Fixed-time stabilization of the disturbed PMSM system via adaptive method

This paper investigates the stochastic fixed-time stability of permanent magnet synchronous motor(PMSM) in noisy environment. Via integrating the adaptive and fixed-time control strategies, the PMSM system can approach to stabilization within a stated time. Based on the stochastic Lyapunouv stability theory, the sufficient condition is derived for stabilizing the PMSM system within a fixed-time. Meanwhile, the upper bound of convergence time(UPT) can be estimated without prior knowledge of the initial states of PMSM. Finally, the correctness and effectiveness of the theoretical analysis are validated by simulating, in which the influence of stochastic noise on the stabilization of PMSM is uncovered and the designed control strategy is robust to unknown disturbance.