Optimal distributed prediction and estimation controller with application to adaptive optics and optical interferometry

Roberto Cristi; Sergio Raffaele Restaino; Janet L. Le Blanc

doi:10.1117/12.548610

20 October 2004 Optimal distributed prediction and estimation controller with application to adaptive optics and optical interferometry

Roberto Cristi, Sergio Raffaele Restaino, Janet L. Le Blanc

Author Affiliations +

Proceedings Volume 5491, New Frontiers in Stellar Interferometry; (2004) https://doi.org/10.1117/12.548610
Event: SPIE Astronomical Telescopes + Instrumentation, 2004, Glasgow, United Kingdom

Abstract

In this paper we address the problem of designing a controller to compensate for phase errors in an array of ground based telescopes, subject to atmospheric distortion. Since the observations from the telescopes are coherently combined to improve resolution, this problem calls for two classes of control loops: a) local control on each telescope to compensate for random phase distortions, b) global control to align all phases coherently so that the array would act as a virtual telescope with a large aperture. By proper use of frequency decomposition, we show that a globally stable system can be designed where the local and global control systems are decoupled. This is obtained by assigning the control of high frequency disturbances to the local controller, and the overall control of low frequency disturbances to the global control system. These two controllers work at different sampling frequencies and can be decoupled using well known results from Multi Rate Processing techniques used as the basis of Quadrature Mirror Filters and Wavelets decompositions. The feasibility of this approach will be tested using data from the Naval Prototype Optical Interferometer (NPOI) in Flagstaff, AZ (USA).

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Roberto Cristi, Sergio Raffaele Restaino, and Janet L. Le Blanc "Optimal distributed prediction and estimation controller with application to adaptive optics and optical interferometry", Proc. SPIE 5491, New Frontiers in Stellar Interferometry, (20 October 2004); https://doi.org/10.1117/12.548610

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KEYWORDS

Telescopes

Adaptive optics

Control systems

Space telescopes

Distortion

Control systems design

Linear filtering

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