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We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial…

偏微分方程分析 · 数学 2023-08-04 Birgit Jacob , Hans Zwart

Controlling large-scale cyber-physical systems necessitates optimal distributed policies, relying solely on local real-time data and limited communication with neighboring agents. However, finding optimal controllers remains challenging,…

系统与控制 · 电气工程与系统科学 2024-03-27 Muhammad Zakwan , Giancarlo Ferrari-Trecate

We develop compositional learning algorithms for coupled dynamical systems, with a particular focus on electrical networks. While deep learning has proven effective at modeling complex relationships from data, compositional couplings…

机器学习 · 计算机科学 2025-09-09 Cyrus Neary , Nathan Tsao , Ufuk Topcu

In continuous-time optimal control, evaluating the Hamiltonian requires solving a constrained optimization problem using the system's dynamics model. Hamilton-Jacobi reachability analysis for safety verification has demonstrated practical…

系统与控制 · 电气工程与系统科学 2025-04-07 Jason J. Choi , Christopher A. Strong , Koushil Sreenath , Namhoon Cho , Claire J. Tomlin

We study $H_\infty$ control design for linear time-invariant port-Hamiltonian systems. By a modification of the two central algebraic Riccati equations, we ensure that the resulting controller will be port-Hamiltonian. Using these modified…

最优化与控制 · 数学 2022-06-20 Tobias Breiten , Attila Karsai

Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH descriptor formulation for linear, completely causal, scattering passive dynamical systems…

最优化与控制 · 数学 2023-10-18 Karim Cherifi , Hannes Gernandt , Dorothea Hinsen , Volker Mehrmann

This paper presents a port-Hamiltonian (PH) modeling, control, and structure-preserving simulation framework for grid-forming static var generators (SVGs). A PH model is established that captures energy exchange among the inductor,…

最优化与控制 · 数学 2026-05-19 Jiaxin Qian , Feng Ji , Sixu Wu , Mingyang Liu , Yifa Tang

This article presents a systematic methodology for modeling a class of flexible multidimensional mechanical structures defined by linear elastic relations that directly allows to obtain their infinite-dimensional port-Hamiltonian…

动力系统 · 数学 2023-11-08 Cristobal Ponce , Yongxin Wu , Yann Le Gorrec , Hector Ramirez

In this article we study the possibilities of recovering the structure of port-Hamiltonian systems starting from ``unlabelled'' ordinary differential equations describing mechanical systems. The algorithm we suggest solves the problem in…

计算工程、金融与科学 · 计算机科学 2023-04-26 Vladimir Salnikov , Antoine Falaize , Daria Loziienko

Discrete gradient methods are a powerful tool for the time discretization of dynamical systems, since they are structure-preserving regardless of the form of the total energy. In this work, we discuss the application of discrete gradient…

数值分析 · 数学 2026-01-06 Philipp L. Kinon , Riccardo Morandin , Philipp Schulze

In this paper, we formulate an optimization-based control-by-interconnection approach to the stabilization problem of nonlinear port-Hamiltonian systems. Motivated by model predictive control, the feedback is defined as an initial part of a…

最优化与控制 · 数学 2026-02-17 Till Preuster , Hannes Gernandt , Manuel Schaller

Hybrid machine learning based on Hamiltonian formulations has recently been successfully demonstrated for simple mechanical systems, both energy conserving and not energy conserving. We introduce a pseudo-Hamiltonian formulation that is a…

机器学习 · 计算机科学 2023-02-15 Sølve Eidnes , Alexander J. Stasik , Camilla Sterud , Eivind Bøhn , Signe Riemer-Sørensen

In this work we propose a family of trajectory tracking controllers for marine craft in the port-Hamiltonian (pH) framework using virtual differential passivity based control (v-dPBC). Two pH models of marine craft are considered, one in a…

系统与控制 · 计算机科学 2018-03-22 Rodolfo Reyes-Báez , Alejandro Donaire , Arjan van der Schaft , Bayu Jayawardhana , Tristan Perez

Adaptive structures are equipped with sensors and actuators to actively counteract external loads such as wind. This can significantly reduce resource consumption and emissions during the life cycle compared to conventional structures. A…

系统与控制 · 电气工程与系统科学 2023-12-11 Manuel Schaller , Amelie Zeller , Michael Böhm , Oliver Sawodny , Cristina Tarín , Karl Worthmann

The ability to predict trajectories of surrounding agents and obstacles is a crucial component in many robotic applications. Data-driven approaches are commonly adopted for state prediction in scenarios where the underlying dynamics are…

机器人学 · 计算机科学 2025-04-28 Kaiyuan Tan , Peilun Li , Jun Wang , Thomas Beckers

Today's focus on expanding the capabilities of control systems, resulting from the abundance of data and computational resources, requires data-based alternatives over model-based ones. These alternatives may become the sole tool for…

系统与控制 · 电气工程与系统科学 2024-06-06 Mostafa Eslami , Afshin Banazadeh

In this paper, disturbance reconstruction and robust trajectory tracking control of biped robots with hybrid dynamics in the port-Hamiltonian form is investigated. A new type of Hamiltonian function is introduced, which ensures the…

机器人学 · 计算机科学 2021-10-14 Yousef Farid , Fabio Ruggiero

This paper proposes an extended interconnection and damping assignment passivity-based control technique (IDA-PBC) to control the pressure dynamics in the fuel delivery subsystem (FDS) of proton exchange membrane fuel cells. The fuel cell…

系统与控制 · 电气工程与系统科学 2024-04-19 Lalitesh Kumar , Jian Chen , Chengshuai Wu , Yuzhu Chen , Arjan van der Schaft

We give a short overview of advantages and drawbacks of the classical formulation of minimum cost network flow problems and solution techniques, to motivate a reformulation of classical static minimum cost network flow problems as optimal…

最优化与控制 · 数学 2023-03-24 Onur Tanil Doganay , Kathrin Klamroth , Bruno Lang , Michael Stiglmayr , Claudia Totzeck

Hamiltonian operator inference has been developed in [Sharma, H., Wang, Z., Kramer, B., Physica D: Nonlinear Phenomena, 431, p.133122, 2022] to learn structure-preserving reduced-order models (ROMs) for Hamiltonian systems. The method…

数值分析 · 数学 2025-07-21 Yuwei Geng , Lili Ju , Boris Kramer , Zhu Wang