2011
IMAACA 2011 Proceeding
Algebraic characterization of the invariant zeros structure of LTV bond graph models
Authors: Dapeng Yang, Christophe Sueur, Geneviève Dauphin-Tanguy
Abstract
? In this paper, invariant zeros structure of linear time varying systems modeled by bond graph is derived by using module theory. Infinite structure of the bond graph model is used to get the number of invariant zeros. In the linear time invariant case, null invariant zeros can be directly pointed out. It is no more true for linear time varying models, the combination of graphic and algebraic methods must be considered. A new procedure based on the finite structure of the bond graph model is given to determine the null value of invariant zeros. Algebraic calculations of torsion modules clarify this difference. Based on a simple RLC circuit, different comparative approaches are proposed. A theoretical form based on Jacobson forms of system matrices is proposed and developed with a Maple programm. Some simulations with 20-sim illustrate the results.
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