The umbilical winch plays a pivotal role in the launch and recovery system of remotely operated vehicles (ROVs). The control of the cable arrangement mechanism directly influences the winch's operational stability. To address the complex working conditions encountered by umbilical winches and based on existing research, a mechanism and servo control mode for automatic cable arrangement of the umbilical winch were designed. A simulation model of "Three closed loops" was developed, following the principles of servo control theory. The parameters for the current and speed loops were determined, and an adaptive fuzzy logic controller was designed for the position loop, incorporating output proportion self-adjustment. Through simulations conducted under various working conditions such as corrected inclined cable, and Lebus Rope Slots, it was demonstrated that the adaptive fuzzy logic controller outperformed the PI control. The feasibility of the proposed scheme was further substantiated through theoretical analysis and the simulation results obtained under different working scenarios.