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Extended Dynamic Mode Decomposition (EDMD) is a popular data-driven method to approximate the action of the Koopman operator on a linear function space spanned by a dictionary of functions. The accuracy of EDMD model critically depends on…

系统与控制 · 电气工程与系统科学 2022-11-08 Masih Haseli , Jorge Cortés

Achieving rapid and time-deterministic stabilization for complex systems characterized by strong nonlinearities and parametric uncertainties presents a significant challenge. Traditional model-based control relies on precise system models,…

系统与控制 · 电气工程与系统科学 2025-07-04 Yue Wu

This paper presents a data-driven model predictive control framework for mobile robots navigating in dynamic environments, leveraging Koopman operator theory. Unlike the conventional Koopman-based approaches that focus on the linearization…

机器人学 · 计算机科学 2025-10-06 Mohammad Abtahi , Navid Mojahed , Shima Nazari

This paper introduces a Data-Fused Model Predictive Control (DFMPC) framework that combines physics-based models with data-driven representations of unknown dynamics. Leveraging Willems' Fundamental Lemma and an artificial equilibrium…

系统与控制 · 电气工程与系统科学 2025-12-17 Davide Gorbani , Mohamed Elobaid , Giuseppe L'Erario , Hosameldin Awadalla Omer Mohamed , Daniele Pucci

Radiation-induced photocurrent in semiconductor devices can be simulated using complex physics-based models, which are accurate, but computationally expensive. This presents a challenge for implementing device characteristics in high-level…

计算物理 · 物理学 2020-08-31 Joshua Hanson , Pavel Bochev , Biliana Paskaleva

Modelling biological or engineering swarms is challenging due to the inherently high dimension of the system, despite the often low-dimensional emergent dynamics. Most existing swarm modelling approaches are based on first principles and…

神经与进化计算 · 计算机科学 2022-04-14 Emma Hansen , Steven L. Brunton , Zhuoyuan Song

The Dynamic Mode Decomposition (DMD) is a tool of trade in computational data driven analysis of fluid flows. More generally, it is a computational device for Koopman spectral analysis of nonlinear dynamical systems, with a plethora of…

数值分析 · 数学 2017-08-10 Zlatko Drmač , Igor Mezić , Ryan Mohr

In recent years, there has been a growing interest in data-driven approaches in physics, such as extended dynamic mode decomposition (EDMD). The EDMD algorithm focuses on nonlinear time-evolution systems, and the constructed Koopman matrix…

机器学习 · 计算机科学 2025-06-09 Ichiro Ohta , Shota Koyanagi , Kayo Kinjo , Jun Ohkubo

Vehicle platooning has been shown to be quite fruitful in the transportation industry to enhance fuel economy, road throughput, and driving comfort. Model Predictive Control (MPC) is widely used in literature for platoon control to achieve…

A dynamic mode decomposition (DMD) based reduced-order model (ROM) is developed for tracking, detection, and prediction of kinetic plasma behavior. DMD is applied to the high-fidelity kinetic plasma model based on the electromagnetic…

等离子体物理 · 物理学 2021-09-16 Indranil Nayak , Mrinal Kumar , Fernando L. Teixeira

Any autonomous nonlinear dynamical system can be viewed as a superposition of infinitely many linear processes, through the so-called Koopman mode decomposition. Its data-driven approximation- Dynamic Mode Decomposition (DMD)- has been…

动力系统 · 数学 2025-03-11 Gowtham S Seenivasaharagavan , Milan Korda , Hassan Arbabi , Igor Mezić

This work presents DMPC (Data-and Model-Driven Predictive Control) to solve control problems in which some of the constraints or parts of the objective function are known, while others are entirely unknown to the controller. It is assumed…

系统与控制 · 电气工程与系统科学 2021-03-02 Hassan Jafarzadeh , Cody Fleming

Any deterministic autonomous dynamical system may be globally linearized by its' Koopman operator. This object is typically infinite-dimensional and can be approximated by the so-called Dynamic Mode Decomposition (DMD). In DMD, the central…

动力系统 · 数学 2023-12-14 Gowtham S Seenivasaharagavan , Milan Korda , Hassan Arbabi , Igor Mezić

Model-based reinforcement learning attempts to use an available or learned model to improve the data efficiency of reinforcement learning. This work proposes a one-step lookback approach that jointly learns the deep incremental model and…

机器人学 · 计算机科学 2025-02-28 Cong Li

An important issue in quadcopter control is that an accurate dynamic model of the system is nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based estimation is an…

系统与控制 · 电气工程与系统科学 2021-12-23 Yuhan Liu , Roland Tóth

This paper presents a data-learned linear Koopman embedding of nonlinear networked dynamics and uses it to enable real-time model predictive emergency voltage control in a power network. The approach involves a novel data-driven…

系统与控制 · 电气工程与系统科学 2023-10-06 Ramij R. Hossain , Rahmat Adesunkanmi , Ratnesh Kumar

Koopman operators are infinite-dimensional operators that linearize nonlinear dynamical systems, facilitating the study of their spectral properties and enabling the prediction of the time evolution of observable quantities. Recent methods…

动力系统 · 数学 2025-06-06 Nicolas Boullé , Matthew J. Colbrook

We propose a fully data-driven, Koopman-based framework for statistically robust control of discrete-time nonlinear systems with linear embeddings. Establishing a connection between the Koopman operator and contraction theory, it offers…

机器人学 · 计算机科学 2026-03-24 Koki Hirano , Hiroyasu Tsukamoto

The complexities in the dynamic model of the legged robots make it necessary to utilize model-free controllers in the task of trajectory tracking. In This paper, an adaptive transpose Jacobian approach is proposed to deal with the dynamic…

机器人学 · 计算机科学 2025-04-15 Hossein Shojaei , Hamid Rahmanei , Seyed Hossein Sadati

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