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 …

[HTML][HTML] A survey on design, actuation, modeling, and control of continuum robot

J Zhang, Q Fang, P **ang, D Sun, Y Xue… - Cyborg and Bionic …, 2022 - spj.science.org
In this paper, we describe the advances in the design, actuation, modeling, and control field
of continuum robots. After decades of pioneering research, many innovative structural …

Control of soft robots with inertial dynamics

DA Haggerty, MJ Banks, E Kamenar, AB Cao… - Science robotics, 2023 - science.org
Soft robots promise improved safety and capability over rigid robots when deployed near
humans or in complex, delicate, and dynamic environments. However, infinite degrees of …

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 …

Physics-informed dynamic mode decomposition

PJ Baddoo, B Herrmann… - … of the Royal …, 2023 - royalsocietypublishing.org
In this work, we demonstrate how physical principles—such as symmetries, invariances and
conservation laws—can be integrated into the dynamic mode decomposition (DMD). DMD is …

Learning quadrotor dynamics for precise, safe, and agile flight control

A Saviolo, G Loianno - Annual Reviews in Control, 2023 - Elsevier
This article reviews the state-of-the-art modeling and control techniques for aerial robots
such as quadrotor systems and presents several future research directions in this area. The …

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 …

Advantages of bilinear Koopman realizations for the modeling and control of systems with unknown dynamics

D Bruder, X Fu, R Vasudevan - IEEE Robotics and Automation …, 2021 - ieeexplore.ieee.org
Nonlinear dynamical systems can be made easier to control by lifting them into the space of
observable functions, where their evolution is described by the linear Koopman operator …

An integrated kinematic calibration and dynamic identification method with only static measurements for serial robot

Y Yuan, W Sun - IEEE/ASME Transactions on Mechatronics, 2023 - ieeexplore.ieee.org
In this article, we propose an integrated calibration and identification method that can
identify kinematic and dynamic parameters at the same time. Only a series of static …

Data‐enabled predictive control for quadcopters

E Elokda, J Coulson, PN Beuchat… - … Journal of Robust …, 2021 - Wiley Online Library
We study the application of a data‐enabled predictive control (DeePC) algorithm for position
control of real‐world nano‐quadcopters. The DeePC algorithm is a finite‐horizon, optimal …