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In this paper we present control of infinite-dimensional systems by power shaping methods, which have been used extensively for control of finite dimensional systems. Towards achieving the results we work within the Brayton Moser framework,…

偏微分方程分析 · 数学 2014-11-12 Ramkrishna Pasumarthy , Krishna Chaitanya Kosaraju , Addarsh Chandrasekar

We study nonlinear singular optimal control problems of port-Hamil-tonian (descriptor) systems. We employ general control-affine cost functionals that include as a special case the energy supplied to the system. We first derive optimality…

最优化与控制 · 数学 2025-11-27 M. Soledad Aronna , Volker Mehrmann

The main contribution of this paper is the extension of the well-known boundary-control strategy based on structural invariants to the control of infinite-dimensional systems with in-domain actuation. The systems under consideration,…

最优化与控制 · 数学 2021-04-20 Tobias Malzer , Hubert Rams , Markus Schöberl

For a general class of nonlinear port-Hamiltonian systems we develop a high-order time discretization scheme with certain structure preservation properties. The finite or infinite-dimensional system under consideration possesses a…

数值分析 · 数学 2024-07-23 Jan Giesselmann , Attila Karsai , Tabea Tscherpel

The class of port-Hamiltonian systems incorporates many physical models, such as mechanical systems in the finite-dimensional case and wave and beam equations in the infinite-dimensional case. In this paper we study a subclass of linear…

最优化与控制 · 数学 2021-04-27 Birgit Jacob , Hans Zwart

In this letter, we study the energy-optimal control of nonlinear port-Hamiltonian (pH) systems in discrete time. For continuous-time pH systems, energy-optimal control problems are strictly dissipative by design. This property, stating that…

系统与控制 · 电气工程与系统科学 2025-09-03 Arijit Sarkar , Vaibhav Kumar Singh , Manuel Schaller , Karl Worthmann

In this paper, we identify a class of time-varying port-Hamiltonian systems that is suitable for studying problems at the intersection of statistical mechanics and control of physical systems. Those port-Hamiltonian systems are able to…

统计力学 · 物理学 2015-06-16 Jean-Charles Delvenne , Henrik Sandberg

We provide an introduction to infinite-dimensional port-Hamiltonian systems. As this research field is quite rich, we restrict ourselves to the class of infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial…

偏微分方程分析 · 数学 2023-08-04 Birgit Jacob , Hans Zwart

Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as well as transport and Schr\"odinger equations with boundary…

偏微分方程分析 · 数学 2016-04-26 Björn Augner , Birgit Jacob

It is well known that linear and non-linear dissipative port-Hamiltonian systems in finite dimensions admit an energy balance, relating the energy increase in the system with the supplied energy and the dissipated energy. The integrand in…

偏微分方程分析 · 数学 2024-05-29 Friedrich M. Philipp

The mechanical model of a thin plate with boundary control and observation is presented as a port-Hamiltonian system (pHs), both in vectorial and tensorial forms: the Kirchhoff-Love model of a plate is described by using a Stokes-Dirac…

偏微分方程分析 · 数学 2020-10-07 Andrea Brugnoli , Daniel Alazard , Valérie Pommier-Budinger , Denis Matignon

We consider the singular optimal control problem of minimizing the energy supply of linear dissipative port-Hamiltonian descriptor systems subject to control and terminal state constraints. To this end, after reducing the problem to an ODE…

最优化与控制 · 数学 2022-02-16 Timm Faulwasser , Bernhard Maschke , Friedrich Philipp , Manuel Schaller , Karl Worthmann

We propose a new interconnection relation for infinite-dimensional port-Hamiltonian systems that enables the coupling of ports with different spatial dimensions by integrating over the the surplus dimensions. To show the practical…

动力系统 · 数学 2023-01-12 Jens Jäschke , Nathanael Skrepek , Matthias Ehrhardt

In this paper a method of controlling nonholonomic systems within the port-Hamiltonian (pH) framework is presented. It is well known that nonholonomic systems can be represented as pH systems without Lagrange multipliers by considering a…

系统与控制 · 计算机科学 2018-01-23 Joel Ferguson , Alejandro Donaire , Christopher Renton , Richard H. Middleton

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…

系统与控制 · 计算机科学 2017-10-18 Joel Ferguson , Alejandro Donaire , Romeo Ortega , Richard H. Middleton

We propose an open-boundary molecular dynamics method in which an atomistic system is in contact with an infinite particle reservoir at constant temperature, volume and chemical potential. In practice, following the Hamiltonian adaptive…

Port-Hamiltonian (pH) systems offer a highly structured and energy-based modular framework for control systems. Many pH systems exhibit non-polynomial non-linearities. We consider the problem of immersing such systems into a…

系统与控制 · 电气工程与系统科学 2026-03-12 Mohammad Itani , Manuel Schaller , Karl Worthmann , Timm Faulwasser

This paper addresses the regulation and trajectory-tracking problems for two classes of weakly coupled electromechanical systems. To this end, we formulate an energy-based model for these systems within the port-Hamiltonian framework. Then,…

系统与控制 · 电气工程与系统科学 2024-07-12 N. Javanmardi , P. Borja , M. J. Yazdanpanah , J. M. A. Scherpen

Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) on 1-dimensional spatial domains are defined by extending the formulation of reversible BC-PHS to irreversible thermodynamic systems controlled at the boundaries of their…

系统与控制 · 电气工程与系统科学 2023-07-19 Hector Ramirez , Yann Le Gorrec , Bernhard Maschke

In this paper, we develop high-order splitting methods for linear port-Hamiltonian systems, focusing on preserving their intrinsic structure, particularly the dissipation inequality. Port-Hamiltonian systems are characterized by their…

数学物理 · 物理学 2024-09-16 Marius Mönch , Nicole Marheineke