Abstract
The first part of the paper deals with the problem of restoration of a continuous statement of the tracking problem m the class of functions of arbitrary smoothness when adaptive optical system with a modal phase corrector is observed on a discrete set of points. The continuous problem is then used to get finite control vector under the condition that the system is controlled at the same points, where it is observed. A method is proposed of approximating spaces Cm (Q) by the compact. linear Cover of arbitrary smoooth splines. In the second part of the paper control problem is solved for adaptive optical system with segmented releted and electromechanica1 drives. Control vector synthes is is eveinised in. accordance with the given program of motion. ensuring achivement of extreme value of gualily Criterion, whirl, is light intensity in the focus of the mirror.
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