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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…

偏微分方程分析 · 数学 2022-12-15 N. Kumar , J. J. W. van der Vegt , H. J. Zwart

The port-Hamiltonian modelling framework allows for models that preserve essential physical properties such as energy conservation or dissipative inequalities. If all subsystems are modelled as port-Hamiltonian systems and the inputs are…

数值分析 · 数学 2023-01-06 Andreas Bartel , Markus Clemens , Michael Günther , Birgit Jacob , Timo Reis

We develop a reduced-order framework for optimizing mixing in two-dimensional incompressible flows. Instead of optimizing the full transport PDE, the method maximizes the length of advected material interfaces, leading to a…

数值分析 · 数学 2026-05-07 Ziqian Li , Enrique Zuazua

Port-Hamiltonian systems theory provides a systematic methodology for the modeling, simulation and control of multi-physics systems. The incorporation of algebraic constraints has led to a multitude of definitions of port-Hamiltonian…

最优化与控制 · 数学 2022-11-15 Arjan van der Schaft , Volker Mehrmann

Port-Hamiltonian systems have gained a lot of attention in recent years due to their inherent valuable properties in modeling and control. In this paper, we are interested in constructing linear port-Hamiltonian systems from time-domain…

系统与控制 · 电气工程与系统科学 2020-11-18 Karim Cherifi , Pawan Goyal , Peter Benner

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…

系统与控制 · 计算机科学 2016-04-08 Stanislav Aranovskiy , Romeo Ortega , Rafael Cisneros

This study presents the extension of the data-driven optimal prediction approach to the dynamical system with control. The optimal prediction is used to analyze dynamical systems in which the states consist of resolved and unresolved…

动力系统 · 数学 2024-06-05 Aleksandr Katrutsa , Ivan Oseledets , Sergey Utyuzhnikov

Hydrogen's growing role in the transition towards climate-neutral energy systems necessitates structured modeling frameworks. Existing gas network models, largely developed for natural gas, fail to capture hydrogen systems distinct…

最优化与控制 · 数学 2025-12-03 Abdullah Shahin , Hannes Gernandt , Anton Plietzsch , Johannes Schiffer

In this paper, we present finite-dimensional port-Hamiltonian system (PHS) models of a gas pipeline and a network comprising several pipelines for the purpose of control design and stability analysis. Starting from the partial differential…

系统与控制 · 电气工程与系统科学 2023-11-27 Albertus J. Malan , Lukas Rausche , Felix Strehle , Sören Hohmann

We propose a data-driven control method for systems with aleatoric uncertainty, for example, robot fleets with variations between agents. Our method leverages shared trajectory data to increase the robustness of the designed controller and…

机器人学 · 计算机科学 2024-03-25 Alexander von Rohr , Dmitrii Likhachev , Sebastian Trimpe

A frequency based data-driven control design considering mixed H2/H-infinity control objectives is developed for multiple input-single output systems. The main advantage of the data-driven control over the model-based control is its ability…

系统与控制 · 计算机科学 2018-04-11 Omid Bagherieh , Roberto Horowitz

We study a type of port-Hamiltonian system, in which the controller or disturbance is not applied to the flow variables, but to the systems power, a scenario that appears in many practical applications. A suitable framework is provided to…

系统与控制 · 计算机科学 2018-02-08 Pooya Monshizadeh , Juan E. Machado , Romeo Ortega , Arjan van der Schaft

This paper presents a port-Hamiltonian formulation of vehicle-manipulator systems (VMS), a broad class of robotic systems including aerial manipulators, underwater manipulators, space robots, and omnidirectional mobile manipulators. Unlike…

系统与控制 · 电气工程与系统科学 2026-03-19 Ramy Rashad

In the present work we formally extend the theory of port-Hamiltonian systems to include random perturbations. In particular, suitably choosing the space of flow and effort variables we will show how several elements coming from possibly…

概率论 · 数学 2022-05-12 Francesco Cordoni , Luca Di Persio , Riccardo Muradore

This paper provides a first contribution to port-Hamiltonian modeling of district heating networks. By introducing a model hierarchy of flow equations on the network, this work aims at a thermodynamically consistent port-Hamiltonian…

A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it does not require any stability condition and is in particular…

泛函分析 · 数学 2023-02-03 Bálint Farkas , Birgit Jacob , Timo Reis , Merlin Schmitz

In this paper we design discrete port-Hamiltonian systems systematically in two different ways, by applying discrete gradient methods and splitting methods respectively. The discrete port-Hamiltonian systems we get satisfy a discrete notion…

数值分析 · 数学 2017-06-28 Elena Celledoni , Eirik Hoel Høiseth

Interconnection and damping assignment, passivity-based control (IDA-PBC) has proven to be a successful control technique for the stabilisation of many nonlinear systems. In this paper, we propose a method to robustify a system which has…

系统与控制 · 计算机科学 2018-01-22 Joel Ferguson , Alejandro Donaire , Romeo Ortega , Richard H. Middleton

Hybrid machine learning combines physical knowledge with data-driven models to enhance interpretability and performance. In this context, Port-Hamiltonian Systems (PHS), which generalize Hamiltonian mechanics to describe open,…

机器学习 · 计算机科学 2026-05-14 Maximino Linares , Guillaume Doras , Thomas Hélie

In this paper, we propose a novel trajectory tracking controller for fully-actuated mechanical port-Hamiltonian (pH) systems, which is based on recent advances in contraction-based control theory. Our proposed controller renders a desired…

系统与控制 · 计算机科学 2017-02-09 Rodolfo Reyes-Báez , Arjan van der Schaft , Bayu Jayawardhana