A geometric view of adaptive optics control: boiling atmosphere model

Donald M. Wiberg; Claire E. Max; Donald T. Gavel

doi:10.1117/12.552349

25 October 2004 A geometric view of adaptive optics control: boiling atmosphere model

Donald M. Wiberg, Claire E. Max, Donald T. Gavel

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Proceedings Volume 5490, Advancements in Adaptive Optics; (2004) https://doi.org/10.1117/12.552349
Event: SPIE Astronomical Telescopes + Instrumentation, 2004, Glasgow, United Kingdom

Abstract

The separation principle of optimal adaptive optics control is derived, and definitions of controllability and observability are introduced. An exact finite dimensional state space representation of the control system dynamics is obtained without the need for truncation in modes such as Zernikes. The uncertainty of sensing uncontrollable modes confuses present adaptive optics controllers. This uncertainty can be modeled by a Kalman filter. Reducing this uncertainty permits increased gain, increasing the Strehl, which is done by an optimal control law derived here. A general model of the atmosphere is considered, including boiling.

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Donald M. Wiberg, Claire E. Max, and Donald T. Gavel "A geometric view of adaptive optics control: boiling atmosphere model", Proc. SPIE 5490, Advancements in Adaptive Optics, (25 October 2004); https://doi.org/10.1117/12.552349

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