Twenty years of distributed port-Hamiltonian systems: a literature review

R Rashad, F Califano, AJ van der Schaft… - IMA Journal of …, 2020‏ - academic.oup.com
The port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in
the past two decades. The theory has been successfully extended from finite-dimensional to …

[HTML][HTML] An overview on irreversible port-Hamiltonian systems

H Ramirez, Y Le Gorrec - Entropy, 2022‏ - mdpi.com
A comprehensive overview of the irreversible port-Hamiltonian system's formulation for finite
and infinite dimensional systems defined on 1D spatial domains is provided in a unified …

Robust IDA‐PBC for underactuated mechanical systems subject to matched disturbances

A Donaire, JG Romero, R Ortega… - … Journal of Robust …, 2017‏ - Wiley Online Library
The problem of robustification of interconnection and dam** assignment passivity‐based
control for underactuated mechanical system vis‐à‐vis matched, constant, and unknown …

On the synthesis of boundary control laws for distributed port-Hamiltonian systems

A Macchelli, Y Le Gorrec, H Ramírez… - IEEE transactions on …, 2016‏ - ieeexplore.ieee.org
This paper is concerned with the energy sha** of 1-D linear boundary controlled port-
Hamiltonian systems. The energy-Casimir method is first proposed to deal with power …

Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct

V Trenchant, H Ramirez, Y Le Gorrec… - Journal of Computational …, 2018‏ - Elsevier
A finite-difference spatial discretization scheme that preserves the port-Hamiltonian structure
of infinite dimensional systems governed by the wave equation is proposed. The scheme is …

Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control

H Ramirez, H Zwart, Y Le Gorrec - Automatica, 2017‏ - Elsevier
The conditions for existence of solutions and stability, asymptotic and exponential, of a large
class of boundary controlled systems on a 1D spatial domain subject to nonlinear dynamic …

[HTML][HTML] Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus

A Brugnoli, R Rashad, S Stramigioli - Journal of computational physics, 2022‏ - Elsevier
In this paper we propose a novel approach to discretize linear port-Hamiltonian systems
while preserving the underlying structure. We present a finite element exterior calculus …

Contact-force control of a flexible Timoshenko arm in rigid/soft environment

T Endo, M Sasaki, F Matsuno… - IEEE Transactions on …, 2016‏ - ieeexplore.ieee.org
This technical note discusses a contact-force control problem of a one-link flexible arm. This
flexible arm includes a Timoshenko beam, and thus we call it the flexible Timoshenko arm …

Modelling and control of an IPMC actuated flexible structure: A lumped port Hamiltonian approach

A Mattioni, Y Wu, H Ramirez, Y Le Gorrec… - Control Engineering …, 2020‏ - Elsevier
This paper deals with the finite dimensional modelling and control of an electro-active
polymer (EAP) actuated flexible structure. This model reproduces the basic mechanical …

Boundary controlled irreversible port-Hamiltonian systems

H Ramirez, Y Le Gorrec, B Maschke - Chemical Engineering Science, 2022‏ - Elsevier
Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) defined on a 1-
dimensional spatial domain are defined by extending the formulation of reversible BC-PHS …