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Magnetic shape memory alloy materials have a bright prospect in micro-nano intelligent actuators, however, the hysteresis in these materials is prevalent and damages the positioning precision of these actuators. In this paper, a Pi-Sigma neural network model with a modified backlash-like operator is developed to capture the dynamic hysteresis of the magnetic shape memory alloy material actuator. The modified backlash-like operator is designed for the multi-value-mapping and asymmetricaldoi:10.12693/aphyspola.137.634 fatcat:dybwtoxwv5fg7f2lgwc2fwyrhu