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Related papers: Energy-optimal control of adaptive structures

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This paper presents a passivity-based control framework for AC-DC converters supplying non-passive Information Technology rack loads in DC data centers. Unlike conventional cascaded proportional-integral controllers that ensure stability…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Lizhi Wang , Fei Feng , Ella Chou , Yashen Lin

With this contribution, we give a complete and comprehensive framework for modeling the dynamics of complex mechanical structures as port-Hamiltonian systems. This is motivated by research on the potential of lightweight construction using…

Computational Physics · Physics 2020-08-19 Alexander Warsewa , Michael Böhm , Oliver Sawodny , Cristina Tarín

Quadratic trapping potentials are widely used to experimentally probe biopolymers and molecular machines and drive transitions in steered molecular-dynamics simulations. Approximating energy landscapes as locally quadratic, we design…

Statistical Mechanics · Physics 2022-08-11 Steven Blaber , David A. Sivak

This paper addresses the trajectory-tracking problem for a class of electromechanical systems. To this end, the dynamics of the plants are modeled in the so-called port-Hamiltonian framework. Then, the notion of contraction is exploited to…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Najmeh Javanmardi , Pablo Borja , Jacquelien M. A. Scherpen

In this paper we provide a unifying energy-based approach to the modeling, analysis and control of power systems and markets, which is based on the port-Hamiltonian framework. Using a primal-dual gradient method applied to the social…

Optimization and Control · Mathematics 2016-08-04 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

In this paper, we address energy management for heating, ventilation, and air-conditioning (HVAC) systems in buildings, and present a novel combined optimization and control approach. We first formulate a thermal dynamics and an associated…

Systems and Control · Computer Science 2017-01-23 Takeshi Hatanaka , Xuan Zhang , Wenbo Shi , Minghui Zhu , Na Li

An autonomous adaptive MPC architecture is presented for control of heating, ventilation and air condition (HVAC) systems to maintain indoor temperature while reducing energy use. Although equipment use and occupant changes with time,…

Systems and Control · Electrical Eng. & Systems 2021-02-09 Tingting Zeng , Prabir Barooah

In this paper, we consider infinite-dimensional port-Hamiltonian systems with in-domain actuation by means of an approach based on Stokes-Dirac structures as well as in a framework that exploits an underlying jet-bundle structure. In both…

Optimization and Control · Mathematics 2021-07-29 Tobias Malzer , Jesús Toledo , Yann Le Gorrec , Markus Schöberl

We consider piecewise-deterministic optimal control problems in which the environment randomly switches among several deterministic modes, and the goal is to optimize the expected cost up to the termination while taking the likelihood of…

Optimization and Control · Mathematics 2015-12-31 Zhengdi Shen , Alexander Vladimirsky

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

We examine the minimization of a quadratic cost functional composed of the output and the final state of abstract infinite-dimensional evolution equations in view of existence of solutions and optimality conditions. While the initial value…

Optimization and Control · Mathematics 2024-12-20 Timo Reis , Manuel Schaller

We construct optimally robust port-Hamiltonian realizations of a given rational transfer function that represents a passive system. We show that the realization with a maximal passivity radius is a normalized port-Hamiltonian one. Its…

Optimization and Control · Mathematics 2019-05-01 Volker Mehrmann , Paul Van Dooren

Turnpike phenomena of nonlinear port-Hamiltonian descriptor systems under minimal energy supply are studied. Under assumptions on the smoothness of the system nonlinearities, it is shown that the optimal control problem is dissipative with…

Optimization and Control · Mathematics 2023-01-24 Attila Karsai

In this paper, an approach for active power control of individual wind turbines is presented. State-of-the-art controllers typically employ separate control loops for torque and pitch control. In contrast, we use a multivariable control…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Aaron Grapentin , Arnold Sterle , Jörg Raisch , Christian A. Hans

We study to what extent the detrimental impact of dissipation on quantum properties can be compensated by suitable coherent dynamics. To this end, we develop a general method to determine the control Hamiltonian that optimally counteracts a…

Quantum Physics · Physics 2013-08-05 Simeon Sauer , Clemens Gneiting , Andreas Buchleitner

The modeling framework of port-Hamiltonian descriptor systems and their use in numerical simulation and control are discussed. The structure is ideal for automated network-based modeling since it is invariant under power-conserving…

Dynamical Systems · Mathematics 2022-01-19 Volker Mehrmann , Benjamin Unger

We study $H_\infty$ control design for linear time-invariant port-Hamiltonian systems. By a modification of the two central algebraic Riccati equations, we ensure that the resulting controller will be port-Hamiltonian. Using these modified…

Optimization and Control · Mathematics 2022-06-20 Tobias Breiten , Attila Karsai

This contribution deals with energy-based in-domain control of systems governed by partial differential equations with spatial domain up to dimension two. We exploit a port-Hamiltonian system description based on an underlying jet-bundle…

Optimization and Control · Mathematics 2020-10-21 Tobias Malzer , Hubert Rams , Markus Schöberl

Biological molecular machines convert free energy between different forms in cells, often at high efficiency. Optimal control theory provides a framework to elucidate design principles governing energetically efficient driving. Here, we use…

Biological Physics · Physics 2025-06-12 W. Callum Wareham , David A. Sivak

We consider the problem of minimizing the supplied energy of infinite-dimensional linear port-Hamiltonian systems and prove that optimal trajectories exhibit the turnpike phenomenon towards certain subspaces induced by the dissipation of…

Optimization and Control · Mathematics 2021-05-11 Friedrich Philipp , Manuel Schaller , Timm Faulwasser , Bernhard Maschke , Karl Worthmann