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A data-driven and equation-free approach is proposed and discussed to model ships maneuvers in waves, based on the dynamic mode decomposition (DMD). DMD is a dimensionality-reduction/reduced-order modeling method, which provides a linear…

动力系统 · 数学 2021-05-28 Matteo Diez , Andea Serani , Emilio F. Campana , Frederick Stern

In order to guarantee the safety of payload, crew, and structures, ships must exhibit good seakeeping, maneuverability, and structural-response performance, also when they operate in adverse weather conditions. In this context, the…

动力系统 · 数学 2022-11-08 Andrea Serani , Paolo Dragone , Frederick Stern , Matteo Diez

This article presents the data-driven equation-free modeling of the dynamics of a hexafloat floating offshore wind turbine based on the application of dynamic mode decomposition (DMD). All the analyses are performed on experimental data…

In this study, we present and validate an ensemble-based Hankel Dynamic Mode Decomposition with control (HDMDc) for uncertainty-aware seakeeping predictions of a high-speed catamaran, namely the Delft 372 model. Experimental measurements…

系统与控制 · 电气工程与系统科学 2025-12-22 Giorgio Palma , Andrea Serani , Matteo Diez

This study addresses the system identification of a small autonomous surface vehicle (ASV) under moored conditions using Hankel dynamic mode decomposition with control (HDMDc) and its Bayesian extension (BHDMDc). Experiments were carried…

系统与控制 · 电气工程与系统科学 2025-11-06 Giorgio Palma , Ivan Santic , Andrea Serani , Lorenzo Minno , Matteo Diez

This paper discusses the predictive capability of Dynamic Mode Decomposition (DMD) in the context of orbital mechanics. The focus is specifically on the Hankel variant of DMD which uses a stacked set of time-delayed observations for system…

系统与控制 · 电气工程与系统科学 2026-02-26 Sriram Narayanan , Mohamed Naveed Gul Mohamed , Indranil Nayak , Suman Chakravorty , Mrinal Kumar

Dynamic mode decomposition (DMD) has emerged as a popular data-driven modeling approach to identifying spatio-temporal coherent structures in dynamical systems, owing to its strong relation with the Koopman operator. For dynamical systems…

信号处理 · 电气工程与系统科学 2021-10-26 Manu Krishnan , Serkan Gugercin , Pablo A. Tarazaga

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

最优化与控制 · 数学 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

Modeling wave energy converters (WECs) to accurately predict their hydrodynamic behavior has been a challenge for the wave energy field. Often, this results in either low-fidelity, linear models that break down in energetic seas, or…

流体动力学 · 物理学 2023-06-07 Brittany Lydon , Brian Polagye , Steven Brunton

The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying dynamics using measured time-domain data produced either by…

数值分析 · 数学 2020-11-24 Ion Victor Gosea , Igor Pontes Duff

While the acquisition of time series has become more straightforward, developing dynamical models from time series is still a challenging and evolving problem domain. Within the last several years, to address this problem, there has been a…

机器学习 · 计算机科学 2023-07-19 Christopher W. Curtis , D. Jay Alford-Lago , Erik Bollt , Andrew Tuma

Separating the effects of waves and turbulence in oceanographic time series is an ongoing challenge because surface wave motion and turbulence fluctuations can occur at overlapping frequencies. Therefore, simple bandpass filters cannot…

流体动力学 · 物理学 2025-01-20 Julio Chávez-Dorado , Isabel Scherl , Michelle DiBenedetto

Dynamic mode decomposition (DMD) is a popular technique for modal decomposition, flow analysis, and reduced-order modeling. In situations where a system is time varying, one would like to update the system's description online as time…

最优化与控制 · 数学 2017-07-11 Hao Zhang , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta

The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

动力系统 · 数学 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago

Efficiently estimating system dynamics from data is essential for minimizing data collection costs and improving model performance. This work addresses the challenge of designing future control inputs to maximize information gain, thereby…

系统与控制 · 电气工程与系统科学 2025-04-29 Joshua Ott , Mykel J. Kochenderfer , Stephen Boyd

We demonstrate the application of the Dynamic Mode Decomposition (DMD) for the diagnostic analysis of the nonlinear dynamics of a magnetized plasma in resistive magnetohydrodynamics. The DMD method is an ideal spatio-temporal matrix…

等离子体物理 · 物理学 2018-05-23 Roy Taylor , J. Nathan Kutz , Kyle Morgan , Brian Nelson

Structural damage detection using non-contact sensing remains a challenging problem in structural health monitoring. This study presents a data-driven framework based on Dynamic Mode Decomposition (DMD) for extracting structural dynamics…

系统与控制 · 电气工程与系统科学 2026-05-05 R K B M Rizmi , Shabbir Ahmed

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

系统与控制 · 计算机科学 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

This work studies the problem of predicting the loads and motions induced by wave systems on a ship in forward motion (seakeeping). Assuming that the hull is rigid, the motion of the ship is described by the equations of rigid body…

流体动力学 · 物理学 2025-04-11 Andrea Colagrossi

Dynamic mode decomposition (DMD) is a powerful data-driven technique for construction of reduced-order models of complex dynamical systems. Multiple numerical tests have demonstrated the accuracy and efficiency of DMD, but mostly for…

数值分析 · 数学 2021-07-28 Hannah Lu , Daniel M. Tartakovsky
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