Preisach model of SMA actuators using proportional relationship of major loop of hysteresis

Recently, there has been a high demand for smart actuators in the field of micro-machines. However, the control accuracy of smart actuators is currently limited due to their inherent hysteresis nonlinearity. The Preisach hysteresis model has emerged as an appropriate model for the behavior of many smart actuators, e.g., a shape memory alloy (SMA). Yet it is still not easy to construct a practical model of hysteresis using the classical Preisach model. Accordingly, the current paper proposes a new simple method for modeling the hysteresis nonlinearity of an SMA. Using only the proportional relationship of the major loop of hysteresis, the proposed method makes the computation of the Preisach model much easier. The modeling accuracy is demonstrated through experimentation and a comparison between the proposed model and the classic Preisach model.