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

Computer Science

Scientific paper

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Scientific paper

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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