A novel energy-based modeling framework

TL;DR

This paper introduces a new energy-based modeling framework tailored for constrained systems, offering an alternative to port-Hamiltonian models with energy-preserving properties and demonstrated through diverse applications.

Contribution

The paper presents a novel energy-based modeling approach that maintains energy dissipation and structure-preserving features, expanding modeling options beyond port-Hamiltonian frameworks.

Findings

The model preserves energy dissipation with midpoint and discrete gradient methods.

Ten diverse application examples verify the model's properties.

The framework offers an alternative to port-Hamiltonian models for constrained systems.

Abstract

We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model provides an alternative to the popular port-Hamiltonian framework and exhibits similar properties such as energy dissipation as well as structure-preserving interconnection and Petrov-Galerkin projection. In terms of time discretization, the midpoint rule and discrete gradient methods are dissipation-preserving. Besides the verification of these properties, we present ten examples from different fields of application.