中文摘要：

经典Preisach理论在建模迟滞过程时要求其所描述迟滞过程必须满足擦除特性和滞环全等特性,并把这两个条件作为其建模的充分与必要条件。试验表明超磁致伸缩材料的迟滞过程仅满足擦除特性而不满足滞环全等要求,正是这个原因使经典模型在预测具有多次回转特征的高阶迟滞输出时存在较大误差。在经典模型基础上提出一种改进模型,新模型一方面放松经典模型对次环全等的严格要求,另一方面还在参数辨识过程中同时将一阶和二阶回转曲线数据考虑在内,从而提高其对高阶回转迟滞曲线的预测精度。最后在直动式超磁致伸缩执行器上进行试验。结果表明,在预测具有多次回转特征的高阶迟滞输出时,新模型的预测精度明显高于经典模型,对二阶、三阶滞回曲线的预测精度分别提高了34%和33%。

英文摘要：

The wiping-out property and the comgruency property are considered the necessary conditions for a hysteresis nonlinearity to be represented by the classical Preisach model, but in fact,though the wiping-out property agrees with the experiment results, the comgruency property is often experimentally proved to be unsatisfactory when running a giant magnetostritive actuator（GMA） on a high order hysteresis loops. On the basis of the classical model, a modified generalized Preisach model is presented, which relaxes the strict congruency requirement on the hysteresis loops of a GMA. A numerical expression of the model is derived in details, and the identification of that which needs first-order and second-order reversal curve experimental datasets simultaneously. A sinusoidal input signal is loaded to the GMA, and then the outputs of hysteresis are calculated by using this model. The results show that, compared with the classical model, the prediction errors to second-and three-order hysteresis loops are reduced by 34% and 33% respectively.