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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 Koopman operator framework can be used to identify a data-driven model of a nonlinear system. Unfortunately, when the data is corrupted by noise, the identified model can be biased. Additionally, depending on the choice of lifting…

系统与控制 · 电气工程与系统科学 2024-09-02 Louis Lortie , James Richard Forbes

Reinforcement learning (RL) models have shown the capability of learning complex behaviors, but quantitatively assessing those behaviors - which is critical for safety assurance and the discovery of novel strategies - is challenging. By…

最优化与控制 · 数学 2026-03-23 William T. Redman

In this article, we present data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media using Koopman operators. Different from the case of autonomous dynamical systems, the Koopman operator family of…

数值分析 · 数学 2023-01-10 Mengnan Li , Lijian Jiang

In this paper, data-driven algorithms based on Koopman Operator Theory are applied to identify and predict the nonlinear dynamics of a vapor compression system and cabin temperature in a light-duty electric vehicle. By leveraging a…

系统与控制 · 电气工程与系统科学 2025-04-08 Luca Meda , Stephanie Stockar

Koopman operator theory has proven to be a promising approach to nonlinear system identification and global linearization. For nearly a century, there had been no efficient means of calculating the Koopman operator for applied engineering…

系统与控制 · 电气工程与系统科学 2023-03-22 Waqas Manzoor , Samir Rawashdeh , Alireza Mohammadi

The Koopman operator theory is an increasingly popular formalism of dynamical systems theory which enables analysis and prediction of the nonlinear dynamics from measurement data. Building on the recent development of the Koopman model…

流体动力学 · 物理学 2018-06-08 Hassan Arbabi , Milan Korda , Igor Mezic

Koopman operator theory has served as the basis to extract dynamics for nonlinear system modeling and control across settings, including non-holonomic mobile robot control. There is a growing interest in research to derive robustness…

机器人学 · 计算机科学 2021-04-13 Lu Shi , Konstantinos Karydis

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

This paper presents a generalizable methodology for data-driven identification of nonlinear dynamics that bounds the model error in terms of the prediction horizon and the magnitude of the derivatives of the system states. Using…

机器学习 · 统计学 2021-05-03 Giorgos Mamakoukas , Maria L. Castano , Xiaobo Tan , Todd D. Murphey

Autonomous Underwater Vehicles (AUVs) play an essential role in modern ocean exploration, and their speed control systems are fundamental to their efficient operation. Like many other robotic systems, AUVs exhibit multivariable nonlinear…

系统与控制 · 电气工程与系统科学 2025-03-14 Zhiliang Liu , Xin Zhao , Peng Cai , Bing Cong

This paper presents a novel episodic method to learn a robot's nonlinear dynamics model and an increasingly optimal control sequence for a set of tasks. The method is based on the {\em Koopman operator} approach to nonlinear dynamical…

系统与控制 · 电气工程与系统科学 2020-04-07 Carl Folkestad , Daniel Pastor , Joel W. Burdick

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

Analyzing the spectral properties of the Koopman operator is crucial for understanding and predicting the behavior of complex stochastic dynamical systems. However, the accuracy of data-driven estimation methods, such as Extended Dynamic…

动力系统 · 数学 2025-09-08 Yuanchao Xu , Jing Liu , Zhongwei Shen , Isao Ishikawa

Deep learning is revolutionizing weather forecasting, with new data-driven models achieving accuracy on par with operational physical models for medium-term predictions. However, these models often lack interpretability, making their…

机器学习 · 计算机科学 2024-09-11 David Millard , Arielle Carr , Stéphane Gaudreault

Developing agents that can perform complex control tasks from high-dimensional observations is a core ability of autonomous agents that requires underlying robust task control policies and adapting the underlying visual representations to…

机器人学 · 计算机科学 2024-09-06 Hemant Kumawat , Biswadeep Chakraborty , Saibal Mukhopadhyay

High-speed off-road autonomous driving presents unique challenges due to complex, evolving terrain characteristics and the difficulty of accurately modeling terrain-vehicle interactions. While dynamics models used in model-based control can…

Nonlinearity in dynamics has long been a major challenge in robotics, often causing significant performance degradation in existing control algorithms. For example, the navigation of bipedal robots can exhibit nonlinear behaviors even under…

机器人学 · 计算机科学 2026-03-10 Jeonghwan Kim , Yunhai Han , Harish Ravichandar , Sehoon Ha

We study the problem of online tracking in unknown nonlinear dynamical systems, where only short-horizon predictions of future target states are available. This setting arises in practical scenarios where full future information and exact…

最优化与控制 · 数学 2026-03-10 Chih-Fan Pai , Xu Shang , Jiachen Qian , Yang Zheng

The immersion and the interaction are the important features of the driving simulator. To improve these characteristics, this paper proposes a low-cost and mark-less driver head tracking framework based on the head pose estimation model,…

图像与视频处理 · 电气工程与系统科学 2021-03-25 Zhongxu Hu , Chen Lv , Yanxin Zhou , Yiran Zhang , Wenhui Huang