Structure-Preserving Coupling and Decoupling of Port-Hamiltonian Systems

TL;DR

This paper presents a systematic method for transforming coupled port-Hamiltonian systems into a unified form and for decomposing them into weakly coupled subsystems, preserving physical properties and enabling efficient simulation.

Contribution

It introduces a novel approach for structure-preserving coupling and decoupling of port-Hamiltonian systems, facilitating stability analysis and distributed computation.

Findings

Monolithic representation ensures system stability.

Decoupled form enables efficient distributed simulation.

Method preserves key physical properties like energy conservation.

Abstract

The port-Hamiltonian framework is a structure-preserving modeling approach that preserves key physical properties such as energy conservation and dissipation. When subsystems are modeled as port-Hamiltonian systems (pHS) with linearly related inputs and outputs, their interconnection remains port-Hamiltonian. This paper introduces a systematic method for transforming coupled port Hamiltonian ordinary differential equations systems (pHODE) into a single monolithic formulation, and for decomposing a monolithic system into weakly coupled subsystems. The monolithic representation ensures stability and structural integrity, whereas the decoupled form enables efficient distributed simulation via operator splitting or dynamic iteration.