Dictionary-free Koopman model predictive control with nonlinear input transformation
Optimization and Control
2023-09-22 v2 Dynamical Systems
Abstract
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 allowing for more accurate predictions with less ad hoc tuning. In addition to this, the method allows for input quantization and exploits symmetries, thereby reducing computational cost, both offline and online. Importantly, the method retains convexity of the optimization problem solved within the model predictive control online. Numerical examples demonstrate superior performance compared to existing methods as well as the capacity to learn discontinuous lifting functions.
Cite
@article{arxiv.2212.13828,
title = {Dictionary-free Koopman model predictive control with nonlinear input transformation},
author = {Vít Cibulka and Milan Korda and Tomáš Haniš},
journal= {arXiv preprint arXiv:2212.13828},
year = {2023}
}