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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

In the design of complex quantum systems like ion traps for quantum computing, it is usually desired to stabilize a particular system state or make the system state track a desired trajectory. Several control theoretical approaches based on…

Systems and Control · Computer Science 2012-11-26 K. P. Nagarjun , S. Sivaranjani , George Koshy

Quantum control of the wave function of two interacting electrons confined in quasi-one-dimensional double-well semiconductor structures is demonstrated. The control strategies are based on the knowledge of the energy spectrum as a function…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. E. Murgida , D. A. Wisniacki , P. I. Tamborenea

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

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…

Systems and Control · Computer Science 2017-02-09 Rodolfo Reyes-Báez , Arjan van der Schaft , Bayu Jayawardhana

The energy Casimir method is an effective controller design approach to stabilize port-Hamiltonian systems at a desired equilibrium. However, its application relies on the availability of suitable Casimir and Lyapunov functions, whose…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Liang Xu , Muhammad Zakwan , Giancarlo Ferrari-Trecate

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 work we exploit the universal approximation property of Neural Networks (NNs) to design interconnection and damping assignment (IDA) passivity-based control (PBC) schemes for fully-actuated mechanical systems in the port-Hamiltonian…

Systems and Control · Electrical Eng. & Systems 2022-03-28 Santiago Sanchez-Escalonilla , Rodolfo Reyes-Baez , Bayu Jayawardhana

In this paper, we prove the exponential stability property of a class of mechanical systems represented in the port-Hamiltonian framework. To this end, we propose a Lyapunov candidate function different from the Hamiltonian of the system.…

Systems and Control · Electrical Eng. & Systems 2021-10-25 Carmen Chan-Zheng , Pablo Borja , Nima Monshizadeh , Jacquelien M. A. Scherpen

In this paper we present a method to robustify energy-shaping controllers for port-Hamiltonian (pH) systems by adding an integral action that rejects unknown additive disturbances. The proposed controller preserves the pH structure and, by…

Systems and Control · Computer Science 2017-10-18 Joel Ferguson , Alejandro Donaire , Romeo Ortega , Richard H. Middleton

We investigate control problems for wave-Petrovsky coupled systems in the presence of memory terms. By writing the solutions as Fourier series, we are able to prove Ingham type estimates, and hence reachability results. Our findings have…

Analysis of PDEs · Mathematics 2013-09-19 Paola Loreti , Daniela Sforza

This article proposes a distributed secondary control scheme that drives a dc microgrid to an equilibrium point where the generators share optimal currents, and their voltages have a weighted average of nominal value. The scheme does not…

Optimization and Control · Mathematics 2023-01-23 Babak Abdolmaleki , Gilbert Bergna-Diaz

This work addresses the control and navigation of a simulated two-dimensional electric rocket. The model provides a simplified framework that neglects actuator dynamics and aerodynamic effects while capturing the complexities of…

Systems and Control · Electrical Eng. & Systems 2025-09-25 André Fonte , Pedro Santos , Paulo Oliveira

Although the stabilization of underactuated systems remains a challenging problem, the total energy shaping approach provides a general framework for addressing this objective. However, the practical implementation of this method is…

Systems and Control · Electrical Eng. & Systems 2026-05-12 M. Reza J. Harandi , Mehrzad Namvar

We study port-Hamiltonian systems with two external ports, and the strategies and limitations for conversion of energy from one port into the other. It turns out that, apart from the cyclo-passivity of port-Hamiltonian systems, this is…

Optimization and Control · Mathematics 2021-03-17 Arjan Van der Schaft , Dimitri Jeltsema

This paper presents a data-driven Model Predictive Control (MPC) for energy-efficient urban road driving for connected, automated vehicles. The proposed MPC aims to minimize total energy consumption by controlling the vehicle's longitudinal…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Eunhyek Joa , Eric Yongkeun Choi , Francesco Borrelli

This paper studies the problem of frequency regulation in power grids, while maximizing the social welfare. Two price-based controllers are proposed; the first one an internal-model-based controller and the second one based on a continuous…

Optimization and Control · Mathematics 2015-09-25 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

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

As electric vehicles (EVs) are increasingly adopted as platforms for connected and automated vehicles (CAVs), enhancing their energy efficiency becomes critical. With the emergence of vehicle-to-vehicle (V2V) communication, cooperative…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Hamed Faghihian , Parisa Ansari Bonab , Arman Sargolzaei

Model-reference adaptive systems refer to a consortium of techniques that guide plants to track desired reference trajectories. Approaches based on theories like Lyapunov, sliding surfaces, and backstepping are typically employed to advise…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Mohammed Abouheaf , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan