Searched for: subject%3A%22Koopman%255C+operators%22
(1 - 8 of 8)
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van Laarhoven, Menno (author)
<br/>We expand on the framework by Korda and Mezic (2020) to construct eigenfunctions directly from data by exploiting the eigenfunction PDE, guaranteeing closure and eliminating the need for a prior data dictionary. <br/>The constructed models are extended to forced systems through the multi-step prediction error of a linear state-space model....
master thesis 2023
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Khosravi, M. (author)
In this work, we consider the problem of learning the Koopman operator for discrete-time autonomous systems. The learning problem is formulated as a generic constrained regularized empirical loss minimization in the infinite-dimensional space of linear operators. We show that a representer theorem holds for the introduced learning problem...
journal article 2023
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Kieboom, Bart (author)
This thesis considers the problem of nonlinear output regulation in a Koopman operator framework. The goal of output regulation is to asymptotically track a reference and/or simultaneously reject a disturbance signal, both generated by some external autonomous system called the exosystem. The nonlinear output regulation problem is solvable if...
master thesis 2022
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Zhang, Xinglong (author), Pan, W. (author), Scattolini, Riccardo (author), Yu, Shuyou (author), Xu, Xin (author)
Koopman operators are of infinite dimension and capture the characteristics of nonlinear dynamics in a lifted global linear manner. The finite data-driven approximation of Koopman operators results in a class of linear predictors, useful for formulating linear model predictive control (MPC) of nonlinear dynamical systems with reduced...
journal article 2022
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Chen, Z. (author), Lin, Zhongwei (author), Zhai, Xiaoya (author), Liu, Jizhen (author)
A challenging topic arising in dynamic wind turbine wake is modeling, especially the low-order approximation. The central problem is the fact that it has high-dimensional and nonlinear wake characteristics. In this paper, a Koopman-linear flow estimator is designed according to the Koopman operator theory. Different from the conventional flow...
journal article 2022
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Sweering, Tim (author)
In this thesis we investigate the possibilities for applying Koopman methods for reachability analysis. Reachability analysis is a verification process used to determine that a dynamical system starting in an initial set X0 cannot reach a certain set of dangerous states D within a time interval [0,T]. Koopman methods seem promising, because they...
master thesis 2021
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Borghi, Alessandro (author)
The ability to compute models that correctly predict the trajectories of a nonlinear system can become a significant challenge in systems and control. The introduction of Koopman operator theory helped to deal with this challenge. The Koopman operator is a composition operator that globally describes a nonlinear system in an infinite-dimensional...
master thesis 2021
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Cassamo, Nassir (author), van Wingerden, J.W. (author)
The high dimensions and governing non-linear dynamics in wind farm systems make the design of numerical optimal controllers computationally expensive. A possible pathway to circumvent this challenge lies in finding reduced order models which can accurately embed the existing non-linearities. The work presented here applies the ideas motivated...
journal article 2020
Searched for: subject%3A%22Koopman%255C+operators%22
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