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For the speed regulation problem of a permanent magnet synchronous motor (PMSM), a new class of finite-time control algorithms is designed and utilized to improve PMSM system's dynamical performance and disturbance rejection ability. Specifically, based on a second-order model of the speed regulation system, a bounded finite-time control algorithm is first proposed to conquer the saturation constraint for the considered system. Rigorous theoretical analysis based on the Lyapunov stability theory is provided to demonstrate the finite-time stability of the closed-loop system under consideration. Meanwhile, to improve the disturbance rejection ability of the PMSM system in the presence of disturbance load torque, an improved bounded finite-time controller based on disturbance estimation compensation is further designed. Since the effect of a disturbance signal can be rejected by using feedforward compensation, the improved bounded finite-time controller could offer a better disturbance rejection performance. Finally, numerical simulations and experimental results are provided to verify the effectiveness and advantages of the proposed bounded finite-time control method.
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Du et al. (2020) studied this question.
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