Modern Koopman theory for dynamical systems

SL Brunton, M Budišić, E Kaiser, JN Kutz - arxiv preprint arxiv:2102.12086, 2021 - arxiv.org
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

Active learning in robotics: A review of control principles

AT Taylor, TA Berrueta, TD Murphey - Mechatronics, 2021 - Elsevier
Active learning is a decision-making process. In both abstract and physical settings, active
learning demands both analysis and action. This is a review of active learning in robotics …

Data-driven control of soft robots using Koopman operator theory

D Bruder, X Fu, RB Gillespie, CD Remy… - IEEE Transactions …, 2020 - ieeexplore.ieee.org
Controlling soft robots with precision is a challenge due to the difficulty of constructing
models that are amenable to model-based control design techniques. Koopman operator …

Active learning of dynamics for data-driven control using Koopman operators

I Abraham, TD Murphey - IEEE Transactions on Robotics, 2019 - ieeexplore.ieee.org
This paper presents an active learning strategy for robotic systems that takes into account
task information, enables fast learning, and allows control to be readily synthesized by …

Modeling and control of soft robots using the koopman operator and model predictive control

D Bruder, B Gillespie, CD Remy… - arxiv preprint arxiv …, 2019 - arxiv.org
Controlling soft robots with precision is a challenge due in large part to the difficulty of
constructing models that are amenable to model-based control design techniques …

Derivative-based Koopman operators for real-time control of robotic systems

G Mamakoukas, ML Castano, X Tan… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article presents a generalizable methodology for data-driven identification of nonlinear
dynamics that bounds the model error in terms of the prediction horizon and the magnitude …

Bridging the gap between safety and real-time performance in receding-horizon trajectory design for mobile robots

S Kousik, S Vaskov, F Bu… - … Journal of Robotics …, 2020 - journals.sagepub.com
To operate with limited sensor horizons in unpredictable environments, autonomous robots
use a receding-horizon strategy to plan trajectories, wherein they execute a short plan while …

Bridging the gap between optimal trajectory planning and safety-critical control with applications to autonomous vehicles

W **ao, CG Cassandras, CA Belta - Automatica, 2021 - Elsevier
We address the problem of optimizing the performance of a dynamic system while satisfying
hard safety constraints at all times. Implementing an optimal control solution is limited by the …

Model-based control using Koopman operators

I Abraham, G De La Torre, TD Murphey - arxiv preprint arxiv:1709.01568, 2017 - arxiv.org
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 …

Local Koopman operators for data-driven control of robotic systems

G Mamakoukas, M Castano, X Tan… - Robotics: science and …, 2019 - par.nsf.gov
This paper presents a data-driven methodology for linear embedding of nonlinear systems.
Utilizing structural knowledge of general nonlinear dynamics, the authors exploit the …