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The design and analysis of optimal control policies for dynamical systems can be complicated by nonlinear dependence in the state variables. Koopman operators have been used to simplify the analysis of dynamical systems by mapping the flow…

Dynamical Systems · Mathematics 2019-08-07 Craig Bakker , Steven Rosenthal , Kathleen E. Nowak

Koopman-based learning methods can potentially be practical and powerful tools for dynamical robotic systems. However, common methods to construct Koopman representations seek to learn lifted linear models that cannot capture nonlinear…

Robotics · Computer Science 2021-05-18 Carl Folkestad , Joel W. Burdick

This paper presents a data-driven method to find a closed-loop optimal controller, which minimizes a specified infinite-horizon cost function for systems with unknown dynamics. Suppose the closed-loop optimal controller can be parameterized…

Machine Learning · Computer Science 2025-11-20 Wenjian Hao , Paulo C. Heredia , Shaoshuai Mou

We study the problem of generating control laws for systems with unknown dynamics. Our approach is to represent the controller and the value function with neural networks, and to train them using loss functions adapted from the…

Robotics · Computer Science 2023-02-21 Selim Engin , Volkan Isler

We present an approach to construct approximate Koopman-type decompositions for dynamical systems depending on static or time-varying parameters. Our method simultaneously constructs an invariant subspace and a parametric family of…

Optimization and Control · Mathematics 2024-11-12 Yue Guo , Milan Korda , Ioannis G. Kevrekidis , Qianxiao Li

This paper proposes a distributed data-driven framework for dynamics learning, termed distributed deep Koopman learning using partial trajectories (DDKL-PT). In this framework, each agent in a multi-agent system is assigned a partial…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Wenjian Hao , Zehui Lu , Devesh Upadhyay , Shaoshuai Mou

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…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Carl Folkestad , Daniel Pastor , Joel W. Burdick

In this paper, we propose a novel algorithm for learning the Koopman operator of a dynamical system from a \textit{small} amount of training data. In many applications of data-driven modeling, e.g. biological network modeling,…

Dynamical Systems · Mathematics 2021-03-09 Subhrajit Sinha , Umesh Vaidya , Enoch Yeung

This paper investigates how to utilize different forms of human interaction to safely train autonomous systems in real-time by learning from both human demonstrations and interventions. We implement two components of the Cycle-of-Learning…

Artificial Intelligence · Computer Science 2018-11-30 Vinicius G. Goecks , Gregory M. Gremillion , Vernon J. Lawhern , John Valasek , Nicholas R. Waytowich

Controlling robots that dynamically engage in contact with their environment is a pressing challenge. Whether a legged robot making-and-breaking contact with a floor, or a manipulator grasping objects, contact is everywhere. Unfortunately,…

Robotics · Computer Science 2025-11-11 Cormac O'Neill , Jasmine Terrones , H. Harry Asada

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…

Robotics · Computer Science 2023-09-01 Yunhai Han , Mandy Xie , Ye Zhao , Harish Ravichandar

Over the last few years, several works have proposed deep learning architectures to learn dynamical systems from observation data with no or little knowledge of the underlying physics. A line of work relies on learning representations where…

Machine Learning · Computer Science 2023-03-14 Anthony Frion , Lucas Drumetz , Mauro Dalla Mura , Guillaume Tochon , Abdeldjalil Aissa El Bey

The purpose of this paper is to develop a shared control takeover strategy for smooth and safety control transition from an automation driving system to the human driver and to approve its positive impacts on drivers' behavior and…

Human-Computer Interaction · Computer Science 2021-03-12 Ziyao Zhou , Chen Chai , Weiru Yin , Xiupeng Shi

Shared autonomy integrates user input with robot autonomy in order to control a robot and help the user to complete a task. Our work aims to improve the performance of such a human-robot team: the robot tries to guide the human towards an…

Robotics · Computer Science 2017-06-15 Stefanos Nikolaidis , Yu Xiang Zhu , David Hsu , Siddhartha Srinivasa

Koopman operator theory has found significant success in learning models of complex, real-world dynamical systems, enabling prediction and control. The greater interpretability and lower computational costs of these models, compared to…

Dynamical Systems · Mathematics 2025-01-08 William T. Redman , Dean Huang , Maria Fonoberova , Igor Mezić

This work proposed an efficient learning-based framework to learn feedback control policies from human teleoperated demonstrations, which achieved obstacle negotiation, staircase traversal, slipping control and parcel delivery for a tracked…

Robotics · Computer Science 2021-08-11 Jiacheng Gu , Zhibin Li

In shared autonomy, user input and robot autonomy are combined to control a robot to achieve a goal. Often, the robot does not know a priori which goal the user wants to achieve, and must both predict the user's intended goal, and assist in…

Robotics · Computer Science 2015-04-21 Shervin Javdani , Siddhartha S. Srinivasa , J. Andrew Bagnell

Ensuring human safety in collaborative robotics can compromise efficiency because traditional safety measures increase robot cycle time when human interaction is frequent. This paper proposes a safety-aware approach to mitigate efficiency…

Robotics · Computer Science 2025-12-22 M. Faroni , A. Spano , A. M. Zanchettin , P. Rocco

Physical Human-Machine Interaction plays a pivotal role in facilitating collaboration across various domains. When designing appropriate model-based controllers to assist a human in the interaction, the accuracy of the human model is…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Sean Kille , Paul Leibold , Philipp Karg , Balint Varga , Sören Hohmann

Koopman-based modeling and model predictive control have been a promising alternative for optimal control of nonlinear processes. Good Koopman modeling performance significantly depends on an appropriate nonlinear mapping from the original…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Zhaoyang Li , Minghao Han , Dat-Nguyen Vo , Xunyuan Yin