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In this paper we present a method for the addition of integral action to non-passive outputs of a class of port-Hamiltonian systems. The proposed integral controller is a dynamic extension, constructed from the open loop system, such that…

Systems and Control · Computer Science 2017-03-24 Joel Ferguson , Alejandro Donaire , Richard H. Middleton

We employ a port-Hamiltonian approach to model nonlinear rigid multibody systems subject to both position and velocity constraints. Our formulation accommodates Cartesian and redundant coordinates, respectively, and captures kinematic as…

Dynamical Systems · Mathematics 2025-04-25 Thomas Berger , René Hochdahl , Timo Reis , Robert Seifried

The present work address the problem of energy shaping for stochastic port-Hamiltonian system. Energy shaping is a powerful technique that allows to systematically find feedback law to shape the Hamiltonian of a controlled system so that,…

Probability · Mathematics 2022-02-18 Francesco G. Cordoni , Luca Di Persio , Riccardo Muradore

The structure preserving stabilization of (possibly non-regular) linear port-Hamiltonian descriptor (pHDAE) systems by output feedback is discussed. For general descriptor systems the characterization when there exist output feedbacks that…

Optimization and Control · Mathematics 2024-10-29 Delin Chu , Volker Mehrmann

With this contribution, we give a complete and comprehensive framework for modeling the dynamics of complex mechanical structures as port-Hamiltonian systems. This is motivated by research on the potential of lightweight construction using…

Computational Physics · Physics 2020-08-19 Alexander Warsewa , Michael Böhm , Oliver Sawodny , Cristina Tarín

This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of complex dynamical systems. We introduce new…

Mathematical Physics · Physics 2025-09-09 Luca Di Persio , Matthias Ehrhardt , Youness Outaleb , Sofia Rizzotto

Control theory often takes the mathematical model of the to-be-control-led system for granted. In contrast, port-Hamiltonian systems theory bridges the gap between modelling and control for physical systems. It provides a unified framework…

Optimization and Control · Mathematics 2024-12-30 Arjan van der Schaft

This paper presents a systematic observer design methodology for a class of port-Hamiltonian (pH) systems with state-dependent input matrices. Such systems can model a wide range of electromechanical systems, including magnetic levitation…

Optimization and Control · Mathematics 2026-04-06 Filippo Ugolini , Ning Liu , Yongxin Wu , Yann Le Gorrec , Alessandro Macchelli

We investigate the stability of the wave equation with spatial dependent coefficients on a bounded multidimensional domain. The system is stabilized via a scattering passive feedback law. We formulate the wave equation in a port-Hamiltonian…

Functional Analysis · Mathematics 2022-02-18 Birgit Jacob , Nathanael Skrepek

A fluid-structure interaction model in a port-Hamiltonian representation is derived for a classical guitar. We combine the laws of continuum mechanics for solids and fluids within a unified port-Hamiltonian (pH) modeling approach by…

Feedback controllers for port-Hamiltonian systems reveal an intrinsic inverse optimality property since each passivating state feedback controller is optimal with respect to some specific performance index. Due to the nonlinear…

Optimization and Control · Mathematics 2020-07-20 Lukas Kölsch , Pol Jané Soneira , Felix Strehle , Sören Hohmann

It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with…

Optimization and Control · Mathematics 2025-03-12 Tobias Holicki , Jonas Nicodemus , Paul Schwerdtner , Benjamin Unger

An energy-based modeling framework for the nonlinear dynamics of spatial Cosserat rods undergoing large displacements and rotations is proposed. The mixed formulation features independent displacement, velocity and stress variables and is…

Numerical Analysis · Mathematics 2026-05-11 Philipp L. Kinon , Simon R. Eugster , Peter Betsch

In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is to associate with the incidence matrix of the graph a Dirac…

Optimization and Control · Mathematics 2012-09-07 A. J. van der Schaft , B. M. Maschke

This paper deals with the problem of control of partially known nonlinear systems, which have an open-loop stable equilibrium, but we would like to add a PI controller to regulate its behavior around another operating point. Our main…

Systems and Control · Computer Science 2016-04-08 Stanislav Aranovskiy , Romeo Ortega , Rafael Cisneros

A port-Hamiltonian (pH) system formulation is a geometrical notion used to formulate conservation laws for various physical systems. The distributed parameter port-Hamiltonian formulation models infinite dimensional Hamiltonian dynamical…

Analysis of PDEs · Mathematics 2022-12-15 N. Kumar , J. J. W. van der Vegt , H. J. Zwart

We consider the design of structure-preserving discretization methods for the solution of systems of boundary controlled Partial Differential Equations (PDEs) thanks to the port-Hamiltonian formalism. We first provide a novel general…

Numerical Analysis · Mathematics 2020-09-30 Andrea Brugnoli , Ghislain Haine , Anass Serhani , Xavier Vasseur

While port-Hamiltonian descriptor systems are known to be stable and passive, they may not be asymptotically stable or strictly passive. Necessary and sufficient conditions are presented when these properties as well as the regularity and…

Optimization and Control · Mathematics 2024-12-25 Delin Chu , Volker Mehrmann

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

Analysis of PDEs · Mathematics 2019-05-30 Björn Augner

We present a new method for the identification of linear time-invariant passive systems from noisy frequency response data. In particular, we propose to fit a parametrized port-Hamiltonian (pH) system, which is automatically passive, to…

Systems and Control · Electrical Eng. & Systems 2021-06-23 Paul Schwerdtner