Two wavefronts are of interest in the AirBorne Laser, namely, the inbound wavefront from the 'beacon' and the outbound wavefront of the high-energy laser. Since these two wavefronts propagate through different regions of the atmosphere and at different time instants, the spatial-temporal correlation between the Zernike polynomial phase expansion coefficients representing these wavefronts must be determined. Using this correlation information, an underlying linear, stochastic, dynamical system that represents the atmosphere is identified. The wavefront sensor and deformable mirror dynamics are also modeled. These models are then used in a Kalman filter which provides estimates of the outbound wavefront's Zernike coefficients using measurements of the inbound wavefront. A linear quadratic controller is also developed so that configuration, that is, atmospheric compensation, can be performed. The designed adaptive optics control system's performance is evaluated in a simulated experiment.


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