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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

A generic data-assisted control architecture within the port-Hamiltonian framework is proposed, introducing a physically meaningful observable that links conservative dynamics to all actuation, dissipation, and disturbance channels. A…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Mostafa Eslami , Maryam Babazadeh

The main objective of this paper is to propose an alternative procedure to carry out one of the key steps of immersion and invariance stabilising controller design. Namely, the one that ensures attractivity of the manifold whose internal…

Systems and Control · Computer Science 2016-11-18 Lei Wang , Fulvio Forni , Romeo Ortega , Hongye Su

This paper presents a structure-preserving model reduction approach applicable to large-scale, nonlinear port-Hamiltonian systems. Structure preservation in the reduction step ensures the retention of port-Hamiltonian structure which, in…

Numerical Analysis · Mathematics 2016-01-05 Saifon Chaturantabut , Chris Beattie , Serkan Gugercin

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…

Systems and Control · Computer Science 2018-02-08 Pooya Monshizadeh , Juan E. Machado , Romeo Ortega , Arjan van der Schaft

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…

Systems and Control · Computer Science 2018-03-22 Rodolfo Reyes-Báez , Alejandro Donaire , Arjan van der Schaft , Bayu Jayawardhana , Tristan Perez

Port-Hamiltonian theory is an established way to describe nonlinear physical systems widely used in various fields such as robotics, energy management, and mechanical engineering. This has led to considerable research interest in the…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Thomas Beckers

This paper introduces a hypothetical hybrid control framework for port-Hamiltonian (p$\mathcal{H}$) systems, employing a dynamic decomposition based on Data-Assisted Control (DAC). The system's evolution is split into two parts with fixed…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Mostafa Eslami , Maryam Babazadeh

The ability of animals to interact with complex dynamics is unmatched in robots. Especially important to the interaction performances is the online adaptation of body dynamics, which can be modeled as an impedance behaviour. However, the…

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

Stochastic port-Hamiltonian systems represent open dynamical systems with dissipation, inputs, and stochastic forcing in an energy based form. We introduce stochastic port-Hamiltonian neural networks, SPH-NNs, which parameterize the…

Machine Learning · Computer Science 2026-03-12 Luca Di Persio , Matthias Ehrhardt , Youness Outaleb

Shared Control methods often use impedance control to track target poses in a robotic manipulator. The guidance behavior of such controllers is shaped by the used stiffness gains, which can be varying over time to achieve an adaptive…

Transient stability is crucial to the reliable operation of power systems. Existing theories rely on the simplified electromechanical models, substituting the detailed electromagnetic dynamics of inductor and capacitor with their impedance…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Xinyuan Jiang , Constantino M. Lagoa , Yan Li

Robotic manipulation in dynamic environments often requires seamless transitions between different grasp types to maintain stability and efficiency. However, achieving smooth and adaptive grasp transitions remains a challenge, particularly…

Robotics · Computer Science 2025-09-24 Kuanqi Cai , Chunfeng Wang , Zeqi Li , Haowen Yao , Weinan Chen , Luis Figueredo , Aude Billard , Arash Ajoudani

We present a novel physics-informed system identification method to construct a passive linear time-invariant system. In more detail, for a given quadratic energy functional, measurements of the input, state, and output of a system in the…

Dynamical Systems · Mathematics 2023-02-13 Riccardo Morandin , Jonas Nicodemus , Benjamin Unger

In this contribution, we introduce a general class of car-following models with an input-state-output port-Hamiltonian structure. We derive stability conditions and long-term behavior of the finite system with periodic boundaries and…

Dynamical Systems · Mathematics 2025-02-04 Julia Ackermann , Matthias Ehrhardt , Thomas Kruse , Antoine Tordeux

This manuscript presents a model of compliant contacts for time-critical humanoid robot motion control. The proposed model considers the environment as a continuum of spring-damper systems, which allows us to compute the equivalent contact…

Robotics · Computer Science 2021-06-01 Giulio Romualdi , Stefano Dafarra , Daniele Pucci

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

Compliance is a strong requirement for human-robot interactions. Soft-robots provide an opportunity to cover the lack of compliance in conventional actuation mechanisms, however, the control of them is very challenging given their intrinsic…

Robotics · Computer Science 2021-10-12 Mahmood Mazare , Silvia Tolu , Mostafa Taghizadeh

Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following models with a systematic port-Hamiltonian structure. The model…

Dynamical Systems · Mathematics 2024-06-12 Barbara Rüdiger , Antoine Tordeux , Baris Ugurcan