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相关论文: Port-Hamiltonian System Identification from Noisy …

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The relation between passive and positive real systems has been extensively studied in the literature. In this paper, we study their connection to the more recently used notion of port-Hamiltonian descriptor systems. It is well-known that…

最优化与控制 · 数学 2022-11-01 Karim Cherifi , Hannes Gernandt , Dorothea Hinsen

We consider how to characterize the dynamics of a quantum system from a restricted set of initial states and measurements using Bayesian analysis. Previous work has shown that Hamiltonian systems can be well estimated from analysis of noisy…

量子物理 · 物理学 2014-03-04 S. G. Schirmer , D. K. L. Oi

We study fault identification in discrete-time nonlinear systems subject to additive Gaussian white noise. We introduce a Bayesian framework that explicitly accounts for unmodeled faults under reasonable assumptions. Our approach hinges on…

系统与控制 · 电气工程与系统科学 2025-09-08 Chun-Wei Kong , Jay McMahon , Morteza Lahijanian

Precise identification of parameters governing quantum processes is a critical task for quantum information and communication technologies. In this work we consider a setting where system evolution is determined by a parameterized…

量子物理 · 物理学 2014-08-27 Jun Zhang , Mohan Sarovar

We extend the modeling framework of port-Hamiltonian descriptor systems to include under- and over-determined systems and arbitrary differentiable Hamiltonian functions. This structure is associated with a Dirac structure that encloses its…

最优化与控制 · 数学 2019-03-26 Volker Mehrmann , Riccardo Morandin

Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings, non-trivial domains and diverse nonlinearities. A major…

动力系统 · 数学 2024-03-15 Philipp L. Kinon , Tobias Thoma , Peter Betsch , Paul Kotyczka

The modeling framework of port-Hamiltonian systems is systematically extended to constrained dynamical systems (descriptor systems, differential-algebraic equations). A new algebraically and geometrically defined system structure is…

最优化与控制 · 数学 2017-08-29 Christopher Beattie , Volker Mehrmann , Hongguo Xu , Hans Zwart

The problem of estimating the $\mathcal{H}_\infty$-norm of an LTI system from noisy input/output measurements has attracted recent attention as an alternative to parameter identification for bounding unmodeled dynamics in robust control. In…

最优化与控制 · 数学 2018-10-01 Stephen Tu , Ross Boczar , Benjamin Recht

In this contribution, we propose a kernel-based method for the identification of linear systems from noisy and incomplete input-output datasets. We model the impulse response of the system as a Gaussian process whose covariance matrix is…

系统与控制 · 计算机科学 2017-01-18 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

We introduce a robust framework for learning various generalized Hamiltonian dynamics from noisy, sparse phase-space data and in an unsupervised manner based on variational Bayesian inference. Although conservative, dissipative, and…

机器学习 · 计算机科学 2025-09-10 Luke McLennan , Yi Wang , Ryan Farell , Minh Nguyen , Chandrajit Bajaj

This paper presents a structure-preserving Bayesian approach for learning nonseparable Hamiltonian systems using stochastic dynamic models allowing for statistically-dependent, vector-valued additive and multiplicative measurement noise.…

机器学习 · 统计学 2024-07-23 Nicholas Galioto , Harsh Sharma , Boris Kramer , Alex Arkady Gorodetsky

System identification is of special interest in science and engineering. This article is concerned with a system identification problem arising in stochastic dynamic systems, where the aim is to estimate the parameters of a system along…

统计方法学 · 统计学 2022-01-27 Christos Merkatas , Simo Särkkä

This paper investigates the problem of data-driven modeling of port-Hamiltonian systems while preserving their intrinsic Hamiltonian structure and stability properties. We propose a novel neural-network-based port-Hamiltonian modeling…

系统与控制 · 电气工程与系统科学 2026-04-16 Binh Nguyen , Nam T. Nguyen , Truong X. Nghiem

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

Identifying parameters in a system of nonlinear, ordinary differential equations is vital for designing a robust controller. However, if the system is stochastic in its nature or if only noisy measurements are available, standard…

系统与控制 · 电气工程与系统科学 2022-10-10 Tobias Nagel , Marco F. Huber

In this paper, we present finite-dimensional port-Hamiltonian system (PHS) models of a gas pipeline and a network comprising several pipelines for the purpose of control design and stability analysis. Starting from the partial differential…

系统与控制 · 电气工程与系统科学 2023-11-27 Albertus J. Malan , Lukas Rausche , Felix Strehle , Sören Hohmann

When measurements from dynamical systems are noisy, it is useful to have estimation algorithms that have low sensitivity to measurement noises and outliers. In the first set of results described in this paper we obtain optimal estimators…

系统与控制 · 电气工程与系统科学 2022-09-20 Krishan Mohan Nagpal

This paper presents a systematic observer design methodology for a class of port-Hamiltonian (pH) systems with state-dependent input matrices. Such systems can model a wide range of electromechanical systems, including magnetic levitation…

最优化与控制 · 数学 2026-04-06 Filippo Ugolini , Ning Liu , Yongxin Wu , Yann Le Gorrec , Alessandro Macchelli

This work proposes PH-based metrics for benchmarking impedance control. A causality-consistent PH model is introduced for mass-spring-damper impedance in Cartesian space. Based on this model, a differentiable, force-torque…

机器人学 · 计算机科学 2025-12-09 Leonardo F. Dos Santos , Elisa G. Vergamini , Cícero Zanette , Lucca Maitan , Thiago Boaventura

We present a novel model-order reduction (MOR) method for linear time-invariant systems that preserves passivity and is thus suited for structure-preserving MOR for port-Hamiltonian (pH) systems. Our algorithm exploits the well-known…

动力系统 · 数学 2021-08-30 Tobias Breiten , Benjamin Unger