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Summary: In this article, aiming at the problems of stochastic disturbance and iron losses for the position tracking of permanent magnet synchronous motors (PMSMs), a finite‐time adaptive fuzzy command filter control (CFC) method is proposed. First, the fuzzy control method is applied to dispose of the stochastic nonlinear function in the motor model. Second, the problem of "explosion of complexity" in backstepping control is solved by using CFC technology, and the compensation signal is introduced to eliminate filtering error. Moreover, the finite‐time control method is applied to the stochastic nonlinear system of PMSMs to improve the convergence speed of the system, tracking accuracy, and anti‐interference ability. At last, the simulation results are given to verify the method can achieve fast tracking of the desired signal. [ABSTRACT FROM AUTHOR]

In this paper, a finite-time adaptive fuzzy dynamic surface control (DSC) method is proposed for the position tracking control of permanent magnet synchronous motors (PMSMs) stochastic nonlinear system with input constraint and load disturbance. First, the stochastic disturbance of PMSMs is considered in operation, and the fuzzy control method is applied to cope with the stochastic nonlinear function in the motor model. Second, the DSC technique is applied to avoid the "explosion of complexity" in the backstepping design. Moreover, the finite-time control is applied to the stochastic nonlinear system of PMSMs to improve the convergence speed of the system, tracking accuracy, and anti-interference ability. Conclusive, simulation results are given to verify the method that can achieve fast tracking of the desired signal. [ABSTRACT FROM AUTHOR]