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Aiming at the problem that uncertainties such as parameter perturbation and external disturbance affect the robustness of induction coupled power transmission systems, the robust controller based on H∞ optimization method is designed. In order to facilitate the study of robust control of the system, the generalized state space averaging equation and the linear fractional transformation method are used to establish the structured uncertain model of the induction coupled power transmission system. Then, the robust controller based on the model is designed by H∞ optimization method, and the robustness of the closed-loop control is analyzed according to μ theory. Finally, the transient response curves of the open loop and closed loop systems are obtained by simulation. The results show that the The controller designed by H∞ optimization method not only guarantees the robustness of the system, but also makes the load voltage of the system reach stable state quickly.