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Related papers: Data-driven Koopman Operators for Model-based Shar…

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For tasks where the dynamics of multiple agents are physically coupled, e.g., in cooperative manipulation, the coordination between the individual agents becomes crucial, which requires exact knowledge of the interaction dynamics. This…

Robotics · Computer Science 2022-06-29 Pablo Budde gen. Dohmann , Armin Lederer , Marcel Dißemond , Sandra Hirche

Most modern reinforcement learning algorithms optimize a cumulative single-step cost along a trajectory. The optimized motions are often 'unnatural', representing, for example, behaviors with sudden accelerations that waste energy and lack…

Machine Learning · Computer Science 2024-07-03 Motoya Ohnishi , Isao Ishikawa , Kendall Lowrey , Masahiro Ikeda , Sham Kakade , Yoshinobu Kawahara

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

This paper develops a novel data-driven technique to compute the participation factors for nonlinear systems based on the Koopman mode decomposition. Provided that certain conditions are satisfied, it is shown that the proposed technique…

Systems and Control · Computer Science 2021-06-01 Marcos Netto , Yoshihiko Susuki , Lamine Mili

In this paper, we present a data-driven distributed model predictive control (MPC) scheme to stabilise the origin of dynamically coupled discrete-time linear systems subject to decoupled input constraints. The local optimisation problems…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Matthias Köhler , Julian Berberich , Matthias A. Müller , Frank Allgöwer

In this paper, we provide an algorithm for online computation of Koopman operator in real-time using streaming data. In recent years, there has been an increased interest in data-driven analysis of dynamical systems, with operator theoretic…

Systems and Control · Electrical Eng. & Systems 2019-09-30 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

The control of a single agent in complex and uncertain multi-agent environments requires careful consideration of the interactions between the agents. In this context, this paper proposes a dual model predictive control (MPC) method using…

Optimization and Control · Mathematics 2025-09-03 T. M. J. T. Baltussen , A. Katriniok , E. Lefeber , R. Tóth , W. P. M. H. Heemels

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

This paper investigates the generalisability of Koopman-based representations for chaotic dynamical systems, focusing on their transferability across prediction and control tasks. Using the Lorenz system as a testbed, we propose a…

Machine Learning · Computer Science 2025-08-27 Kyriakos Hjikakou , Juan Diego Cardenas Cartagena , Matthia Sabatelli

Analyzing synchronized nonlinear oscillators is one of the most important and attractive topics in nonlinear science. By understanding the interactions between the oscillators, we can figure out the synchronization process. A promising…

Adaptation and Self-Organizing Systems · Physics 2025-02-05 Yuka Hashimoto , Masahiro Ikeda , Hiroya Nakao , Yoshinobu Kawahara

The Koopman operator plays a crucial role in analyzing the global behavior of dynamical systems. Existing data-driven methods for approximating the Koopman operator or discovering the governing equations of the underlying system typically…

Dynamical Systems · Mathematics 2025-07-11 Mohammad Tabish , Neil K. Chada , Stefan Klus

Control of machine learning models has emerged as an important paradigm for a broad range of robotics applications. In this paper, we present a sampling-based nonlinear model predictive control (NMPC) approach for control of neural network…

Robotics · Computer Science 2022-10-06 Iman Askari , Babak Badnava , Thomas Woodruff , Shen Zeng , Huazhen Fang

Despite the fact that robotic platforms can provide both consistent practice and objective assessments of users over the course of their training, there are relatively few instances where physical human robot interaction has been…

Robotics · Computer Science 2019-11-20 Kathleen Fitzsimons , Aleksandra Kalinowska , Julius P. A. Dewald , Todd Murphey

The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and data science. First-principles derivations and asymptotic reductions are giving way to data-driven approaches…

Dynamical Systems · Mathematics 2021-11-02 Steven L. Brunton , Marko Budišić , Eurika Kaiser , J. Nathan Kutz

Online optimal control of quadruped robots would enable them to adapt to varying inputs and changing conditions in real time. A common way of achieving this is linear model predictive control (LMPC), where a quadratic programming (QP)…

Robotics · Computer Science 2025-08-13 Chun-Ming Yang , Pranav A. Bhounsule

Koopman operator has been recognized as an ongoing data-driven modeling method for vehicle dynamics which lifts the original state space into a high-dimensional linear state space. The deep neural networks (DNNs) are verified to be useful…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Jianhua Zhang , Yansong He , Hao Chen

The Koopman Operator (KO) takes nonlinear state dynamics and ``lifts'' those dynamics to an infinite-dimensional functional space of observables in which those dynamics are linear. Computational applications typically use a…

Dynamical Systems · Mathematics 2025-06-19 Craig Bakker

The Koopman operator approach for data-driven control design of a nonlinear system is on the rise because of its capability to capture the behaviours of global dynamics. However, the measurement noises of inputs and outputs will bias the…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Tianyi He , Anuj Pal

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

This paper presents a novel data-driven stochastic MPC design for discrete-time nonlinear systems with additive disturbances by leveraging the Koopman operator and a distributionally robust optimization (DRO) framework. By lifting the…

Systems and Control · Electrical Eng. & Systems 2025-10-27 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis
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