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On the Identification of Hysteretic Deformable Mirrors using Kernel Methods

Oosterhof, Lisa (2023) On the Identification of Hysteretic Deformable Mirrors using Kernel Methods. Master's Thesis / Essay, Applied Mathematics.

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Abstract

The hysteretic deformable mirror, abbreviated as HDM, is a deformable mirror with hysteresis behaviour. The HDM can be used in a telescope which can be used to study the properties of exoplanets. To identify the behaviour of the HDM, phenomenological models will be studied. To obtain such models from data, a suitable identification method has to be chosen. As the classical system identification approaches have many disadvantages such as overfitting, another approach will be taken. This research introduces regularized kernel methods in which the number of basis functions and data pairs is not fixed a priori. These methods are applied to obtain models of deformable mirrors that avoid overfitting, while also complying with the physics of the system.

Item Type: Thesis (Master's Thesis / Essay)
Supervisor name: Waarde, H.J. van and Jayawardhana, B.
Degree programme: Applied Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 20 Sep 2023 10:17
Last Modified: 20 Sep 2023 10:17
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/31455

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