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In this work, we propose a meta-learning-based Koopman modeling and predictive control approach for nonlinear systems with parametric uncertainties. An adaptive deep meta-learning-based modeling approach, called Meta Adaptive Koopman…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Minghao Han , Kiwan Wong , Adrian Wing-Keung Law , Xunyuan Yin

The control of legged robots, particularly humanoid and quadruped robots, presents significant challenges due to their high-dimensional and nonlinear dynamics. While linear systems can be effectively controlled using methods like Model…

Robotics · Computer Science 2025-06-04 Feihan Li , Abulikemu Abuduweili , Yifan Sun , Rui Chen , Weiye Zhao , Changliu Liu

Nonlinear dynamical effects are crucial to the operation of many agile robotic systems. Koopman-based model learning methods can capture these nonlinear dynamical system effects in higher dimensional lifted bilinear models that are amenable…

Robotics · Computer Science 2021-10-22 Carl Folkestad , Skylar X. Wei , Joel W. Burdick

We develop a hybrid control approach for robot learning based on combining learned predictive models with experience-based state-action policy mappings to improve the learning capabilities of robotic systems. Predictive models provide an…

Robotics · Computer Science 2020-06-09 Ian Abraham , Alexander Broad , Allison Pinosky , Brenna Argall , Todd D. Murphey

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…

Robotics · Computer Science 2021-04-13 Lu Shi , Konstantinos Karydis

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

This paper introduces new model parameterizations for learning discrete-time dynamical systems from data via the Koopman operator and studies their properties. Whereas most existing works on Koopman learning do not take into account the…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Fletcher Fan , Bowen Yi , David Rye , Guodong Shi , Ian R. Manchester

This paper develops a methodology for adaptive data-driven Model Predictive Control (MPC) using Koopman operators. While MPC is ubiquitous in various fields of engineering, the controller performance can deteriorate if the modeling error…

Optimization and Control · Mathematics 2024-12-05 Daisuke Uchida , Karthik Duraisamy

This paper presents a unified and scalable framework for predictive and safe autonomous navigation in dynamic transportation environments by integrating model predictive control (MPC) with distributed Koopman operator learning.…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Ali Azarbahram , Shenyu Liu , Gian Paolo Incremona

Koopman operator theory has emerged as a powerful tool for system identification, particularly for approximating nonlinear time-invariant systems (NTIS). This paper considers a network of agents with limited observation capabilities that…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Wenjian Hao , Lili Wang , Ayush Rai , Shaoshuai Mou

We propose an alternating optimization algorithm to the nonconvex Koopman operator learning problem for nonlinear dynamic systems. We show that the proposed algorithm will converge to a critical point with rate $O(1/T)$ and $O(\frac{1}{\log…

Signal Processing · Electrical Eng. & Systems 2020-03-23 Zhiyuan Liu , Guohui Ding , Lijun Chen , Enoch Yeung

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…

Robotics · Computer Science 2026-03-10 Jeonghwan Kim , Yunhai Han , Harish Ravichandar , Sehoon Ha

Model-based control requires an accurate model of the system dynamics for precisely and safely controlling the robot in complex and dynamic environments. Moreover, in the presence of variations in the operating conditions, the model should…

Robotics · Computer Science 2024-09-04 Alessandro Saviolo , Jonathan Frey , Abhishek Rathod , Moritz Diehl , Giuseppe Loianno

Controlling nonlinear dynamical systems remains a central challenge in a wide range of applications, particularly when accurate first-principle models are unavailable. Data-driven approaches offer a promising alternative by designing…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Robin Strässer , Karl Worthmann , Igor Mezić , Julian Berberich , Manuel Schaller , Frank Allgöwer

This paper introduces a novel model-based adaptive shared control to allow for the identification and design challenge for shared-control systems, in which humans and automation share control tasks. The main challenge is the adaptive…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Balint Varga

In shared autonomy, user input is combined with semi-autonomous control to achieve a common goal. The goal is often unknown ex-ante, so prior work enables agents to infer the goal from user input and assist with the task. Such methods tend…

Machine Learning · Computer Science 2018-05-24 Siddharth Reddy , Anca D. Dragan , Sergey Levine

This paper presents an adaptive haptic shared control framework wherein a driver and an automation system are physically connected through a motorized steering wheel. The automation system is modeled as an intelligent agent that is not only…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Vahid Izadi , Amir H. Ghasemi

Koopman liftings have been successfully used to learn high dimensional linear approximations for autonomous systems for prediction purposes, or for control systems for leveraging linear control techniques to control nonlinear dynamics. In…

Systems and Control · Electrical Eng. & Systems 2023-06-16 Haldun Balim , Antoine Aspeel , Zexiang Liu , Necmiye Ozay

Networks are landmarks of many complex phenomena where interweaving interactions between different agents transform simple local rule-sets into nonlinear emergent behaviors. While some recent studies unveil associations between the network…

Social and Information Networks · Computer Science 2021-08-05 Ali Tavasoli , Teague Henry , Heman Shakeri

This paper presents a novel learning framework to construct Koopman eigenfunctions for unknown, nonlinear dynamics using data gathered from experiments. The learning framework can extract spectral information from the full nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-03-19 Carl Folkestad , Daniel Pastor , Igor Mezic , Ryan Mohr , Maria Fonoberova , Joel Burdick