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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

Piecewise-linear nonlinear systems appear in many engineering disciplines. Prediction of the dynamic behavior of such systems is of great importance from practical and theoretical viewpoint. In this paper, a data-driven model order…

动力系统 · 数学 2026-03-19 Akira Saito , Masato Tanaka

The identification of reduced-order models from high-dimensional data is a challenging task, and even more so if the identified system should not only be suitable for a certain data set, but generally approximate the input-output behavior…

系统与控制 · 计算机科学 2017-12-25 Peter Benner , Christian Himpe , Tim Mitchell

We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection.…

计算物理 · 物理学 2015-06-12 Mehdi Ghommem , Victor M. Calo , Yalchin Efendiev

In this work, we present a method which determines optimal multi-step dynamic mode decomposition (DMD) models via entropic regression, which is a nonlinear information flow detection algorithm. Motivated by the higher-order DMD (HODMD)…

机器学习 · 统计学 2024-06-19 Christopher W. Curtis , Erik Bollt , Daniel Jay Alford-Lago

This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

动力系统 · 数学 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

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

Dynamic Mode Decomposition (DMD) is a model-order reduction approach, whereby spatial modes of fixed temporal frequencies are extracted from numerical or experimental data sets. The DMD low-rank or reduced operator is typically obtained by…

数值分析 · 数学 2023-01-25 Quincy A. Huhn , Mauricio E. Tano , Jean C. Ragusa , Youngsoo Choi

We apply the proper orthogonal decomposition (POD) to large eddy simulation data of a wind turbine wake in a turbulent atmospheric boundary layer. The turbine is modeled as an actuator disk. Our analyis mainly focuses on the question…

流体动力学 · 物理学 2015-03-11 David Bastine , Björn Witha , Matthias Wächter , Joachim Peinke

Dynamic Mode Decomposition (DMD) has received increasing research attention due to its capability to analyze and model complex dynamical systems. However, it faces challenges in computational efficiency, noise sensitivity, and difficulty…

机器学习 · 计算机科学 2025-02-20 Biqi Chen , Ying Wang

Model order reduction (MOR) has long been a mainstream strategy to accelerate large-scale transient circuit simulation. Dynamic Mode Decomposition (DMD) represents a novel data-driven characterization method, extracting dominant dynamical…

信号处理 · 电气工程与系统科学 2025-08-06 Na Liu , Chengliang Dai , Qiuyue Wu , Qiuqi Li , Guoxiong Cai

Dynamic mode decomposition (DMD) is an emerging methodology that has recently attracted computational scientists working on nonintrusive reduced order modeling. One of the major strengths that DMD possesses is having ground theoretical…

数值分析 · 数学 2022-01-12 Shady E. Ahmed , Omer San , Diana A. Bistrian , Ionel M. Navon

A novel dynamic mode decomposition (DMD) method based on a Kalman filter is proposed. This paper explains the fast algorithm of the proposed Kalman filter DMD (KFDMD) in combination with truncated proper orthogonal decomposition for…

流体动力学 · 物理学 2018-11-09 Taku Nonomura , Hisaichi Shibata , Ryoji Takaki

We establish the convergence of a class of numerical algorithms, known as Dynamic Mode Decomposition (DMD), for computation of the eigenvalues and eigenfunctions of the infinite-dimensional Koopman operator. The algorithms act on data…

动力系统 · 数学 2017-11-21 Hassan Arbabi , Igor Mezić

Current wind turbine simulations successfully use turbulence generating tools for modeling behavior. However, they lack the ability to reproduce variabilities in wind dynamics and inherent stochastic structures (like temporal and spatial…

数值分析 · 数学 2016-03-29 Qiang Guo , Daniel Rajewski , Eugene Takle , Baskar Ganapathysubramanian

This work continues the parametric investigation on the sampling nuances of the Dynamic Mode Decomposition (DMD) under the Koopman analysis. Through turbulent wakes, the investigation corroborated the generality of the universal convergence…

The interaction of multiple fluids through a heterogeneous pore space leads to complex pore-scale flow dynamics, such as intermittent pathway flow. The non-local nature of these dynamics, and the size of the 4D datasets acquired to capture…

地球物理 · 物理学 2024-09-24 Aman Raizada , Steffen Berg , Sally M. Benson , Hamdi A. Tchelepi , Catherine Spurin

Floating Offshore Wind Turbines (FOWTs) are more prone to suffer from faults and failures than bottom-fixed counterparts due to the severe wind and wave loads typical of deep water sites. In particular, mooring line faults may lead to…

系统与控制 · 电气工程与系统科学 2020-12-30 Yichao Liu , Alessandro Fontanella , Ping Wu , Riccardo M. G. Ferrari , Jan-Willem van Wingerden

This paper discusses a framework to design elements of the plant and control systems for floating offshore wind turbines in an integrated manner using linear parameter-varying models. Multiple linearized models derived from aeroelastic…

系统与控制 · 电气工程与系统科学 2023-11-09 Athul Krishna Sundarrajan , Yong Hoon Lee , James T Allison , Daniel Zalkind , Daniel Herber

We propose a new method for computing Dynamic Mode Decomposition (DMD) evolution matrices, which we use to analyze dynamical systems. Unlike the majority of existing methods, our approach is based on a variational formulation consisting of…

数值分析 · 数学 2019-05-24 Omri Azencot , Wotao Yin , Andrea Bertozzi