Modeling of rate-dependent asymmetric hysteresis nonlinearity for magnetostrictive actuators

Magnetostrictive actuators exhibit inherent rate-dependent asymmetric hysteresis nonlinearities. In this paper, a rate-dependent asymmetric shifted Prandtl-Ishlinskii (RASPI) model was first proposed, being composed by two components: a static asymmetric shifted Prandtl-Ishlinskii (ASPI) model and a rate-dependent operator. Compared with existed rate-dependent hysteresis models which employ the derivative of the input signal to describe the rate-dependent effect, the proposed RASPI model utilizes a pure time delay as the rate-dependent operator to reflect the change of the hysteresis due to different input frequencies. Experimental tests were then conducted on the magnetostrictive actuator and the results show that the RASPI model corresponds well with the experimental data.