In order to realize the function of rapid space transformation in finite time for small-scale cultural service complex applications, this paper proposes the permanent magnet synchronous motor (PMSM) device as the execution unit, and designs a non-singular terminal sliding mode control scheme based on an improved approaching rate. The design of the sliding surface is combined with a special terminal attractor, which not only ensures the rapid convergence of the system state in finite time, but also strengthens the anti-interference ability of the PMSM speed control system. The introduction of the new approaching rate effectively improves the chattering phenomenon in the control process and improves the control accuracy of the system. Finally, a simulation study on the PMSM system is performed, and the experimental results prove the effectiveness of the control scheme.