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Controlling robots with strongly nonlinear, high-dimensional dynamics remains challenging, as direct nonlinear optimization with safety constraints is often intractable in real time. The Koopman operator offers a way to represent nonlinear…

Robotics · Computer Science 2026-03-20 Sebin Jung , Abulikemu Abuduweili , Jiaxing Li , Changliu Liu

Autonomous underwater vehicles (AUV) perform various applications such as seafloor mapping and underwater structure health monitoring. Commonly, an inertial navigation system aided by a Doppler velocity log (DVL) is used to provide the…

Robotics · Computer Science 2022-07-22 Nadav Cohen , Itzik Klein

This paper studies trajectory optimization of an autonomous underwater vehicle (AUV) to track an unknown maneuvering target both in the 2D and 3D space. Due to the restrictions on sensing capabilities in the underwater scenario, the AUV is…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Yingbo Fu , Ziwen Yang , Liang Xu , Yi Guo , Shanying Zhu , Xinnping Guan

This paper presents the results of identification of vehicle dynamics using the Koopman operator. The basic idea is to transform the state space of a nonlinear system (a car in our case) to a higher-dimensional space, using so-called basis…

Optimization and Control · Mathematics 2019-03-15 Vit Cibulka , Tomas Hanis , Martin Hromcik

Autonomous underwater vehicles (AUVs) are robotic platforms that are commonly used to map the sea floor, for example for benthic surveys or for naval mine countermeasures (MCM) operations. AUVs create an acoustic image of the survey area,…

Robotics · Computer Science 2018-11-13 Chris Denniston , Thomas R. Krogstad , Stephanie Kemna , Gaurav S. Sukhatme

Agent-based models (ABMs) provide an intuitive and powerful framework for studying social dynamics by modeling the interactions of individuals from the perspective of each individual. In addition to simulating and forecasting the dynamics…

Dynamical Systems · Mathematics 2024-02-22 Jan-Hendrik Niemann , Stefan Klus , Nataša Djurdjevac Conrad , Christof Schütte

Vehicle state estimation presents a fundamental challenge for autonomous driving systems, requiring both physical interpretability and the ability to capture complex nonlinear behaviors across diverse operating conditions. Traditional…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Farid Mafi , Ladan Khoshnevisan , Mohammad Pirani , Amir Khajepour

In this article we propose a reactive constrained navigation scheme, with embedded obstacles avoidance for an Unmanned Aerial Vehicle (UAV), for enabling navigation in obstacle-dense environments. The proposed navigation architecture is…

Robotics · Computer Science 2022-07-05 Björn Lindqvist , Sina Sharif Mansouri , Jakub Haluška , George Nikolakopoulos

Safe navigation is a fundamental challenge in multi-robot systems due to the uncertainty surrounding the future trajectory of the robots that act as obstacles for each other. In this work, we propose a principled data-driven approach where…

Robotics · Computer Science 2022-09-19 Atharva Navsalkar , Ashish R. Hota

This paper introduces a novel simulation framework for evaluating motion control in tethered multi-robot systems within dynamic marine environments. Specifically, it focuses on the coordinated operation of an Autonomous Underwater Vehicle…

Robotics · Computer Science 2025-08-05 Markus Buchholz , Ignacio Carlucho , Michele Grimaldi , Yvan R. Petillot

Today AUVs operation still remains restricted to very particular tasks with low real autonomy due to battery restrictions. Efficient motion planning and mission scheduling are principle requirement toward advance autonomy and facilitate the…

Robotics · Computer Science 2016-12-06 Somaiyeh Mahmoud. Zadeh , David M. W Powers , Karl Sammut

This paper explores the application of Koopman operator theory to the control of robotic systems. The operator is introduced as a method to generate data-driven models that have utility for model-based control methods. We then motivate the…

Robotics · Computer Science 2017-09-07 Ian Abraham , Gerardo De La Torre , Todd D. Murphey

Expansion of today's underwater scenarios and missions necessitates the requestion for robust decision making of the Autonomous Underwater Vehicle (AUV); hence, design an efficient decision making framework is essential for maximizing the…

Robotics · Computer Science 2016-12-06 Somaiyeh Mahmoud Zadeh , David M. W Powers , Karl Sammut , Amir Mehdi Yazdani

Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. This theoretical framework provides a rigorous underpinning…

Dynamical Systems · Mathematics 2022-10-11 Dan Wilson

Time-dependent structural reliability analysis of nonlinear dynamical systems is non-trivial; subsequently, scope of most of the structural reliability analysis methods is limited to time-independent reliability analysis only. In this work,…

Machine Learning · Statistics 2024-09-21 Navaneeth N. , Souvik Chakraborty

Accurate modeling and control of autonomous vehicles remain a fundamental challenge due to the nonlinear and coupled nature of vehicle dynamics. While Koopman operator theory offers a framework for deploying powerful linear control…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Mohammad Abtahi , Farhang Motallebi Araghi , Navid Mojahed , Shima Nazari

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…

Numerical Analysis · Mathematics 2023-01-10 Mengnan Li , Lijian Jiang

Implementing fully automatic unmanned surface vehicles (USVs) monitoring water quality is challenging since effectively collecting environmental data while keeping the platform stable and environmental-friendly is hard to approach. To…

Robotics · Computer Science 2022-11-09 Tianqi Zhang , Tong Shen , Kai Yuan , Kaiwen Xue , Huihuan Qian

Controlling soft continuum manipulator arms is difficult due to their infinite degrees of freedom, nonlinear material properties, and large deflections under loading. This paper presents a data-driven approach to identifying soft…

Robotics · Computer Science 2020-02-05 Daniel Bruder , Xun Fu , R. Brent Gillespie , C. David Remy , Ram Vasudevan

In this letter, we address the task of adaptive sampling to model vector fields. When modeling environmental phenomena with a robot, gathering high resolution information can be resource intensive. Actively gathering data and modeling flows…

Robotics · Computer Science 2024-10-23 Alice Kate Li , Thales C. Silva , M. Ani Hsieh