Research on Modeling of Giant Magnetostrictive Actuator Based on Rate-Dependent Improved Prandtl-Ishlinskii Model

To address the nonlinear issues of rate-dependent hysteresis in Giant Magnetostrictive Actuators (GMA), an initial Prandtl-Ishlinskii (PI) model was developed specifically for GMA. Building on this, an improved rate-dependent PI model was created. Experimental validation shows that, under conditions ensuring good linear performance of GMA, the model can accurately describe the rate-dependent hysteresis characteristics of GMA from 1Hz to 90Hz. The classic PI model has a symmetric internal structure and is rate-independent, which makes it unsuitable for addressing the asymmetric hysteresis characteristics of GMA. It also fails to accommodate the frequency-dependent hysteresis behavior of these actuators. In contrast, the improved rate-dependent PI model features an asymmetric internal structure and incorporates frequency factors. This enhancement allows the model to effectively manage the asymmetric hysteresis characteristics of GMA and adapt to changes in input frequency, thereby improving its overall adaptability.