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The relationships between port-Hamiltonian systems modeling and the notion of monotonicity are explored. The earlier introduced notion of incrementally port-Hamiltonian systems is extended to maximal cyclically monotone relations, together…

Optimization and Control · Mathematics 2022-06-22 M. Kanat Camlibel , Arjan van der Schaft

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

This paper proposes a generalized passivity sensitivity analysis for power system stability studies. The method uncovers the most effective instability mitigation actions for both device-level and system-level investigations. The particular…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Dongyeong Lee , Francisco Javier Cifuentes Garcia , Jef Beerten

This manuscript introduces a passivity-based integral control approach for fully-actuated mechanical systems. The novelty of our methodology is that we exploit the gyroscopic forces of the mechanical systems to exponentially stabilize the…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Carmen Chan-Zheng , Mauricio Muñoz-Arias , Jacquelien M. A. Scherpen

Control theory often takes the mathematical model of the to-be-control-led system for granted. In contrast, port-Hamiltonian systems theory bridges the gap between modelling and control for physical systems. It provides a unified framework…

Optimization and Control · Mathematics 2024-12-30 Arjan van der Schaft

In this paper, we investigate a class of port-Hamiltonian systems with singular vector fields. We show that, under suitable conditions, their interconnection with passive systems ensures convergence to a prescribed non-equilibrium steady…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Henrik Sandberg , Kamil Hassan , Heng Wu

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 presents a novel passivity-based semi-autonomous attitude control framework, with a particular focus on attitude kinematics defined on the special orthogonal group $SO(3)$. While human-robot interaction facilitates the successful…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Reiji Terunuma , Yuta Nakamura , Takeshi Hatanaka

This manuscript introduces a passivity-based control methodology for fully-actuated mechanical systems with symmetric or asymmetric dead-zones. To this end, we find a smooth approximation of the inverse of the function that describes such a…

Systems and Control · Electrical Eng. & Systems 2022-11-04 Carmen Chan-Zheng , Pablo Borja , Jacquelien M. A Scherpen

Grid-forming inverters control the power transfer between the AC and DC sides of an electrical grid while maintaining the frequency and voltage of the AC side. This paper focuses on ensuring large-signal stability of an electrical grid with…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Jared Miller , Maitraya Avadhut Desai , Xiuqiang He , Roy S. Smith , Gabriela Hug

The concept of passivity is central to analyze circuits as interconnections of passive components. We illustrate that when used differentially, the same concept leads to an interconnection theory for electrical circuits that switch and…

Systems and Control · Computer Science 2018-04-13 Felix A. Miranda-Villatoro , Fulvio Forni , Rodolphe Sepulchre

This paper presents an admittance controller based on the passivity theory for a powered upper-limb exoskeleton robot which is governed by the nonlinear equation of motion. Passivity allows us to include a human operator and environmental…

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

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

In this paper, we study the identification problem of a passive system from tangential interpolation data. We present a simple construction approach based on the Mayo-Antoulas generalized realization theory that automatically yields a…

Systems and Control · Electrical Eng. & Systems 2019-11-04 Peter Benner , Pawan Goyal , Paul Van Dooren

To extend the realm of application of the well known controller design technique of interconnection and damping assignment passivity-based control (IDA-PBC) of mechanical systems two modifications to the standard method are presented in…

Optimization and Control · Mathematics 2015-06-26 Alejandro Donaire , Romeo Ortega , Jose Guadalupe Romero

Safe and compliant control of dynamic systems in interaction with the environment, e.g., in shared workspaces, continues to represent a major challenge. Mismatches in the dynamic model of the robots, numerical singularities, and the…

Robotics · Computer Science 2023-11-28 Carlo Tiseo , Wolfgang Merkt , Wouter Wolfslag , Sethu Vijayakumar , Michael Mistry

Passivity theory is one of the cornerstones of control theory, as it allows one to prove stability of a large-scale system while treating each component separately. In practice, many systems are not passive, and must be passivized in order…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Miel Sharf , Daniel Zelazo

Passivity theory has recently contributed to developing decentralized control schemes for large-scale systems. Many decentralized passivity-based control schemes are designed in continuous-time. It is well-known, however, that the passivity…

Systems and Control · Electrical Eng. & Systems 2021-07-16 Ahmed Aboudonia , Andrea Martinelli , John Lygeros

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li