Title
ℋ2-optimal control of an adaptive optics system. Pt.I: data-driven modeling of the wavefront disturbance
Author
TNO Industrie en Techniek
Hinnen, K.J.G.
Verhaegen, M.H.
Doelman, N.J.
Contributor
Tyson, R.K. (editor)
Lloyd-Hart, M. (editor)
Publication year
2005
Abstract
Even though the wavefront distortion introduced by atmospheric turbulence is a dynamic process, its temporal evolution is usually neglected in the adaptive optics (AO) control design. Most AO control systems consider only the spatial correlation in a separate wavefront reconstruction step. By accounting for the temporal evolution of the wavefront it should be possible to further reduce the residual phase error and enable the use of fainter guide stars. Designing a controller that takes full advantage of the spatio-temporal correlation in the wavefront requires a detailed model of the wavefront distortion. In this paper we present a dedicated subspace identification algorithm that is able to provide the required prior knowledge. On the basis of open-loop wavefront slope data it estimates a multi-variable state-space model of the wavefront disturbance. The model provides a full description of the spatio-temporal statistics in a form that is suitable for control. The algorithm is demonstrated on open-loop wavefront data.
Subject
Adaptive optics
Data-driven disturbance modeling
Optimal control
Spatial-temporal correlation
Atmospheric turbulence
Distortion (waves)
Mathematical models
Optical correlation
Optimal control systems
State space methods
Phase errors
Wavefront disturbances
Physics
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http://resolver.tudelft.nl/uuid:497b6ddc-6e6c-4b4c-b964-ec14e2ffcfff
TNO identifier
238907
ISSN
0277-786X
Source
Astronomical Adaptive Optics Systems and Applications II, 3-4 August 2005, San Diego, CA, USA, 5903 (5903)
Document type
conference paper