H2 -optimal control of an adaptive optics system: Part I, data-driven modeling of wavefront disturbance

Karel Hinnen; Michel Verhaegen; Niek Doelman

doi:10.1117/12.614399

25 August 2005 Η₂-optimal control of an adaptive optics system: part I, data-driven modeling of wavefront disturbance

Karel Hinnen, Michel Verhaegen, Niek Doelman

Proceedings Volume 5903, Astronomical Adaptive Optics Systems and Applications II; 590309 (2005) https://doi.org/10.1117/12.614399
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

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.

Citation Download Citation

Karel Hinnen, Michel Verhaegen, and Niek Doelman "Η₂-optimal control of an adaptive optics system: part I, data-driven modeling of wavefront disturbance", Proc. SPIE 5903, Astronomical Adaptive Optics Systems and Applications II, 590309 (25 August 2005); https://doi.org/10.1117/12.614399

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