Minimum-Variance Control for Astronomical Adaptive Optics with Resonant Deformable Mirrors

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Correia, C (Author) Other; Raynaud, HF (Author) Other; Kulcsár, C (Author) Other; Conan, JM (Author) Other

Journal

Title: European Journal of Control

Vol. 17 No. 1

Pages: 222-236

ISSN: 0947-3580

Publisher: LAVOISIER

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 7 Citations

Other information

Authenticus ID: P-009-FZ2

DOI: 10.3166/ejc.17.222-236

Abstract (EN): Adaptive Optics (AO) systems use a Deformable Mirror (DM) to counter in real-time the nefarious effects of atmospheric turbulence on ground-based telescope imaging. This article presents a brief historical overview of AO design, seen as a strongly multi-variable Minimum- Variance (MV) disturbance rejection problem associated with a hybrid continuous/discrete time MV control problem. It is shown that for a wide class of LTI DM and turbulence models, this hybrid MV problem can be transformed into an equivalent discrete-time LQG formulation. A discrete-time stochastic model enables to compute the optimal control in standard reconstructed feedback form and to evaluate performance degradation for simpler sub-optimal solutions. An example of tip-tilt DM control for the European Extremely Large Telescope (E-ELT) is presented. © 2011 EUCA.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15