In this paper, targeting the permanent magnet synchronous motor chaotic system, we consider the system influenced by uncertain factors. We use the method of the exact feedback linearization which is based on differential geometry theory to establish the nonlinear robust control model and design the robust controller for realizing the robust stabilization and output tracking control of the permanent magnet synchronous motor chaotic system. Numerical simulation results demonstrate the effectiveness of the proposed method and the robustness of the controller.