Model-based control of soft robots: A survey of the state of the art and open challenges

C Della Santina, C Duriez, D Rus - IEEE Control Systems …, 2023 - ieeexplore.ieee.org
From a functional standpoint, classic robots are not at all similar to biological systems. If
compared with rigid robots, animals' bodies look overly redundant, imprecise, and weak …

Thermodynamics of learning physical phenomena

E Cueto, F Chinesta - Archives of Computational Methods in Engineering, 2023 - Springer
Thermodynamics could be seen as an expression of physics at a high epistemic level. As
such, its potential as an inductive bias to help machine learning procedures attain accurate …

Control of port-Hamiltonian differential-algebraic systems and applications

V Mehrmann, B Unger - Acta Numerica, 2023 - cambridge.org
We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems

Q Hernández, A Badías, F Chinesta, E Cueto - Computational Mechanics, 2023 - Springer
We develop inductive biases for the machine learning of complex physical systems based
on the port-Hamiltonian formalism. To satisfy by construction the principles of …

A partitioned finite element method for power-preserving discretization of open systems of conservation laws

FL Cardoso-Ribeiro, D Matignon… - IMA Journal of …, 2021 - academic.oup.com
This paper presents a structure-preserving spatial discretization method for distributed
parameter port-Hamiltonian systems. The class of considered systems are hyperbolic …

Abstract dissipative Hamiltonian differential-algebraic equations are everywhere

V Mehrmann, H Zwart - arXiv preprint arXiv:2311.03091, 2023 - arxiv.org
In this paper we study the representation of partial differential equations (PDEs) as abstract
differential-algebraic equations (DAEs) with dissipative Hamiltonian structure (adHDAEs) …

Port-Hamiltonian formulations of poroelastic network models

R Altmann, V Mehrmann, B Unger - Mathematical and Computer …, 2021 - Taylor & Francis
We investigate an energy-based formulation of the two-field poroelasticity model and the
related multiple-network model as they appear in geosciences or medical applications. We …

[HTML][HTML] Port-Hamiltonian modeling of ideal fluid flow: Part I. Foundations and kinetic energy

R Rashad, F Califano, FP Schuller… - Journal of Geometry and …, 2021 - Elsevier
In this two-parts paper, we present a systematic procedure to extend the known Hamiltonian
model of ideal inviscid fluid flow on Riemannian manifolds in terms of Lie–Poisson …

Port-Hamiltonian formulations for the modeling, simulation and control of fluids

FL Cardoso-Ribeiro, G Haine, Y Le Gorrec… - Computers & …, 2024 - Elsevier
This paper presents a state of the art on port-Hamiltonian formulations for the modeling and
numerical simulation of open fluid systems. This literature review, with the help of more than …

[HTML][HTML] Port-Hamiltonian modeling of ideal fluid flow: Part II. Compressible and incompressible flow

R Rashad, F Califano, FP Schuller… - Journal of Geometry and …, 2021 - Elsevier
Part I of this paper presented a systematic derivation of the Stokes–Dirac structure
underlying the port-Hamiltonian model of ideal fluid flow on Riemannian manifolds. Starting …