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We present Stochastic Dynamic Mode Decomposition (SDMD), a novel data-driven framework for approximating the Koopman semigroup in stochastic dynamical systems. Unlike existing methods, SDMD explicitly incorporates sampling time into its…

Flexible manufacturing has been the trend in the area of the modern chemical process nowadays. One of the essential characteristics of flexible manufacturing is to track time-varying target trajectories (e.g. diversity and quantity of…

系统与控制 · 电气工程与系统科学 2021-05-13 Lai Wei , Ryan Mccloy , Jie Bao

The absolute requirement to increase the amount of energy generation from renewable sources e.g. predominantly asynchronously connected wind turbines and photovoltaic installations, may in practice during transient events (where frequency…

系统与控制 · 电气工程与系统科学 2019-08-14 Marios Zarifakis , William T. Coffey , Yuri P. Kalmykov , Serguey V. Titov , Declan J. Byrne , Stephen J. Carrig

Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and predict systems. However, in practical applications, the…

系统与控制 · 电气工程与系统科学 2024-10-07 Ningxin Liu , Shuigen Liu , Xin T. Tong , Lijian Jiang

An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage…

最优化与控制 · 数学 2019-10-10 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

Frequency performance has been a crucial issue for islanded microgrids. On the one hand, most distributed energy resources (DER) are converter-interfaced and do not inherently respond to frequency variations. On the other hand, current…

系统与控制 · 计算机科学 2018-09-12 Yichen Zhang , Alexander M. Melin , Seddik M. Djouadi , Mohammed M. Olama , Kevin Tomsovic

The problem of open-loop dynamical control of generic open quantum systems is addressed. In particular, I focus on the task of effectively switching off environmental couplings responsible for unwanted decoherence and dissipation effects.…

量子物理 · 物理学 2016-11-18 Lorenza Viola

The theory of dual control was introduced more than seven decades ago. Although it has provided rich insights to the fields of control, estimation, and system identification, dual control is generally computationally prohibitive. In recent…

系统与控制 · 电气工程与系统科学 2024-05-06 Mohammad S. Ramadan , Mihai Anitescu

Water desalination plants (DPs) are among the most critical infrastructures and largest electricity loads in water-scarce regions worldwide. Although reverse osmosis (RO) desalination is the most energy-efficient and dominant technology, it…

系统与控制 · 电气工程与系统科学 2026-01-13 Rongxing Hu , Charalambos Konstantinou

The Koopman operator is a linear, infinite-dimensional operator that governs the dynamics of system observables; Extended Dynamic Mode Decomposition (EDMD) is a data-driven method for approximating the Koopman operator using functions…

数值分析 · 数学 2019-05-21 Anthony M. DeGennaro , Nathan M. Urban

We augment existing generator-side primary frequency control with load-side control that are local, ubiquitous, and continuous. The mechanisms on both the generator and the load sides are decentralized in that their control decisions are…

系统与控制 · 计算机科学 2014-03-25 Changhong Zhao , Steven Low

Dynamic Mode Decomposition (DMD) is a technique to approximate generally non-linear dynamical systems using linear techniques, which are better understood and easier to analyze. Koopman theory extends DMD by transforming the original system…

最优化与控制 · 数学 2022-11-15 Sourya Dey

Due to the fluctuating nature of the wind and the increasing use of wind energy as a power source, wind power will have an increasing negative influence on the stability of the power grid. In this paper, a model predictive control strategy…

系统与控制 · 电气工程与系统科学 2020-07-14 Valentijn van de Scheur , Sjoerd Boersma

With the current trend of increasing complexity of industrial systems, the construction and monitoring of health indicators becomes even more challenging. Given that health indicators are commonly employed to predict the end of life, a…

系统与控制 · 电气工程与系统科学 2023-08-04 Sergei Garmaev , Olga Fink

In this paper, we present a model-based frequency controller for microgrids with nonzero line resistances based on a port-Hamiltonian formulation of the microgrid model and real-time dynamic pricing. The controller is applicable for…

系统与控制 · 电气工程与系统科学 2019-10-09 Lukas Kölsch , Manuel Dupuis , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

Residual Dynamic Mode Decomposition (ResDMD) offers a method for accurately computing the spectral properties of Koopman operators. It achieves this by calculating an infinite-dimensional residual from snapshot data, thus overcoming issues…

动力系统 · 数学 2024-03-12 Matthew J. Colbrook

The Koopman Mode Decomposition (KMD) is a data-analysis technique which is often used to extract the spatio-temporal patterns of complex flows. In this paper, we use KMD to study the dynamics of the lid-driven flow in a two-dimensional…

流体动力学 · 物理学 2018-01-03 Hassan Arbabi , Igor Mezić

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

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

动力系统 · 数学 2024-08-06 George Haller , Bálint Kaszás

This paper presents a data-driven method for constructing a Koopman linear model based on the Direct Encoding (DE) formula. The prevailing methods, Dynamic Mode Decomposition (DMD) and its extensions are based on least squares estimates…

机器学习 · 计算机科学 2023-01-18 Jerry Ng , Haruhiko Harry Asada
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