This paper designs a predefined-time convergent continuous control algorithm to stabilize a permanent-magnet synchronous motor (PMSM) system. Three cases have been considered: disturbance-free, in presence of a deterministic disturbance satisfying a Lipschitz condition, and in presence of both a stochastic white noise and a deterministic disturbance satisfying a Lipschitz condition. The designed control law is free from the restrictions of exponential control growth and exact initial conditions knowledge. This is the first predefined-time convergent continuous control algorithm applied to stabilizing a PMSM system with both deterministic and stochastic disturbances, which enables one to a priori set the predefined convergence time even in presence of various disturbances of different nature. Numerical simulations are provided for a PMSM system to validate the obtained theoretical results in each of the three considered cases. The simulation results demonstrate that the employed values of the predefined-time convergent control inputs are applicable in practice.

本文设计了一种预定义时间收敛连续控制算法来稳定永磁同步电机 (PMSM) 系统。已经考虑了三种情况：无扰动、存在满足 Lipschitz 条件的确定性扰动、同时存在随机白噪声和满足 Lipschitz 条件的确定性扰动。设计的控制律不受指数控制增长和精确初始条件知识的限制。这是第一个应用于稳定具有确定性和随机扰动的 PMSM 系统的预定义时间收敛连续控制算法，即使存在不同性质的各种扰动，也可以先验地设置预定义收敛时间。为 PMSM 系统提供了数值模拟，以验证在所考虑的三种情况中的每一种情况下获得的理论结果。仿真结果表明，采用的预定义时间收敛控制输入值在实践中是适用的。