A Fractional-order Reduced-order Active Disturbance Rejection Control (FO-RADRC) algorithm is proposed to improve the dynamic performance and anti-interference ability of the photoelectric stabilized platform. First, a Reduced-order Linear Extended State Observer (RLESO) is adopted to improve the observation efficiency and accuracy by using the measurability and reliability of the system output signal.Then, a Fractional-order PD (FOPD) is used as the control law, thus enhancing the system stability and control performance. Numerical simulation experiments are carried out, and the proposed algorithm is compared with the Linear Active Disturbance Rejection Control (LADRC) algorithm and the Reduced-order Linear Active Disturbance Rejection Control (RLADRC) algorithm.The results show that the proposed algorithm is superior to the contrast algorithms in terms of dynamic performance indicators, and has stronger disturbance suppression ability under the equivalent disturbance at different frequencies.These results verify the effectiveness and innovation of the improved algorithm in improving the control effect of the photoelectric stabilized platform.