In order to obtain a clear retinal image resolution of the human eye, the deformable mirror in adaptive optics system must be able to track and compensate the eyes aberration information in real time. The capability of wavefront aberration correction, especially the dynamic wavefront aberration, is not only depending on the performance of the deformation mirror and other hardwares, but also closely related to the control algorithm of adaptive optics system. Without increasing hardware complexity, a human eye aberration correction optimal control model based on Kalman filter and linear quadratic Gaussian (LQG) control is proposed. Firstly, the dispersion of adaptive optics system is analyzed and it is shown that the study of adaptive optics system under the discrete model is feasible. Then, the LQG optimal control model based on the Kalman filtering is established, and the aberration correction algorithm based on LQG optimal control model is proposed. Finally, the simulation experiment demonstrates the feasibility and effectiveness of the proposed algorithm.