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For dynamical systems involving decision making, the success of the system greatly depends on its ability to make good decisions with incomplete and uncertain information. By leveraging the Koopman operator and its adjoint property, we…

Dynamical Systems · Mathematics 2020-08-21 Adam R. Gerlach , Andrew Leonard , Jonathan Rogers , Chris Rackauckas

Cloth detection and manipulation is a common task in domestic and industrial settings, yet such tasks remain a challenge for robots due to cloth deformability. Furthermore, in many cloth-related tasks like laundry folding and bed making, it…

Robotics · Computer Science 2021-06-17 Jianing Qian , Thomas Weng , Luxin Zhang , Brian Okorn , David Held

This paper tackles the data-driven approximation of unknown dynamical systems using Koopman-operator methods. Given a dictionary of functions, these methods approximate the projection of the action of the operator on the finite-dimensional…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Masih Haseli , Jorge Cortés

This work presents a hybrid physics-informed and data-driven modeling framework for predictive control of autonomous off-road vehicles operating on deformable terrain. Traditional high-fidelity terramechanics models are often too…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kartik Loya , Phanindra Tallapragada

This paper introduces a method for data-driven control based on the Koopman operator model predictive control. Unlike exiting approaches, the method does not require a dictionary and incorporates a nonlinear input transformation, thereby…

Optimization and Control · Mathematics 2023-09-22 Vít Cibulka , Milan Korda , Tomáš Haniš

Robotic manipulation of cloth is a challenging task due to the high dimensionality of the configuration space and the complexity of dynamics affected by various material properties. The effect of complex dynamics is even more pronounced in…

Robotics · Computer Science 2023-02-09 Julius Hietala , David Blanco-Mulero , Gokhan Alcan , Ville Kyrki

Self-occlusion is challenging for cloth manipulation, as it makes it difficult to estimate the full state of the cloth. Ideally, a robot trying to unfold a crumpled or folded cloth should be able to reason about the cloth's occluded…

Robotics · Computer Science 2022-06-24 Zixuan Huang , Xingyu Lin , David Held

Over the last years, significant advances have been made in robotic manipulation, but still, the handling of non-rigid objects, such as cloth garments, is an open problem. Physical interaction with non-rigid objects is uncertain and complex…

Robotics · Computer Science 2023-05-16 Fabio Amadio , Juan Antonio Delgado-Guerrero , Adrià Colomé , Carme Torras

Effective rehabilitation methods are essential for the recovery of lower limb dysfunction caused by stroke. Nowadays, robotic exoskeletons have shown great potentials in rehabilitation. Nevertheless, traditional rigid exoskeletons are…

Robotics · Computer Science 2025-10-14 Junxiang Wang , Han Zhang , Zehao Wang , Huaiyuan Chen , Pu Wang , Weidong Chen

Approximating nonlinear systems as linear ones is a common workaround to apply control tools tailored for linear systems. This motivates our present work where we developed a data-driven model predictive controller (MPC) based on the…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Adriano del Río , Christoph Stoeffler

We propose a neural network-based model for nonlinear dynamics in continuous time that can impose inductive biases on decay rates and/or frequencies. Inductive biases are helpful for training neural networks especially when training data…

Machine Learning · Statistics 2022-12-27 Tomoharu Iwata , Yoshinobu Kawahara

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

Fabric manipulation has applications in folding blankets, handling patient clothing, and protecting items with covers. It is challenging for robots to perform fabric manipulation since fabrics have infinite-dimensional configuration spaces,…

Robotics · Computer Science 2024-10-29 Vedant Raval , Enyu Zhao , Hejia Zhang , Stefanos Nikolaidis , Daniel Seita

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

Approaches based on Koopman operators have shown great promise in forecasting time series data generated by complex nonlinear dynamical systems (NLDS). Although such approaches are able to capture the latent state representation of a NLDS,…

Machine Learning · Computer Science 2024-10-01 Ashutosh Singh , Ashish Singh , Tales Imbiriba , Deniz Erdogmus , Ricardo Borsoi

Online optimal control of quadrupedal robots would enable them to plan their movement in novel scenarios. Linear Model Predictive Control (LMPC) has emerged as a practical approach for real-time control. In LMPC, an optimization problem…

Robotics · Computer Science 2025-07-22 Chun-Ming Yang , Pranav A. Bhounsule

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

This paper presents a model-based reinforcement learning (RL) framework for optimal closed-loop control of nonlinear robotic systems. The proposed approach learns linear lifted dynamics through Koopman operator theory and integrates the…

Robotics · Computer Science 2026-04-23 Wenjian Hao , Yuxuan Fang , Zehui Lu , Shaoshuai Mou

We present a general framework for the garment animation problem through unsupervised deep learning inspired in physically based simulation. Existing trends in the literature already explore this possibility. Nonetheless, these approaches…

Computer Vision and Pattern Recognition · Computer Science 2022-12-22 Hugo Bertiche , Meysam Madadi , Sergio Escalera

System representations inspired by the infinite-dimensional Koopman operator (generator) are increasingly considered for predictive modeling. Due to the operator's linearity, a range of nonlinear systems admit linear predictor…

Machine Learning · Computer Science 2022-05-31 Petar Bevanda , Max Beier , Sebastian Kerz , Armin Lederer , Stefan Sosnowski , Sandra Hirche
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