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This paper is concerned with the modeling and control of a curling Hydraulically Amplified Self-healing Electrostatic (HASEL) actuator using the port-Hamiltonian (PH) approach. For that purpose, we use a modular approach and consider the…

Dynamical Systems · Mathematics 2024-02-20 Nelson Cisneros , Yongxin Wu , Kanty Rabenorosoa , Yann Le Gorrec

A recent alternative for hydrogen transportation as a mixture with natural gas is blending it into natural gas pipelines. However, hydrogen embrittlement of material is a major concern for scientists and gas installation designers to avoid…

Machine Learning · Computer Science 2023-06-26 Minh Triet Chau , João Lucas de Sousa Almeida , Elie Alhajjar , Alberto Costa Nogueira Junior

We prove a one-to-one correspondence between the geometric formulation of port-Hamiltonian (pH) systems defined by Dirac structures, Lagrange structures, maximal resistive structures, and external ports and a state-space formulation by…

Optimization and Control · Mathematics 2023-05-16 Hannes Gernandt , Friedrich Philipp , Till Preuster , Manuel Schaller

The class of port-Hamiltonian systems incorporates many physical models, such as mechanical systems in the finite-dimensional case and wave and beam equations in the infinite-dimensional case. In this paper we study a subclass of linear…

Optimization and Control · Mathematics 2021-04-27 Birgit Jacob , Hans Zwart

Accurate models of robot dynamics are critical for safe and stable control and generalization to novel operational conditions. Hand-designed models, however, may be insufficiently accurate, even after careful parameter tuning. This…

Robotics · Computer Science 2024-06-13 Thai Duong , Abdullah Altawaitan , Jason Stanley , Nikolay Atanasov

Methods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analysis of the connections between mixed elements and…

Numerical Analysis · Mathematics 2020-06-09 Andrea Brugnoli , Daniel Alazard , Valérie Pommier-Budinger , Denis Matignon

Deep learning has achieved great success in modeling dynamical systems, providing data-driven simulators to predict complex phenomena, even without known governing equations. However, existing models have two major limitations: their narrow…

Machine Learning · Computer Science 2024-10-16 Razmik Arman Khosrovian , Takaharu Yaguchi , Hiroaki Yoshimura , Takashi Matsubara

The problem of modeling and control of multi-terminal high-voltage direct-current transmission systems is addressed in this paper, which contains five main contributions. First, to propose a unified, physically motivated, modeling framework…

Systems and Control · Computer Science 2016-09-13 Daniele Zonetti , Romeo Ortega , Abdelkrim Benchaib

We give insight in the structure of port-Hamiltonian systems as control systems in between two closed Hamiltonian systems. Using the language of category theory, we identify systems with their behavioural representation and view a…

Dynamical Systems · Mathematics 2024-06-04 Jonas Kirchhoff

This paper proposes a port-Hamiltonian framework for angle-based formation stabilization and maneuvers using bearing and velocity measurements with an underlying triangulated Laman graph. The corresponding port-Hamiltonian controller is…

Systems and Control · Electrical Eng. & Systems 2023-05-18 Ningbo Li , Pablo Borja , Arjan van der Schaft , Jacquelien M. A. Scherpen

Since the 1970s contact geometry has been recognized as an appropriate framework for the geometric formulation of the state properties of thermodynamic systems, without, however, addressing the formulation of non-equilibrium thermodynamic…

Statistical Mechanics · Physics 2018-12-26 Arjan van der Schaft , Bernhard Maschke

Most planning of the traditional hydrogen energy supply chain (HSC) focuses on the storage and transportation links between production and consumption ends. It ignores the energy flows and interactions between each link, making it…

Systems and Control · Electrical Eng. & Systems 2024-05-17 Xinning Yia , Tianguang Lua , Jing Li , Shaocong Wu

Climate neutrality paradigms put electricity systems at the core of a clean energy supply. At the same time, indirect electrification, with a potential uptake of hydrogen or derived fuel economy, plays a crucial role in decarbonising the…

General Economics · Economics 2025-05-27 Felix Frischmuth , Mattis Berghoff , Martin Braun , Philipp Haertel

We explore the use of Physics Informed Neural Networks to analyse nonlinear Hamiltonian Dynamical Systems with a first integral of motion. In this work, we propose an architecture which combines existing Hamiltonian Neural Network…

Machine Learning · Computer Science 2023-08-09 Vedanta Thapar

We extend the modeling framework of port-Hamiltonian descriptor systems to include under- and over-determined systems and arbitrary differentiable Hamiltonian functions. This structure is associated with a Dirac structure that encloses its…

Optimization and Control · Mathematics 2019-03-26 Volker Mehrmann , Riccardo Morandin

The widespread deployment of power electronic technologies is transforming modern power systems into fast, nonlinear, and heterogeneous networks. Conventional modeling and control approaches, rooted in quasi-static analysis and centralized…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Hiya Gada , Rupamathi Jaddivada , Marija Ilic

The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so-called ports. In this paper, we apply an operator splitting…

Numerical Analysis · Mathematics 2023-04-05 Andreas Frommer , Michael Günther , Björn Liljegren-Sailer , Nicole Marheineke

The growing coupling among electricity, gas, and hydrogen systems is driven by green hydrogen blending into existing natural gas pipelines, paving the way toward a renewable-dominated energy future. However, the integration poses…

Systems and Control · Electrical Eng. & Systems 2025-10-23 Wenxin Liu , Jiakun Fang , Shichang Cui , Zhiyao Zhong , Iskandar Abdullaev , Suyang Zhou , Xiaomeng Ai , Jinyu Wen

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…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Karim Cherifi , Pawan Goyal , Peter Benner

The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems are studied. A…

Analysis of PDEs · Mathematics 2017-11-21 Birgit Jacob , Kirsten A. Morris , Hans Zwart