Predefined-Time Stabilization of Permanent-Magnet Synchronous Motor System Using Linear Time-Varying Control Input

This paper designs a predefined-time convergent continuous control algorithm using a linear time-varying control input to stabilize a permanent magnet synchronous motor system in three cases: 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. Numerical simulations are provided for a permanent magnet synchronous motor system to validate the obtained theoretical results. The simulation results demonstrate that the employed values of the predefined-time convergent control inputs are applicable in practice.