Koopman-based feedback design with stability guarantees
We present a method to design a state-feedback controller ensuring exponential stability for
nonlinear systems using only measurement data. Our approach relies on Koopman-operator …
nonlinear systems using only measurement data. Our approach relies on Koopman-operator …
Practical asymptotic stability of data-driven model predictive control using extended DMD
The extended Dynamic Mode Decomposition (eDMD) is a very popular method to obtain
data-driven surrogate models for nonlinear (control) systems governed by ordinary and …
data-driven surrogate models for nonlinear (control) systems governed by ordinary and …
Error analysis of kernel EDMD for prediction and control in the Koopman framework
Extended Dynamic Mode Decomposition (EDMD) is a popular data-driven method to
approximate the Koopman operator for deterministic and stochastic (control) systems. This …
approximate the Koopman operator for deterministic and stochastic (control) systems. This …
Data-driven batch localization and SLAM using Koopman linearization
In this article, we present a framework for model-free batch localization and simultaneous
localization and mapping (SLAM). We use lifting functions to map a control-affine system into …
localization and mapping (SLAM). We use lifting functions to map a control-affine system into …
Data-driven Koopman operator predictions of turbulent dynamics in models of shear flows
CR Constante-Amores, AJ Fox, CEP De Jesús… - arXiv preprint arXiv …, 2024 - arxiv.org
The Koopman operator enables the analysis of nonlinear dynamical systems through a
linear perspective by describing time evolution in the infinite-dimensional space of …
linear perspective by describing time evolution in the infinite-dimensional space of …
Koopman Operator-Based Integrated Guidance and Control for Strap-Down High-Speed Missiles
This work focuses on addressing the challenges of integrated guidance and control (IGC) for
strap-down high-speed missiles with nonlinearities and field-of-view constraints. To achieve …
strap-down high-speed missiles with nonlinearities and field-of-view constraints. To achieve …
SafEDMD: A certified learning architecture tailored to data-driven control of nonlinear dynamical systems
The Koopman operator serves as the theoretical backbone for machine learning of
dynamical control systems, where the operator is heuristically approximated by extended …
dynamical control systems, where the operator is heuristically approximated by extended …