Complementarity framework formulation from bond graphs to model a class of nonlinear systems and hybrid systems with fixed causality

Noé Villa-Villaseñor, J Jesús Rico-Melgoza
  • SIMULATION, January 2018, SAGE Publications
  • DOI: 10.1177/0037549717751288

Hybrid systems and non-linear systems modeling in bond graphs with linear complementarity.

What is it about?

This paper studies an alternative way of modeling and simulating hybrid systems. This is useful in switched power electronics converters, for example. The same proposed approach allows the simulation of systems found in different areas of physics that can be modeled as bond graphs and that contain passive elements with non-linear constituent relations. The modeling of nonlinear systems and hybrid systems is proposed using a combination of the bond graph technique with linear complementarity.

Why is it important?

The proposed technique expands the options of bond graph modeling of hybrid systems, mainly by adding fixed causality. It also allows the modeling of systems with elements with non-linear constitutive relations. The complementarity framework has mostly allowed the study of power electronics converters, and through the proposed technique it is possible to extend the benefits of this approach to other fields of physics.


Noé Villa-Villaseñor

I believe that bond graphs are a useful tool for the modeling, simulation, and control of multi-domain systems. At the same time, modeling by using the complementarity framework has proved helpful in the study of power switching converters. The combination of both techniques studied in this paper allows exciting applications. Personally, I will work on some of them, but it would be interesting how others can respond to a proposal of this type.

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