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

Julien Lagnier (1, 2) , Wilfrid Marquis-Favre (2) , Daniel Thomasset (2) , Didier Remond (1)

1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
2 MIS - Ampère, Département Méthodes pour l'Ingénierie des Systèmes

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).

Mots clés: Structural Analysis; Descriptor Systems; Bicausal Bond Graph; Causal Cycles and Causal Paths; Digraph

Domaines: Automatique / Robotique

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⟩