Modeling dynamic hysteresis of smart actuators with fuzzy tree

The inherent dynamic hysteresis, including rate-dependent and stress-dependent hysteresis, hinders the performance of smart actuators. In this paper, two methods are introduced to model the dynamic hysteresis of smart actuators based on fuzzy tree. The first method is to describe the rate-dependent hysteresis directly with fuzzy tree and the second is to propose a stressdependent Preisach model by building the relations between compress stress and the density function of the Preisch model with fuzzy tree. Simulation results show that both methods can satisfactorily describe rate-dependent or stressdependent hysteresis.