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We present an estimator-based control design procedure for flow control, using reduced-order models of the governing equations, linearized about a possibly unstable steady state. The reduced models are obtained using an approximate balanced…

最优化与控制 · 数学 2015-05-13 Sunil Ahuja , Clarence W. Rowley

We present an efficient data-driven regression approach for constructing reduced-order models (ROMs) of reaction-diffusion systems exhibiting pattern formation. The ROMs are learned non-intrusively from available training data of physically…

斑图形成与孤子 · 物理学 2025-08-12 Alessandro Alla , Rudy Geelen , Hannah Lu

We introduce a computationally efficient method for the automation of inverse design in science and engineering. Based on simple least-square regression, the underlying dynamic mode decomposition algorithm can be used to construct a…

机器学习 · 计算机科学 2025-02-14 Yunpeng Zhu , Liangliang Cheng , Anping Jing , Hanyu Huo , Ziqiang Lang , Bo Zhang , J. Nathan Kutz

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

Accurate and efficient plasma models are essential to understand and control experimental devices. Existing magnetohydrodynamic or kinetic models are nonlinear, computationally intensive, and can be difficult to interpret, while often only…

等离子体物理 · 物理学 2020-03-04 Alan A. Kaptanoglu , Kyle D. Morgan , Chris J. Hansen , Steven L. Brunton

We present a data-driven nonintrusive model order reduction method for dynamical systems with moving boundaries. The proposed method draws on the proper orthogonal decomposition, Gaussian process regression, and moving least squares…

计算工程、金融与科学 · 计算机科学 2021-03-18 Zhan Ma , Wenxiao Pan

This paper introduces a novel data-driven convergence booster that not only accelerates convergence but also stabilizes solutions in cases where obtaining a steady-state solution is otherwise challenging. The method constructs a…

流体动力学 · 物理学 2025-04-09 Xukun Wang , Yilang Liu , Xiang Yang , Weiwei Zhang

A non-intrusive model order reduction (MOR) method that combines features of the dynamic mode decomposition (DMD) and the radial basis function (RBF) network is proposed to predict the dynamics of parametric nonlinear systems. In many…

A data-driven closure modeling based on proper orthogonal decomposition (POD) temporal modes is used to obtain stable and accurate reduced order models (ROMs) of unsteady compressible flows. Model reduction is obtained via Galerkin and…

流体动力学 · 物理学 2021-09-22 Victor Zucatti , William Wolf

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

Modal decomposition techniques are important tools for the analysis of unsteady flows and, in order to provide meaningful insights with respect to coherent structures and their characteristic frequencies, the modes must possess a robust…

流体动力学 · 物理学 2023-08-24 Lucas F. de Souza , Renato F. Miotto , William R. Wolf

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

We present a data-driven learning approach for unknown nonautonomous dynamical systems with time-dependent inputs based on dynamic mode decomposition (DMD). To circumvent the difficulty of approximating the time-dependent Koopman operators…

数值分析 · 数学 2023-06-28 Hannah Lu , Daniel M. Tartakovsky

We explore a reduced-order model (ROM) of plane Couette flow with a view to performing turbulence control. The ROM is derived through Galerkin projections of the incompressible Navier-Stokes (NS) system onto a basis composed of…

流体动力学 · 物理学 2025-07-09 Igor A. Maia , André V. G. Cavalieri

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

数值分析 · 数学 2017-04-11 Travis Askham , J. Nathan Kutz

This work aims to estimate time-resolved velocity field that is directly associated with pressure fluctuations in a subsonic round jet. To achieve this goal, synchronous measurements of the velocity field and in-flow pressure fluctuations…

流体动力学 · 物理学 2021-06-15 Songqi Li , Lawrence Ukeiley

Resolvent analysis identifies the most responsive forcings and most receptive states of a dynamical system, in an input--output sense, based on its governing equations. Interest in the method has continued to grow during the past decade due…

流体动力学 · 物理学 2021-05-19 Benjamin Herrmann , Peter J. Baddoo , Richard Semaan , Steven L. Brunton , Beverley J. McKeon

This paper presents a data-driven, nested Operator Inference (OpInf) approach for learning physics-informed reduced-order models (ROMs) from snapshot data of high-dimensional dynamical systems. The approach exploits the inherent hierarchy…

机器学习 · 计算机科学 2025-08-18 Nicole Aretz , Karen Willcox

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 paper offers a data-driven approach for designing adaptive suboptimal second-order sliding mode (ASSOSM) controllers for single-input nonlinear systems, characterized by perturbed strict-feedback structures with unknown dynamics. The…

系统与控制 · 电气工程与系统科学 2025-08-05 Behrad Samari , Gian Paolo Incremona , Antonella Ferrara , Abolfazl Lavaei