Lagrangian and Port-Hamiltonian formulation for Distributed-parameter systems

Distributed-Parameter Port-Hamiltonian Systems

Explicit Simplicial Discretization of Distributed-Parameter Port-Hamiltonian Systems

Simplicial Dirac structures as finite analogues of the canonical Stokes-Dirac structure, capturing the topological laws of the system, are defined on simplicial manifolds in terms of primal and dual cochains related by the coboundary operators. These finite-dimensional Dirac structures offer a framework for the formulation of standard input-output finite-dimensional portHamiltonian systems that...

Coupling between hyperbolic and diffusive systems: A port-Hamiltonian formulation

The aim of this paper is to study a conservative wave equation coupled to a diffusion equation. This coupled system naturally arises in musical acoustics when viscous and thermal effects at the wall of the duct of a wind instrument are taken into account. The resulting equation, known as Webster-Lokshin model, has variable coefficients in space, and a fractional derivative in time. This equatio...

Network Modeling and Control of Physical Systems, DISC Theory of Port-Hamiltonian systems Chapter 1: Port-Hamiltonian formulation of network models; the lumped-parameter case

It is shown how port-based modeling of lumped-parameter complex physical systems (multi-body systems, electrical circuits, electromechanical systems, ..) naturally leads to a geometrically defined class of systems, called port-Hamiltonian systems. These are Hamiltonian systems defined with respect to a power-conserving geometric structure capturing the basic interconnection laws, and a Hamilton...

Optimality of Passivity-Based Controls for Distributed Port-Hamiltonian Systems

This paper discusses the (inverse) optimality and practical usage of passivitybased controls for distributed port-Hamiltonian systems. We first clarify that passivity-based controls, damping assignment and potential shaping can be derived from a linear quadratic type optimal control problem. Next, we describe the limitation of passivity-based boundary controls and propose a practical usage of t...