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In this paper we consider the low-cost high-speed adaptive optical system to be used for a real-time turbulence correction. It consists of standard, high-speed (up to 2 kHz frame rate) Shack-Hartmann wavefront sensor, electronics, software and … stacked actuator deformable mirror. We discuss the advantages and disadvantages of the use of such a correctors compare to standard bimorph mirrors. Also, various algorithms of correction are considered. We suggest to use simple phase conjugation method to obtain the best speed result. Though, for better correction simple hill-climbing approach would be preferable. Timing diagrams of correction are presented and discussed. Important question – how fast should be adaptive system if we want to compensate turbulence changing with the frequency f is considered. As a result – we built the adaptive system that can compensate for real-time aberrations with the closed-loop frequency of 200 Hz. The amplitude of corrected aberrations is in the range of +/- 1.5 μ (local wavefront distortions). Maximum phase aberrations could be compensated are up to 8 μ.