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Related papers: Digital Twins Meet the Koopman Operator: Data-Driv…

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This paper presents a safe imitation learning approach for autonomous vehicle driving, with attention on real-life human driving data and experimental validation. In order to increase occupant's acceptance and gain drivers' trust, the…

Systems and Control · Electrical Eng. & Systems 2021-10-11 Flavia Sofia Acerbo , Mohsen Alirezaei , Herman Van der Auweraer , Tong Duy Son

When a mobile robot lacks high onboard computing or networking capabilities, it can rely on remote computing architecture for its control and autonomy. This paper introduces a novel collaborative Simulation Twin (ST) strategy for control…

Robotics · Computer Science 2023-03-14 Nazish Tahir , Ramviyas Parasuraman

This paper investigates the impact of approximation error in data-driven optimal control problem of nonlinear systems while using the Koopman operator. While the Koopman operator enables a simplified representation of nonlinear dynamics…

Optimization and Control · Mathematics 2026-03-31 Yicheng Lin , Bingxian Wu , Nan Bai , Yunxiao Ren , Zhisheng Duan

Mixed vehicle platoons, comprising connected and automated vehicles (CAVs) and human-driven vehicles (HDVs), hold significant potential for enhancing traffic performance. However, most existing control strategies assume linear system…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Shuai Li , Jiawei Wang , Kaidi Yang , Qing Xu , Jianqiang Wang , Keqiang Li

In this work, we propose to apply the recently developed Koopman operator techniques to explore the global phase space of a nonlinear system from time-series data. In particular, we address the problem of identifying various invariant…

Dynamical Systems · Mathematics 2019-10-09 Sai Pushpak Nandanoori , Subhrajit Sinha , Enoch Yeung

Estimating terrain traversability in off-road environments requires reasoning about complex interaction dynamics between the robot and these terrains. However, it is challenging to create informative labels to learn a model in a supervised…

Koopman operator theory provides a global linear representation of nonlinear dynamics and underpins many data-driven methods. In practice, however, finite-dimensional feature spaces induced by a user-chosen dictionary are rarely invariant,…

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…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Luca Meda , Stephanie Stockar

Off-road navigation is a challenging problem both at the planning level to get a smooth trajectory and at the control level to avoid flipping over, hitting obstacles, or getting stuck at a rough patch. There have been several recent works…

Robotics · Computer Science 2024-04-16 Dvij Kalaria , Shreya Sharma , Sarthak Bhagat , Haoru Xue , John M. Dolan

Existing world models for autonomous driving struggle with long-horizon generation and generalization to challenging scenarios. In this work, we develop a model using simple design choices, and without additional supervision or sensors,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Arian Mousakhan , Sudhanshu Mittal , Silvio Galesso , Karim Farid , Thomas Brox

In the development of model predictive controllers for PDE-constrained problems, the use of reduced order models is essential to enable real-time applicability. Besides local linearization approaches, Proper Orthogonal Decomposition (POD)…

Optimization and Control · Mathematics 2020-12-15 Sebastian Peitz , Stefan Klus

We propose a machine-learning approach to model long-term out-of-sample dynamics of brain activity from task-dependent fMRI data. Our approach is a three stage one. First, we exploit Diffusion maps (DMs) to discover a set of variables that…

Numerical Analysis · Mathematics 2024-11-05 Ioannis K. Gallos , Daniel Lehmberg , Felix Dietrich , Constantinos Siettos

Conventional physics-based modeling is a time-consuming bottleneck in control design for complex nonlinear systems like autonomous underwater vehicles (AUVs). In contrast, purely data-driven models, though convenient and quick to obtain,…

Dynamical Systems · Mathematics 2022-08-16 Wenceslao Shaw Cortez , Soumya Vasisht , Aaron Tuor , Ján Drgoňa , Draguna Vrabie

The paper is about the data-driven computation of optimal control for a class of control affine deterministic nonlinear systems. We assume that the control dynamical system model is not available, and the only information about the system…

Optimization and Control · Mathematics 2021-04-13 Bowen Huang , Umesh Vaidya

With the increasing availability of large scale datasets, computational power and tools like automatic differentiation and expressive neural network architectures, sequential data are now often treated in a data-driven way, with a dynamical…

Machine Learning · Computer Science 2024-06-25 Anthony Frion , Lucas Drumetz , Mauro Dalla Mura , Guillaume Tochon , Abdeldjalil Aïssa El Bey

The Koopman operator has become an essential tool for data-driven approximation of dynamical (control) systems, e.g., via extended dynamic mode decomposition. Despite its popularity, convergence results and, in particular, error bounds are…

Optimization and Control · Mathematics 2022-02-16 Feliks Nüske , Sebastian Peitz , Friedrich Philipp , Manuel Schaller , Karl Worthmann

We propose a data-driven method for controlling the frequency and convergence rate of black-box nonlinear dynamical systems based on the Koopman operator theory. With the proposed method, a policy network is trained such that the…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Tomoharu Iwata , Yoshinobu Kawahara

A key challenge in off-road navigation is that even visually similar terrains or ones from the same semantic class may have substantially different traction properties. Existing work typically assumes no wheel slip or uses the expected…

Robotics · Computer Science 2023-08-01 Xiaoyi Cai , Michael Everett , Lakshay Sharma , Philip R. Osteen , Jonathan P. How

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,…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Gang Tao , Qianhong Zhao

Autonomous off-road driving is challenging as risky actions taken by the robot may lead to catastrophic damage. As such, developing controllers in simulation is often desirable as it provides a safer and more economical alternative.…

Robotics · Computer Science 2023-10-16 Sean J. Wang , Honghao Zhu , Aaron M. Johnson
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