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Conference papers

Bond graph/Digraph matching procedure and symbolic determination of state space descriptor systems

Abstract : In the context of structural analysis of descriptor systems (i.e. Ex_ (t) = Ax(t) + Bu(t), with E singular, also called singular systems, generalized state space systems, or differential-algebraic systems [1, 2, 3]), this paper proposes an extension of existing procedures to determine the state-space descriptor form from the bond graph model, relaxing simplified assumptions. Using this state-space representation, we also propose to build the exact corresponding digraph of a (bi)causal bond graph. This correspondence is used to rigorously adapt, by means of the digraph tool, the graphical computation of the characteristic polynomial det (sE - A) or the determinant of the Rosenbrock matrix det (P(s)) directly from the bond graph model (not presented in this paper).
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Submitted on : Monday, May 6, 2019 - 4:35:53 PM
Last modification on : Monday, September 13, 2021 - 2:44:03 PM
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Julien Lagnier, Wilfrid Marquis-Favre, Daniel Thomasset, Didier Remond. Bond graph/Digraph matching procedure and symbolic determination of state space descriptor systems. ICBGM, Jul 2018, Bordeaux, France. ⟨hal-01870111⟩

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