The current posture adjustment and docking of various engine models typically rely on rigid tooling for support and locking, with the position and posture of the engine being confirmed and adjusted manually. Such docking methods often come with issues such as intense labor, low assembly efficiency, and lengthy assembly cycles. To address these problems, this paper takes the common aircraft engine as the research object and builds an automatic engine docking system. In the AMESim software, a theoretical model of Diverter-regulated cylinder position control is established. Parameters are adjusted based on different working condition parameter scenarios, and the variation curves of parameters such as pressure and flow rate over time under different working conditions are measured to analyze the actual operating status of the system. In the Simulink software, the Diverter-regulated cylinder position control system is reestablished. Sensitivity is used to analyze the Diverter-regulated cylinder unit, and the first-order sensitivity equation and the first-order sensitivity matrix are established. The values of each state variable of the system are extracted in real time using the simulation platform to obtain the sensitivity of the system to each parameter and obtain the optimal solution for each parameter, ensuring the high-precision response of each adjusting leg. The high-precision automatic mounting of the engine is achieved through numerical simulation.