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The varied and complex dynamics of real-world systems challenge the formulation of a systematic strategy for designing a stabilizing feedback law. Rather than taking a universal approach, the control strategies developed thus far to handle…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Syed Shadab Nayyer , Sushama R. Wagh , Navdeep M. Singh

This paper addresses forward motion control for trajectory tracking and mobile formation coordination for a group of non-holonomic vehicles on SE(2). Firstly, by constructing an intermediate attitude variable which involves vehicles'…

Systems and Control · Computer Science 2019-03-01 Xiuhui Peng , Zhiyong Sun , Kexin Guo , Zhiyong Geng

A PDE-based control concept is developed to deploy a multi-agent system into desired formation profiles. The dynamic model is based on a coupled linear, time-variant parabolic distributed parameter system. By means of a particular coupling…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Gerhard Freudenthaler , Thomas Meurer

In this article, we investigate the model based position control of soft hydraulic actuators arranged in an antagonistic pair. A dynamical model of the system is constructed by employing the port-Hamiltonian formulation. A control algorithm…

Robotics · Computer Science 2023-03-06 Mark Runciman , Enrico Franco , James Avery , Ferdinando Rodriguez y Baena , George Mylonas

This paper addresses the attitude tracking of a rigid body using a quaternion description. Global finite-time attitude controllers are designed with three types of measurements, namely, full states, attitude plus constant-biased angular…

Optimization and Control · Mathematics 2017-12-12 Haichao Gui , George Vukovich

This paper studies robust output tracking and disturbance rejection for boundary controlled infinite-dimensional port--Hamiltonian systems including second order models such as the Euler--Bernoulli beam. The control design is achieved using…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen , Yann Le Gorrec , Héctor Ramírez

Orbit-attitude hovering of a spacecraft at the natural relative equilibria in the body-fixed frame of a uniformly rotating asteroid is discussed in the framework of the full spacecraft dynamics, in which the spacecraft is modeled as a rigid…

Earth and Planetary Astrophysics · Physics 2014-08-26 Yue Wang , Shijie Xu

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…

Optimization and Control · Mathematics 2026-02-17 Till Preuster , Hannes Gernandt , Manuel Schaller

This Technical Note presents a simple control approach for global trajectory tracking and formation control of underactuated surface vessels equipped with only two propellers. The control approach exploits the inherent cascaded structure of…

Systems and Control · Electrical Eng. & Systems 2025-03-31 Bo Wang , Antonio Loria

Based on recent advances in contraction methods in systems and control, in this paper we present the virtual differential passivity based control (v-dPBC) technique. This is a constructive design method that combines the concept of virtual…

Systems and Control · Computer Science 2017-11-02 Rodlfo Reyes-Báez , Arjan van der Schaft , Bayu Jayawardhana

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…

Machine Learning · Computer Science 2023-02-15 Sølve Eidnes , Alexander J. Stasik , Camilla Sterud , Eivind Bøhn , Signe Riemer-Sørensen

In this work we present a constructive method to design a family of virtual contraction based controllers that solve the standard trajectory tracking problem of flexible-joint robots (FJRs) in the port-Hamiltonian (pH) framework. The…

Systems and Control · Electrical Eng. & Systems 2020-02-06 Rodolfo Reyes-Báez , Arjan van der Schaft , Bayu Jayawardhana , Le Pan

Distributed Port-Hamiltonian (dPHS) theory provides a powerful framework for modeling physical systems governed by partial differential equations and has enabled a broad class of boundary control methodologies. Their effectiveness, however,…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Thomas Beckers , Leonardo Colombo

In this note, we consider port-Hamiltonian structures in numerical optimal control of ordinary differential equations. By introducing a novel class of nonlinear monotone port-Hamiltonian (pH) systems, we show that the primal-dual gradient…

Optimization and Control · Mathematics 2024-12-17 Hannes Gernandt , Manuel Schaller

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

Most passivity based trajectory tracking algorithms for mechanical systems can only stabilise reference trajectories that have constant energy. This paper overcomes this limitation by deriving a single variable Hamiltonian model for the…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Robert Mahony

Robust output tracking is addressed in this paper for a heat equation with Neumann boundary conditions and anti-collocated boundary input and output. The desired reference tracking is solved using the well-known flatness and Lyapunov…

Optimization and Control · Mathematics 2022-04-27 Diego Gutiérrez-Oribio , Yury Orlov , Ioannis Stefanou , Franck Plestan

We develop two local energy methods for distributed parameter port-Hamiltonian (pH) systems on one-dimensional spatial domains. The methods are applied to derive a characterization of exponential stability directly in terms of the energy…

Optimization and Control · Mathematics 2025-12-01 Marco Roschkowski , Hannes Gernandt

Port-Hamiltonian systems provide an energy-based formulation with a model class that is closed under structure preserving interconnection. For continuous-time systems these interconnections are constructed by geometric objects called Dirac…

Optimization and Control · Mathematics 2023-08-21 Karim Cherifi , Hannes Gernandt , Dorothea Hinsen , Volker Mehrmann

In this paper, we examine the shifted passivity property of port-Hamiltonian systems. Shifted passivity accounts for the fact that in many applications the desired steady-state values of the input and output variables are nonzero, and thus…

Systems and Control · Computer Science 2017-11-27 Nima Monshizadeh , Pooya Monshizadeh , Romeo Ortega , Arjan van der Schaft