One core study of adaptive optics wavefront control algorithm is to obtain the loaded voltage of each actuator rapidly and accurately. The algorithm based on the phase correction at the actuator position can dramatically reduce the data calculation, achieve the required phase precision with less convergence steps and realize the high-speed real-time control of the deformable mirror. Based on this algorithm, the calculation model for the phase control of 45 actuators deformable mirror of the SG-II update laser facility is set up. The simulation of the 2nd～36th items of Zernike polynomial aberrations [peak-to-valley (PV) value of 2 μm] shows that the phase correction precision of 0.01 μm can be achieved within 9 steps. The fitted shape of the first 15 items of Zernike polynomial aberrations shows that the aberration control ability of the deformable mirror can meet the requirements of the laser facility.