Abstract: Due to the increasing scale of interconnection of the modern power systems, the addition of flexible control systems and the long-distance transmission make the damping of power networks reduced continuously, and the variability of operation modes changes the distribution of power flows, which easily leads to low frequency oscillations. To solve this problem, a fuzzy sliding mode additional damping control strategy based on the joint error correction of the cerebellar model is presented. Firstly, on the basis of fuzzy sliding mode control (FSMC), the cerebellar model articulation control (CMAC) theory is introduced, and the CMAC-FSMC algorithm is constructed to improve the compensation ability of the fuzzy logic in the sliding mode approaching stage and maximize the system stability performance. Secondly, by constructing the adjustment index and the total control rate of the CMAC-FSMC, the control error is reduced and the control performance is improved. Finally, the model of the controlled system is established and the interval oscillation mode is determined by the linear descending method. The optimal feedback signal and the installation locations are selected by the geometric measure method. Based on the proposed CMAC-FSMC method, the wide area damping controller is designed. The simulation results of a ten-machine thirty-nine-node system show that the CMAC-FSMC control strategy is able to effectively improve the system damping and significantly suppress the low frequency oscillation.