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@PHDTHESIS{VonRohr:1006124,
author = {Von Rohr, Alexander},
othercontributors = {Trimpe, Johann Sebastian and Hoos, Holger Hendrik},
title = {{P}robabilistic optimization for the control of dynamical
systems},
school = {RWTH Aachen University},
type = {Dissertation},
address = {Aachen},
publisher = {RWTH Aachen University},
reportid = {RWTH-2025-02257},
pages = {1 Online-Ressource : Illustrationen},
year = {2024},
note = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
University 2025; Dissertation, RWTH Aachen University, 2024},
abstract = {The control of dynamical systems is a central aspect of
automation technology, integral to modern society. However,
designing resource-efficient controllers specific to each
system remains challenging and costly. Machine learning can
automate this process, but learning-based control requires
methods that are both data-efficient and robust. This thesis
addresses the central question: "How can we efficiently
learn to control dynamical systems from data?" by framing
learning-based control as a probabilistic optimization
problem. We introduce novel methods for decision-making
under uncertainty that enable efficient data collection and
propose learning-based control algorithms for probabilistic
models with formal guarantees. First, we tackle the
controller tuning problem, which traditionally demands
extensive experimentation. We develop a Bayesian
optimization method for data-efficient improvement of
candidate controllers by reducing uncertainty in gradient
estimates. This method is validated through synthetic
problems, simulated experiments, and hardware controller
tuning. Second, we propose three probabilistically robust
control methods that account for uncertainties arising from
data-driven model learning. These include a controller
synthesis method with probabilistic stability guarantees,
leveraging the posterior distribution of learned models; an
approach addressing aleatoric uncertainty in systems with
inherent variations, deriving upper bounds on the minimum
data required to achieve quadratic stability; and an
event-triggered learning algorithm for uncertain and
time-varying dynamics, which detects system changes and
triggers re-learning. In summary, this thesis addresses the
challenge of efficiently learning to control dynamical
systems from data using probabilistic optimization. By
leveraging data-efficient probabilistic machine learning
techniques, we improve control performance while minimizing
resource consumption. The proposed methods are validated
through simulations and experiments.},
cin = {422610 / 120000},
ddc = {004},
cid = {$I:(DE-82)422610_20200514$ / $I:(DE-82)120000_20140620$},
typ = {PUB:(DE-HGF)11},
doi = {10.18154/RWTH-2025-02257},
url = {https://publications.rwth-aachen.de/record/1006124},
}