The hysteresis characteristic can significantly decrease the control accuracy of magnetic shape memory alloy actuator. To describe the hysteresis between input signal and the output signal of the magnetic shape memory alloy actuator, a modelling method based on the modified Krasnosel'skiiÀPokrovskii kernel is developed in this paper. The density parameters of the adopted hysteresis model are identified by the recursive least square method. The simulation results reveal that the proposed method has a good performance in describing the hysteresis modelling of magnetic shape memory alloy actuator and the modelling accuracy can be further improved by adjusting the number of Krasnosel'skiiÀPokrovskii kernel. The result showed that the adopted modelling method can accurately describe the hysteresis characteristic of the magnetic shape memory alloy actuator, and the maximum modelling error can be reduced to 0.0022 mm when the number of discretization lines is selected as L D 15.

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