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Spectral decomposition of the Koopman operator is attracting attention as a tool for the analysis of nonlinear dynamical systems. Dynamic mode decomposition is a popular numerical algorithm for Koopman spectral analysis; however, we often…

机器学习 · 计算机科学 2018-01-31 Naoya Takeishi , Yoshinobu Kawahara , Takehisa Yairi

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

The increasing penetration of renewable energy sources, characterised by low inertia and intermittent disturbances, presents substantial challenges to power system stability. As critical indicators of system stability, frequency dynamics…

系统与控制 · 电气工程与系统科学 2025-02-19 Xiao Li , Xinyi Wen , Benjamin Schäfer

Data-driven analysis and control of dynamical systems have gained a lot of interest in recent years. While the class of linear systems is well studied, theoretical results for nonlinear systems are still rare. In this paper, we present a…

系统与控制 · 电气工程与系统科学 2023-11-28 Robin Strässer , Julian Berberich , Frank Allgöwer

In this paper, we propose an efficient data-driven predictive control approach for general nonlinear processes based on a reduced-order Koopman operator. A Kalman-based sparse identification of nonlinear dynamics method is employed to…

系统与控制 · 电气工程与系统科学 2024-04-02 Xuewen Zhang , Minghao Han , Xunyuan Yin

Shipboard carbon capture is a promising solution to help reduce carbon emissions in international shipping. In this work, we propose a data-driven dynamic modeling and economic predictive control approach within the Koopman framework. This…

系统与控制 · 电气工程与系统科学 2025-04-15 Minghao Han , Xunyuan Yin

With the development of end-to-end control based on deep learning, it is important to study new system modeling techniques to realize dynamics modeling with high-dimensional inputs. In this paper, a novel Koopman-based deep convolutional…

系统与控制 · 电气工程与系统科学 2023-08-11 Yongqian Xiao , Xin Xu , QianLi Lin

The analysis of nonlinear dynamical systems based on the Koopman operator is attracting attention in various applications. Dynamic mode decomposition (DMD) is a data-driven algorithm for Koopman spectral analysis, and several variants with…

动力系统 · 数学 2017-10-31 Naoya Takeishi , Yoshinobu Kawahara , Takehisa Yairi

In this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace. The Koopman operator is an infinite-dimensional linear operator that evolves…

动力系统 · 数学 2016-04-27 Steven L. Brunton , Bingni W. Brunton , Joshua L. Proctor , J. Nathan Kutz

A turbocharger plays an essential part in reducing emissions and increasing the fuel efficiency of road vehicles. The pulsating flow of exhaust gases, along with high heat exchange from the turbocharger casing, makes developing…

系统与控制 · 电气工程与系统科学 2022-08-30 Shrenik Zinage , Suyash Jadhav , Yifei Zhou , Ilias Bilionis , Peter Meckl

Despite impressive dexterous manipulation capabilities enabled by learning-based approaches, we are yet to witness widespread adoption beyond well-resourced laboratories. This is likely due to practical limitations, such as significant…

机器人学 · 计算机科学 2023-09-01 Yunhai Han , Mandy Xie , Ye Zhao , Harish Ravichandar

We present a purely data-driven method to pinpoint generation plants that significantly contribute to poorly damped oscillations as part of post-event analysis. First, Extended Dynamic Mode Decomposition (EDMD) is applied on PMU data from…

系统与控制 · 电气工程与系统科学 2025-10-23 Youhong Chen , Debraj Bhattacharjee , Balarko Chaudhuri

The Koopman operator is a mathematical tool that allows for a linear description of non-linear systems, but working in infinite dimensional spaces. Dynamic Mode Decomposition and Extended Dynamic Mode Decomposition are amongst the most…

机器学习 · 计算机科学 2021-03-26 Francesco Zanini , Alessandro Chiuso

Accurate driver behavior modeling is essential for improving the interaction and cooperation of the human driver with the driver assistance system. This paper presents a novel approach for modeling the response of human drivers to visual…

系统与控制 · 电气工程与系统科学 2025-07-08 Mehmet Fatih Ozkan , Jeff Chrstos , Marcello Canova , Stephanie Stockar

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

This paper introduces a method for data-driven control based on the Koopman operator model predictive control. Unlike exiting approaches, the method does not require a dictionary and incorporates a nonlinear input transformation, thereby…

最优化与控制 · 数学 2023-09-22 Vít Cibulka , Milan Korda , Tomáš Haniš

This paper presents a study of the Koopman operator theory and its application to optimal control of a multi-robot system. The Koopman operator, while operating on a set of observation functions of the state vector of a nonlinear system,…

系统与控制 · 电气工程与系统科学 2023-05-09 Gang Tao , Qianhong Zhao

Recurrent neural networks are widely used on time series data, yet such models often ignore the underlying physical structures in such sequences. A new class of physics-based methods related to Koopman theory has been introduced, offering…

计算物理 · 物理学 2020-07-01 Omri Azencot , N. Benjamin Erichson , Vanessa Lin , Michael W. Mahoney

As wind power penetration increases, the wind farms are required by newly released grid codes to provide frequency regulation service. The most critical challenge is how to formulate the dynamic model of wind farm for dynamic control, since…

系统与控制 · 电气工程与系统科学 2020-12-08 Zizhen Guo , Wenchuan Wu

We consider the problem of reconstructing the dynamic state matrix of transmission power grids from time-stamped PMU measurements in the regime of ambient fluctuations. Using a maximum likelihood based approach, we construct a family of…

系统与控制 · 计算机科学 2017-10-31 Andrey Y. Lokhov , Marc Vuffray , Dmitry Shemetov , Deepjyoti Deka , Michael Chertkov