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Modern Koopman theory for dynamical systems
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …
algorithms emerging from modern computing and data science. First-principles derivations …
Active learning in robotics: A review of control principles
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 …
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
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 …
models that are amenable to model-based control design techniques. Koopman operator …
Active learning of dynamics for data-driven control using Koopman operators
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 …
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
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 …
constructing models that are amenable to model-based control design techniques …
Derivative-based Koopman operators for real-time control of robotic systems
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 …
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
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 …
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
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 …
hard safety constraints at all times. Implementing an optimal control solution is limited by the …
Model-based control using Koopman operators
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 …
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
This paper presents a data-driven methodology for linear embedding of nonlinear systems.
Utilizing structural knowledge of general nonlinear dynamics, the authors exploit the …
Utilizing structural knowledge of general nonlinear dynamics, the authors exploit the …