The Time-delay(TD) is a crucial component to affect the controlling bandwidth of adaptive optics system. For the purpose of improving the system bandwidth, the traditional processing methodology is exploiting the Smith predictor to compensate the time-delay in adaptive optics system. However, the compensation performance of Smith predictor depends on the accuracy of system model. When the parameter of time-delay mutated, the stability of system cannot be guaranteed. In order to implement the time-delay compensation and stability of controlling system in mutating condition, this paper propose a ADRC-Smith controller, which combined Smith predictor with active disturbance rejection control(ADRC) technology. Compared with the PI-Smith algorithm, the simulation results present that the ADRC-Smith Algorithm expand the fluctuation boundary of time-delay by 5 times, and still ensure the stability of system.