The damping of the electrohydraulic position servo system is relatively low, resulting in slow response speed and poor tracking performance of the electrohydraulic position servo system. In order to solve this problem, a compound control strategy combining fuzzy adaptive control with positive speed feedback and negative acceleration feedback was proposed. The open loop gain of the system was improved through positive speed feedback, and the damping ratio was improved through negative acceleration feedback, so the dynamic response speed of the system was improved and the position error was reduced. The feedforward control was used to broaden the system bandwidth and further reduce the position tracking error. The system response performance under the traditional PI control, fuzzy PI control, and fuzzy PI compound control algorithm were simulated and analyzed. The results show that when the proposed compound control strategy is adopted, the system dynamic response speed is improved about by 76.9% compared with fuzzy PI control and 84.2% compared with traditional PI control, and its position tracking error is almost zero.