Cooperative control of multiple ball screws based on fractional‐order composite controller

To address the problem of multi‐axis synchronous motion control, this paper establishes a dynamic model of a four‐axis ball screw press platform using the LuGre friction model, which effectively provides simulation verification for the controller. Based on this model, a composite controller combining fractional‐order operators and sliding mode control is proposed using multi‐agent cooperative control theory to solve the nonlinearity and synchronization issues of the system. This design improves stability and robustness while optimizing dynamic performance indicators such as response speed, overshoot, and settling time. The stability of the controller is proven using graph theory and the Lyapunov stability theorem. Simulation results demonstrate that the proposed method ensures multi‐axis synchronization consistency, exhibits strong robustness against disturbances, and is effective in tracking accuracy and dynamic response.