebraic extension to the class of LTI descriptor systems with regular matrix pencil and show that, from a descriptor system inversion viewpoint, this invariant characterizes the highest time-differentiation of the output like in the regular case. A bond graph determination procedure on the direct model is given using (bi)causal path inspection and the notion of families of different causal paths.
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Submitted on : Wednesday, November 13, 2019 - 2:03:42 PM
Last modification on : Monday, September 13, 2021 - 2:44:03 PM
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Julien Lagnier, Damien Eberard, Michaël Di Loreto, Didier Rémond, Wilfrid Marquis-Favre. Definition of Essential Order on Descriptor Systems and its Bond Graph Determination. ICBGM'16, International Conference on Bond Graph Modeling and Simulation, Jul 2016, Montréal, Canada. pp.133-142, ⟨10.22360/SummerSim.2016.ICBGM.015⟩. ⟨hal-01863697⟩

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