Modeling and parameter identification of hysteresis in giant magnetostrictive actuator based on Preisach theory

A Preisach-based numerical model for describing the nonlinear hysteresis of a reciprocating type giant magnetostrictive actuator(GMA) was established.The Preisach plane was discretized into L levels uniformly,and a constrained least-squares algorithm was employed to identify a discrete approximation to the Preisach measure.Then the model was implemented with first order reversal experiment data(FOD).Experiment was carried out on labVIEW virtual instrument development platform to verify the identification of the measure,in which GMA was applied at a low frequency(1 Hz) to cancel out the eddy effect.The results revealed that the algorithm was effective,and the error between the real displacements of GMA and the theoretical data calculated by the model was less 6%.Further analysis shows that the congruency restriction of Preisach theory to hysteresis is the main reason for producing the prediction error,so the only way to reduce the error is to modify the theory to relax the restriction.