Finite-time control design for permanent magnet synchronous motor speed regulation system

This paper considers the finite-time speed regulation problem of permanent magnet synchronous motor (PMSM) servo system. Based on homogeneous system theory, a finite-time proportional-integral controller is first constructed for the d-axis current loop system, such that the desired current can be tracked in finite time. To overcome the influence of the unmatched load torque disturbance of the second-order model for the speed regulation system, a nonlinear integral dynamic is introduced. Then, based on an appropriate coordination and homogeneous system theory, a new finite-time proportional-integral-derivative controller is constructed. Strict theoretical analysis based on Lyapunov stability theory is provided to verify the finite-time stability of the corresponding closed-loop system. Finally, numerical simulation and experimental results are conducted to validate the effectiveness of the proposed finite-time control method.